Петросян Леон Аганесович — различия между версиями
Материал из Энциклопедия фонда «Хайазг»
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| − | | краткая информация = Математик | + | | краткая информация = Математик, специалист по теории управления, дифференциальным уравнениям и их приложениям |
| тэг01 = Математик | | тэг01 = Математик | ||
| тэг02 = Профессор | | тэг02 = Профессор | ||
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=Биография= | =Биография= | ||
| − | + | ==Образование== | |
| + | *1957-1960, Ереванский государственный университет. Мат-Мех. | ||
| + | *1960-1962, Ленинградский государственный университет. Мат-Мех. | ||
| + | ===аспирантура=== | ||
| + | *1962-1965, Ленинградский государственный университет. Мат-Мех. | ||
| + | *защита кандидатской диссертации - 1965 [Об одном классе игр преследования] | ||
| + | *защита докторской диссертации - 1972 [Дифференциальные игры преследования] | ||
| − | + | ==Область научных интересов== | |
| − | + | Теория дифференциальных и динамических игр, теория управления. | |
| − | + | ==Научная и педагогическая деятельность== | |
| − | Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям | + | Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям. |
Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации. | Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации. | ||
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Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды. | Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды. | ||
| − | Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ | + | Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ. |
| + | |||
| + | В качестве председателя административного Совета УНЦ ПМ-ПУ руководит работой этого центра. | ||
| + | |||
| + | С 1987 года заведует кафедрой математической статистики, теории надежности и массового обслуживания. | ||
| + | |||
| + | ==Подготовка кадров высшей квалификации== | ||
| + | Среди его учеников 7 докторов и 40 кандидатов наук. | ||
| + | |||
| + | С 1976 года является председателем двух специализированных Советов по присуждению ученой степени кандидата физико-математических и технических наук по вычислительной математике, математической кибернетике, вычислительным машинам, программированию и др. | ||
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| + | ==Общественная и редакторская деятельность== | ||
| + | Член редколлегий ряда российских и международных научных журналов. | ||
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| + | *Редактор (совместно с В.В. Мазаловым) международного ежегодника "Game Theory and Applications" (Nova Sci. Publ., New York, USA) | ||
| + | *Редактор международного журнала "International Game Theory Review" (World Sci. Publ., London, Singapore) | ||
| + | *Член президиума международного общества динамических игр | ||
| + | *Руководитель научных проектов по грантам РФФИ и международным грантам | ||
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==Список публикаций== | ==Список публикаций== | ||
| − | *Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999). | + | Он автор более 140 научных работ (из них 17 монографий, три из которых переведены в США и Великобритании), внесших выдающийся вклад в отечественную и мировую науку. |
| − | *Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999) | + | |
| − | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000) | + | *Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999). |
| − | *Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000. | + | *Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999) |
| − | *Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2 | + | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000) |
| − | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998. | + | *Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000. |
| − | *Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6 | + | *Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2 |
| − | *Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka'', Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7 | + | *Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998. |
| − | *Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206. | + | *Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6 |
| − | *Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil) | + | *Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka'', Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7 |
| − | *Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov) | + | *Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206. |
| − | *Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4 | + | *Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil) |
| − | *Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov) | + | *Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov) |
| − | *Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7 | + | *Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4 |
| − | *Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X | + | *Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov) |
| − | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev) | + | *Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7 |
| − | *Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov) | + | *Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X |
| − | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala) | + | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev) |
| − | *Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego) | + | *Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov) |
| − | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil) | + | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala) |
| − | *Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4 | + | *Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego) |
| − | *Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz. | + | *Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil) |
| − | *Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov) | + | *Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4 |
| − | *Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06 | + | *Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz. |
| − | *{Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka'', Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30) | + | *Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov) |
| − | *Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht) | + | *Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06 |
| − | *Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36 | + | *{Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka'', Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30) |
| − | *Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41 | + | *Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht) |
| − | *Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka) | + | *Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36 |
| − | *Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man) | + | *Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41 |
| − | *Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar) | + | *Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka) |
| − | *L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119. | + | *Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man) |
| − | *Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990. | + | *Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar) |
| − | *Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau) | + | *L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119. |
| − | *Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet) | + | *Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990. |
| − | *Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle) | + | *Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau) |
| − | *Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989. | + | *Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet) |
| − | *Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka) | + | *Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle) |
| − | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp. | + | *Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989. |
| − | *Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski) | + | *Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka) |
| − | *Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski) | + | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp. |
| − | *Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski) | + | *Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski) |
| − | *Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev) | + | *Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski) |
| − | *Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski) | + | *Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski) |
| − | *Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev) |
| − | *Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134. | + | *Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski) |
| − | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea) | + | *Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski) |
| − | *Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984. | + | *Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134. |
| − | *Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121. | + | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea) |
| − | *Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984. | + | *Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984. |
| − | *{Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp. | + | *Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121. |
| − | *Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian) | + | *Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984. |
| − | *Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983. | + | *{Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp. |
| − | *Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983. | + | *Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian) |
| − | *Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova) | + | *Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983. |
| − | *Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983. | + | *Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983. |
| − | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp. | + | *Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova) |
| − | *Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht) | + | *Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983. |
| − | *Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian) | + | *{Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp. |
| − | *Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30. | + | *Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka'' Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht) |
| − | *Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978. | + | *Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian) |
| − | *Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732. | + | *Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30. |
| − | *Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev) | + | *Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978. |
| − | *Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata). | + | *Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732. |
| − | *Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83. | + | *Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev) |
| − | *Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky) | + | *Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata). |
| − | *Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83. |
| − | *Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83. | + | *Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky) |
| − | *Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980. | + | *Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski) |
| − | *Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20. | + | *Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83. |
| − | *Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17 | + | *Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980. |
| − | *Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130. | + | *Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20. |
| − | *Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui) | + | *Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17 |
| − | Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. | + | *Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130. |
| − | *Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. | + | *Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui) |
| − | *Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978. | + | Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. |
| − | *Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978. | + | *Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977. |
| − | *Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978. | + | *Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978. |
| − | *Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146. | + | *Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978. |
| − | *Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved) | + | *Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978. |
| − | *Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov) | + | *Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146. |
| − | *Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht) | + | *Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved) |
| − | *Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert). | + | *Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov) |
| − | *Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili) | + | *Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht) |
| − | Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic) | + | *Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert). |
| − | Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic) | + | *Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili) |
| − | *Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) | + | Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic) |
| − | *Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) | + | Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic) |
| − | *Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280. | + | *Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) |
| − | *Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek) | + | *Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova) |
| − | *Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili) | + | *Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280. |
| − | *Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic) | + | *Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek) |
| − | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case) | + | *Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili) |
| − | *Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47. | + | *Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic) |
| − | *Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review) | + | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case) |
| − | *Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova) | + | *Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47. |
| − | *Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman) | + | *Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review) |
| − | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman) | + | *Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova) |
| − | *Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p. | + | *Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman) |
| − | *Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel) | + | *Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman) |
| − | *Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p. |
| − | *Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766. | + | *Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel) |
| − | *Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski) |
| − | *Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell) | + | *Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766. |
| − | *Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski) | + | *Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski) |
| − | *Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow) | + | *Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell) |
| − | *Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski) |
| − | *Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt) | + | *Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow) |
| − | *Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) | + | *Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz) |
| − | *Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow) | + | *Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt) |
| − | *Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) | + | *Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) |
| − | *Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow) | + | *Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow) |
| − | *Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell) |
| − | *Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow) |
| − | *Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz) |
| − | *Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz) | + | *Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz) |
| − | *Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel) | + | *Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz) |
| − | *Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky) | + | *Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz) |
| − | *Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee) | + | *Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel) |
| − | *Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney) | + | *Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky) |
| − | *Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney) | + | *Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee) |
| − | *Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996). | + | *Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney) |
| − | *Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42. | + | *Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney) |
| − | *Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46. | + | *Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996). |
| − | *Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60. | + | *Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42. |
| − | *Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000. | + | *Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46. |
| − | *Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999. | + | *Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60. |
| − | *Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999. | + | *Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000. |
| − | *Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991. | + | *Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999. |
| − | *Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997. | + | *Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999. |
| − | *Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25. | + | *Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991. |
| − | *Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994. | + | *Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997. |
| − | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53. | + | *Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25. |
| − | *Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991. | + | *Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994. |
| − | *Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988. | + | *Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53. |
| − | *Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988. | + | *Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991. |
| − | *Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990. | + | *Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988. |
| − | *Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989. | + | *Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988. |
| − | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987. | + | *Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990. |
| − | *Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999. | + | *Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989. |
| − | *Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999. | + | *Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987. |
| − | *Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000. | + | *Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999. |
| − | *Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001. | + | *Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999. |
| − | *Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999. | + | *Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000. |
| − | *Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian) | + | *Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001. |
| − | *Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000 | + | *Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999. |
| − | *Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian) | + | *Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian) |
| − | *Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002. | + | *Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000 |
| − | *Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002 | + | *Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian) |
| − | *Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002. | + | *Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002. |
| − | *Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002. | + | *Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002 |
| + | *Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002. | ||
| + | *Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002. | ||
*Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003. | *Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003. | ||
| + | |||
==Достижения== | ==Достижения== | ||
*доктор физико-математических наук | *доктор физико-математических наук | ||
*профессор | *профессор | ||
| + | В 1994 и 1997 годах ему присуждалась Государственная научная стипендия. | ||
==Изображения== | ==Изображения== | ||
<gallery>Изображение:Petrosjan1.jpg</gallery> | <gallery>Изображение:Petrosjan1.jpg</gallery> | ||
Версия 15:03, 21 ноября 2008
Дополните информацию о персоне
| Петросян Леон Аганесович | |
| |
| Краткая информация: Математик, специалист по теории управления, дифференциальным уравнениям и их приложениям |
Содержание
Биография
Образование
- 1957-1960, Ереванский государственный университет. Мат-Мех.
- 1960-1962, Ленинградский государственный университет. Мат-Мех.
аспирантура
- 1962-1965, Ленинградский государственный университет. Мат-Мех.
- защита кандидатской диссертации - 1965 [Об одном классе игр преследования]
- защита докторской диссертации - 1972 [Дифференциальные игры преследования]
Область научных интересов
Теория дифференциальных и динамических игр, теория управления.
Научная и педагогическая деятельность
Петросян Леон Аганесович является видным ученым в области прикладной математики, известным специалистом по теории управления, дифференциальным уравнениям и их приложениям.
Им впервые построена математически корректная теория управления многокритериальными системами, основанная на регуляризации принципов оптимальности, обеспечивающих устойчивое во времени развитие сложной системы, описываемой дифференциальными уравнениями и общими динамическими системами. Эта теория содержит строгие постановки типичных задач, условия их регуляризации, способы построения искомых управлений; в ней изучены вопросы корректности и реализуемости найденных решений. Л.А.Петросяном впервые развита теория конфликтно-управляемых процессов с неполной информацией, не сводимых к процессам с полной информацией: обоснован метод выбора случайных управляющих воздействий и построены решения типичных классов задач с запаздыванием информации.
Одновременно Л. А. Петросян являлся руководителем работ по важнейшей тематике. Проведенные под его руководством работы доводились до реализации в специальных системах управления, в них предлагались способы управления в задачах поиска, преследования и перехвата подвижных объектов, оптимизация распределения капиталовложений по отраслям и направлениям деятельности, оптимальное поведение в задачах охраны окружающей среды.
Л. А. Петросян работает в СПбГУ с момента окончания аспирантуры в 1965 году, он ведет большую научно-организационную, педагогическую и общественную работу. С 1975 года и по настоящее время он первый избранный декан факультета ПМ-ПУ.
В качестве председателя административного Совета УНЦ ПМ-ПУ руководит работой этого центра.
С 1987 года заведует кафедрой математической статистики, теории надежности и массового обслуживания.
Подготовка кадров высшей квалификации
Среди его учеников 7 докторов и 40 кандидатов наук.
С 1976 года является председателем двух специализированных Советов по присуждению ученой степени кандидата физико-математических и технических наук по вычислительной математике, математической кибернетике, вычислительным машинам, программированию и др.
Общественная и редакторская деятельность
Член редколлегий ряда российских и международных научных журналов.
- Редактор (совместно с В.В. Мазаловым) международного ежегодника "Game Theory and Applications" (Nova Sci. Publ., New York, USA)
- Редактор международного журнала "International Game Theory Review" (World Sci. Publ., London, Singapore)
- Член президиума международного общества динамических игр
- Руководитель научных проектов по грантам РФФИ и международным грантам
Список публикаций
Он автор более 140 научных работ (из них 17 монографий, три из которых переведены в США и Великобритании), внесших выдающийся вклад в отечественную и мировую науку.
- Petrosjan L. A. Semicooperative games. Vestnik St. Petersburg Univ. Math. 31 (1998), no. 2, 57-63 (1999).
- Petrosjan L. A. On constructing a unique by payoffs Nash equilibrium in a perfect-information game. Vestnik St. Petersburg Univ. Math. 32 (1999)
- Petrosjan L. A. A unique Nash solution for the games with perfect information. Int. J. Math. Game Theory Algebra 10 (2000)
- Petrosjan L. A., Zaccour Georges A multistage supergame of downstream pollution. Advances in dynamic games and applications (Kanagawa, 1996), 387-403, Ann. Internat. Soc. Dynam. Games, 5, Birkhäuser Boston, Boston, MA, 2000.
- Petrosjan L. A. Issledovaniya po geometrii prostogo presledovaniya. (Russian) [Investigations in the geometry of simple pursuit] Edited by L. A. Petrosjan. Yakutsk. Gos. Univ., Yakutsk, 1991. 105 pp. ISBN: 5-230-20971-2
- Petrosjan L. A. A unique Nash solution for the games with perfect information. Game theory and applications, IV, 121-129, Nova Sci. Publ., Commack, NY, 1998.
- Petrosjan L. A. Game theory and applications. IV. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1998. vi+194 pp. ISBN: 1-56072-629-6
- Petrosjan L. A. International year-book of game theory and applications. Vol. 1. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. VO ``Nauka, Novosibirsk, 1993. 106 pp. ISBN 5-02-030665-7
- Petrosjan L. A., Ayoshin Dmitri A, Tanaka Tamaki Construction of a time consistent core in multichoice multistage games. Decision theory and related fields (Japanese) (Kyoto, 1997). S=urikaisekikenky=usho K=oky=uroku No. 1043 (1998), 198-206.
- Petrosjan L. A. Agreeable solutions in differential games. Int. J. Math. Game Theory Algebra 7 (1998), no. 2-3, 165-177. (Reviewer: H. Abou-Kandil)
- Petrosjan L. A., Zakharov V. V. Mathematical models in environmental policy analysis. Translated from the Russian by Y. M. Donets. Nova Science Publishers, Inc., Commack, NY, 1997. 246 pp. ISBN: 1-56072-515-X (Reviewer: Alexander Abakumov)
- Petrosjan L. A., Zenkevich N. A., Semina E. A. {Teoriya igr}. (Russian) [Game theory] "Vyssh. Shkola", Moscow; Knizhnyui Dom "Universitet", Moscow, 1998. 301 pp. ISBN: 5-06-001005-8; 5-8013-0007-4
- Petrosjan L. A., Zakharov, V. V. Matematicheskie modeli v ekologii. (Russian) [Mathematical models in ecology] Izdatel'stvo Sankt-Peterburgskogo Universiteta, St. Petersburg, 1997. 254 pp. ISBN: 5-288-01527-9 (Reviewer: Alexander Abakumov)
- Petrosjan L. A. Differential games of pursuit. Translated from the Russian by J. M. Donetz and the author. Series on Optimization, 2. World Scientific Publishing Co., Inc., River Edge, NJ, 1993. xx+325 pp. ISBN: 981-02-0979-7
- Game theory and applications. III. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1997. iv+225 pp. ISBN: 1-56072-496-X
- Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Game theory and applications, 47-53, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Asen L. Dontchev)
- Petrosjan L. A. On new strongly dynamically stable optimality principles in cooperative differential games. (Russian) Trudy Mat. Inst. Steklov. 211 (1995), Optim. Upr. i Differ. Uravn., 370-376. (Reviewer: Anatolii F. Kleimenov)
- Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Game theory and applications, II, 185-191, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Veijo Kaitala)
- Filar Jerzy A., Petrosjan L. A. Integral and differential optimality principles in $n$-person differential games. Game theory and applications, 155-168, Nova Sci. Publ., Commack, NY, 1996. (Reviewer: Fausto Mignanego)
- Petrosjan L. A., Tanaka Tamaki Multistage games with vector payoffs. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 97-102. (Reviewer: H. Abou-Kandil)
- Game theory and applications. II. Edited by L. A. Petrosjan and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. iv+223 pp. ISBN: 1-56072-390-4
- Petrosjan L. A., Zenkevich N. A. Game theory. With the assistance of Elena A. Semina. Translated from the Russian manuscript by J. M. Donetz.
- Petrosjan L. A. The Shapley value for differential games. New trends in dynamic games and applications, 409-417, Ann. Internat. Soc. Dynam. Games, 3, Birkhauser Boston, Boston, MA, 1995. (Reviewer: Anatolii F. Kleimenov)
- Game theory and applications. Edited by L. A. Petrosjan [L. A. Petrosjan] and V. V. Mazalov. Nova Science Publishers, Inc., Commack, NY, 1996. vi+211 pp. ISBN: 1-56072-266-5 90-06
- {Modelirovanie prirodnykh sistem i zadachi optimal'nogo upravleniya}. (Russian) [Modeling of natural systems and optimal control problems] Papers from the School "Mathematical Problems in Ecology" held in Chita. Edited by L. A. Petrosjan and V. V. *Mazalov. VO ``Nauka, Novosibirsk, 1993. 96 pp. ISBN: 5-02-030207-4 93-06 (49N55 93A30)
- Petrosjan L. A. The regularization of NB-scheme in differential games. Dynam. Control 5 (1995), no. 1, 31-35. (Reviewer: E. G. Alcprime brekht)
- Petrosjan L. A. Construction of strongly dynamically stable solutions in cooperative differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 2, 33-38, 114 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 2, 32-36
- Petrosjan L. A. The values of hierarchical differential games. (Russian) Vestnik S.-Peterburg. Univ. Mat. Mekh. Astronom. 1992, vyp. 1,39-43, 117-118 translation in Vestnik St. Petersburg Univ. Math. 25 (1992), no. 1, 37-41
- Petrosjan L. A. Strongly dynamically stable optimality principles in multicriterial optimal control problems. J. Comput. *Systems Sci. Internat. 32 (1994), no. 2, 146-150; translated from Izv. Ross. Akad. Nauk Tekhn. Kibernet. 1993, no. 1, 169-174 (Russian) (Reviewer: Zdzislaw Wyderka)
- Petrosjan L. A., Garnaev A.Yu. {Igry poiska}. (Russian) [Search games] St.-Peterbg. Gos. Univ., St. Petersburg, 1992. 217 pp. ISBN: 5-288-00482-X (Reviewer: M. S. Shtil'man)
- Petrosjan L. A. The time consistency of the optimality principles in nonzero sum differential games. Dynamic games in economic analysis (Espoo, 1990), 299-311, Lecture Notes in Control and Inform. Sci., 157, Springer, Berlin, 1991. (Reviewer: Josef Shinar)
- L. A. Petrosjan (on the occasion of his fiftieth birthday). (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1990, vyp. 2, 117-119.
- Petrosjan L. A. Differential games with dependent strategy sets. (Russian) Academician V. V. Novozhilov - scholar, teacher, citizen (Russian), 230-236, 262, Voprosy Mekh. Protsess. Upravl., 13, Leningrad. Univ., Leningrad, 1990.
- Petrosjan L. A., Kuzcprime mina T. I. {Beskoalitsionnye differentsial'nye igry}. (Russian) [Noncooperative differential games] Irkutsk. Gos. Univ., Irkutsk, 1989. 150 pp. (Reviewer: L. F. Pau)
- Petrosjan L. A., Zakharov V. V. {Vvedenie v matematicheskuyu ekologiyu}. (Russian) [Introduction to mathematical ecology] Leningrad. Univ., Leningrad, 1986. 224 pp. (Reviewer: D. O. Logofet)
- Petrosjan L. A., Tomskiui G. V. {Elementarnye zadachi presledovaniya i ubeganiya}. (Russian) [Elementary problems of pursuit and evasion] Yakutsk. Gos. Univ., Yakutsk, 1989. 81 pp. (Reviewer: W. H. Ruckle)
- Petrosjan L. A. Multistage multicriterial games with complete information. (Russian) Game theory and its applications (Russian), 66-74, 130, Kemer. Gos. Univ., Kemerovo, 1989.
- Petrosjan L. A., Malafeev O. A. Differential multicriterial $n$-person games. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1989, vyp. 3,27-31, 121 translation in Vestnik Leningrad Univ. Math. 22 (1989), no. 3, 33-38 (Reviewer: Zdzislaw Wyderka)
- {Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1989. 135 pp.
- Petrosjan L. A. Strong dynamic stability of optimality principles in noncooperative differential games. (Russian) Dynamics of control systems (Russian), 147-153, 205, Voprosy Mekh. Protsess. Upravl., 11, Leningrad. Univ., Leningrad, 1989. (Reviewer: Witold Rzymowski)
- Petrosjan L. A., Zenkevich N. A. {Optimal'nyi poisk v usloviyakh konflikta}. (Russian) [Optimal search under conditions of conflict] Leningrad. Univ., Leningrad, 1987. 76 pp. (Reviewer: Boleslaw Tolwi'nski)
- Petrosjan L. A., Shiryaev V. D. {Ierarkhicheskie igry}. (Russian) [Hierarchical games] Mordovskiui Gosudarstvennyui Universitet, Saransk, 1986. 92 pp. (Reviewer: Bolesl aw Tol wi'nski)
- Petrosjan L. A., Tomskiui G. V. {Differentsial'nye igry s nepolnoui informatsieui }. (Russian) [Differential games with incomplete information] Irkutcydot sk. Gos. Univ., Irkutsk, 1984. 188 pp. (Reviewer: Andrei V. Panteleyev)
- Petrosjan L. A. Classification of dynamically stable solutions in cooperative differential games. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1986, no. 7, 24-35, 87. (Reviewer: Bolesl aw Tol wi'nski)
- Petrosjan L. A., Danilov N. N. {Kooperativnye differentsial'nye igry i ikh prilozheniya}. (Russian) [Cooperative differential games and their applications] Tomsk. Gos. Univ., Tomsk, 1985. 276 pp. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A., Skitovich V. V. Search for a fixed object on a sphere. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1986, vyp. 1, 54-58, 134.
- Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential, multistage, noncooperative and hierarchical games, 26-41, 139, Kalinin. Gos. Univ., Kalinin, 1985. (Reviewer: Claudia Simionescu-Badea)
- Petrosjan L. A., Zenkevich N.A. Dynamic models of search under conditions of conflict. (Russian) Control of dynamical systems, 97-108, 204, Voprosy Mekh. Protsess. Upravl., 7, Leningrad. Univ., Leningrad, 1984.
- Petrosjan L. A. Simultaneous search game and random distribution of points on a plane. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1985, vyp. 1, 31-35, 121.
- Petrosjan L. A., Imbert Kh. T. On the determination of the characteristic function of a treelike hierarchical game. (Russian) Hierarchical, multistage, differential games and their applications, 68-73, 139, Kalinin. Gos. Univ., Kalinin, 1984.
- {Upravlenie dinamicheskimi sistemami}. (Russian) [Control of dynamical systems] Edited by V. I. Zubov and L. A. Petrosjan. {Voprosy Mekhaniki i Protsessov Upravleniya} [Questions of Mechanics and Control Processes], 7. Leningrad. Univ., Leningrad, 1984. 208 pp.
- Petrosjan L. A., Danilov, N. N. A game theoretic model for carrying out a joint project. Engrg. Cybernetics 22 (1984), no. 3, 66-71 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, no. 2,84-90, 204 (Russian)
- Petrosjan L. A. Differential games. Current state and problems. (Russian) Multistep, differential, noncooperative and cooperative games, 26-31, Kalinin. Gos. Univ., Kalinin, 1983.
- Petrosjan L. A., Zakharov V. V. Dynamic game-theoretic model of regional development. (Russian) Multistep, differential, noncooperative and cooperative games, 31-39, Kalinin. Gos. Univ., Kalinin, 1983.
- Petrosjan L. A. Mathematical models of a controllable ecological equilibrium. (Russian) Mathematical methods of optimization and control in complex systems, 78-86, Kalinin. Gos. Univ., Kalinin, 1983. (Reviewer: K. Smitalova)
- Petrosjan L. A. New directions in differential game theory. (Russian) Game theory and its applications, 3-22, Kemer. Gos. Univ., Kemerovo, 1983.
- {Teoriya igr i ee prilozheniya}. (Russian) [Game theory and its applications] Edited by L. A. Petrosjan. Kemer. Gos. Univ., Kemerovo, 1983. 153 pp.
- Petrosjan L. A., Tomskiui G. V. {Geometriya prostogo presledovaniya}. (Russian) [Geometry of simple pursuit] ``Nauka Sibirsk. Otdel., Novosibirsk, 1983. 143 pp. (Reviewer: E. G. Alcprime brekht)
- Petrosjan L. A., Tomskiy G. V. Dynamic games. Engrg. Cybernetics 21 (1983), no. 2, 24-38 (1984); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1983, no. 2,33-50 (Russian)
- Petrosjan L. A. Differential search games. Reduction to dynamic games with complete information. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1983, vyp. 2, 26-30.
- Petrosjan L. A., Shiryaev V. D. Simple pursuit by one pursuer of two pursued. (Russian) Some questions of differential and integral equations and their applications, No. 3, 103-108, Yakutsk. Gos. Univ., Yakutsk, 1978.
- Petrosjan L. A., Tomskiu i G. V. Dynamic games with complete information and their applications to games with incomplete information. (Russian) Differentsialcprime nye Uravneniya 18 (1982), no. 4, 593-599, 732.
- Petrosjan L. A., Tomskiui G. V. {Dinamicheskie igry i ikh prilozheniya}. (Russian) [Dynamic games and their applications] Leningrad. Univ., Leningrad, 1982. 252 pp. (Reviewer: O. A. Malafeev)
- Imbert T. Josue, Petrosjan L. A. Applications to economics of the theory of $n$-person games. (Spanish) Investigacion Oper. No. 28 (1979), 3-29 (loose errata).
- Petrosjan L.A. Solutions of $n$-person differential games. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 32-36, 83.
- Petrosjan L. A., Ulanov V. A. Dynamic games with an infinite number of players. Basic constructions. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1982, vyp. 2, 69-75, 126. (Reviewer: F. Szidarovszky)
- Petrosjan L. A., Slobodinskaya, T. V. Functional equations for a differential game with incomplete information. (Russian) Methods of mathematical analysis of controlled processes, pp. 183-197, 281, Voprosy Mekh. Protsess. Upravl., 4, Leningrad. Univ., Leningrad, 1981. (Reviewer: J. M. Skowro'nski)
- Petrosjan L.A., Imbert H. Some game-theoretic models of the functioning of rhombus-shaped structures. (Russian) Mat. Metody v Sotsial. Nauk.--Trudy Sem. Protsessy Optimal. Upravleniya II Sektsiya No. 13 (1980), 37-47, 83.
- Petrosjan L. A. Game-theoretic analysis of hierarchical control systems. (Russian) Sixth Conference on Mathematical Methods in Economics (Vitte, 1980) (German), pp. 42-45, Seminarberichte, 29, Humboldt Univ., Berlin, 1980.
- Petrosian L. A., Imbert J. E. A game-theoretic model with rhomboidal control structure. (Spanish) Investigacion Oper. 1 (1980), no. 1, 3-20.
- Petrosjan L. A., Zaharov V. V. A game-theoretic approach to the problem of protection of the environment. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1981, vyp. 1, 26-32, 119-120. 92A17
- Petrosjan L. A., Sirjaev V. D. Group pursuit game with several evaders and one pursuer. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1980, vyp. 3, 50-57, 130.
- Petrosjan L. A., Danilov N. N. Stability of the solutions in nonantagonistic differential games with transferable payoffs. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1979, vyp. 1, 52-59, 134. (Reviewer: A. B. Kurzhanskiui)
Tyvsko N. M., Petrosjan L. A. Mathematical model for a tree-like hierarchical control structure. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 160-171, 191, Yakutcydot sk. Gos. Univ., Yakutsk, 1977.
- Tihonova I. F., Petuhova, N. V., Petrosjan L. A. A hierarchical model of planning industrial production. (Russian) Some questions of differential and integral equations and their applications, No. 2 (Russian), pp. 86-98, 190, Yakutcydot sk. Gos. Univ., Yakutsk, 1977.
- Slobodinskaja T. V., Petrosjan L. A. Antagonistic pursuit game with several participants and incomplete information. (Russian) Control of dynamical systems (Russian), pp. 195-213, 320, Leningrad. Univ., Leningrad, 1978.
- Petrosjan L. A. Nonantagonistic differential games. (Russian) Control of dynamical systems (Russian), pp. 173-181, 319, Leningrad. Univ., Leningrad, 1978.
- Zenkevich N. A., Petrosjan L. A. Differential games with discrete progression of information receiving by one of the players. (Russian) Control of dynamical systems (Russian), pp. 78-90, 314, Leningrad. Univ., Leningrad, 1978.
- Petrosjan L. A. Differential pursuit-evasion games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1972), 47-54, 146.
- Petrosjan L. A. Stability of the solutions in differential games with several players. (Russian) Vestnik Leningrad. Univ. 1977, no. 19 Mat. Mat. Meh. Astronom. vyp. 4, 46-52, 147. (Reviewer: Milan Medved)
- Petrosjan L. A. {Differentsialcprime nye igry presledovaniya.} (Russian) [Differential pursuit games] Izdat. Leningrad. Univ., Leningrad. 1977. 222 pp. (Reviewer: V. Komkov)
- Cistjakov S. V., Petrosjan L. A. An approach to the solution of pursuit games. (Russian) Vestnik Leningrad. Univ. 1977, no. 1 Mat. Meh. Astronom. vyp. 1, 77-82, 166. (Reviewer: E. G. Albreht)
- Slobodinskaja, T. V. Petrosjan L. A. Simultaneous pursuit games. (Russian) Mat. Metody v Social. Nauk.-Trudy Sem. Processy Optimal. Upravlenija II Sekcija Vyp. 5 (1975), 23-36. {Teoriya igr.} (Russian) [Game theory] First All-Union Conference on Game Theory, held in Erevan, November, 1968. Edited by N. N. Vorobcprime ev, A. A. Korbut, L. A. Petrosjan and E. B. Janovskaja. Izdat. Akad. Nauk Armjan. SSR, Erevan, 1973. 368 pp. (errata insert).
- Petrosjan L. A. A pursuit game with fixed duration and with delay of information for both players. (Russian) Current trends in game theory (Russian), pp. 109-114. Izdat. "Mokslas", Vilnius, 1976. (Reviewer: G. Zatiasvili)
Beleevskiui M. M., Petrosjan L. A. The structure of an optimal strategy for the evader in a time-optimal pursuit game. (Russian) Vestnik Leningrad. Univ. No. 7 Mat. Meh. Astronom. Vyp. 2 (1975), 10-15, 169. (Reviewer: R. Petrovic) Beleevskiui M. M., Petrosjan L. A. Structure of the optimal strategy of the evader in a certain class of differential pursuit games. (Russian) Vestnik Leningrad. Univ. No. 19 Mat. Meh. Astronom. Vyp. 4 (1974), 5-12, 169. (Reviewer: R. Petrovic)
- Petrosjan L. A. Pursuit games with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 227-233. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. A certain pursuit game with incomplete information. (Russian) Advances in game theory (Proc. Second All-Union Conf., Vilnius, 1971) (Russian), pp. 223-226. Izdat. "Mintis", Vilnius, 1973. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. Erratum: "Differential games with complete information" (Problemy Kibernet. No. 27 (1973), 267-277). (Russian) Problemy Kibernet. No. 28 (1974), 280.
- Petrosjan L. A. Pursuit games with information lag for player $P$. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 8 (1973), no. 2, 93-101, 177. (Reviewer: O. Hajek)
- Petrosjan L. A. Differential games with complete information. (Russian) A collection consisting mainly of papers presented at the Second All-Union Conference on Problems of Theoretical Cybernetics (Novosibirsk, 1971). Problemy Kibernet. No. 27 (1973), 267-277, 295. (Reviewer: G. Zatiasvili)
- Malafeev O. A., Petrosjan L. A. A simple pursuit game in the plane with an obstacle. (Russian) Control systems, No. 9 (Russian), pp. 31-42. Inst. Mat. Inst. Kataliza Sibirsk. Otdel. Akad. Nauk SSSR, Novosibirsk, 1971. (Reviewer: R. Petrovic)
- Petrosjan L. A. Topological games and their applications to pursuit problems. I. SIAM J. Control 10 (1972), 194-202. (Reviewer: J. H. Case)
- Petrosjan L. A. Games with a "life-line". The case of $l$-capture. SIAM J. Control 10 (1972), 40-47.
- Petrosjan L. A. Generalized solutions of differential games of survival. (Russian) Ekonom. i Mat. Metody 3 1967 420-425. (Reviewer: Author's review)
- Petrosjan L. A. Differential games with incomplete information. (Russian) Dokl. Akad. Nauk SSSR 195 1970 558-561. (Reviewer: F. M. Kirillova)
- Petrosjan L. A. Invariant center of pursuit in a certain class of nonlinear differential games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 4-5, 397-403. (Reviewer: A. Friedman)
- Petrosjan L. A. Topological games and their applications to pursuit problems. I. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 19, 55-63. (Reviewer: A. Friedman)
- Petrosjan L.A., Kuzutin T.I. Games in Extensive Form: Optimality and Stability. St.Petersburg: St.Petersburg state university, 2000, 290 p.
- Dutkeviv C., Ju. G., Petrosjan L. A. Games "with life line". The case of $1$-capture. (Russian) Vestnik Leningrad. Univ. 24 1969 no. 13, 31-38. (Reviewer: Z. Vorel)
- Petrosjan L. A. A certain class of quality games. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 3 1968 no. 3, 249-256. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A. Differentialspiele und Verfolgungsprobleme. (German) Wiss. Z. Techn. Univ. Dresden 17 1968 761-766.
- Petrosjan L. A. Differential games with independent movements. (Russian) Litovsk. Mat. Sb. 8 1968 127-136. (Reviewer: J. M. Skowro'nski)
- Souihet B. A., Petrosjan L. A. A set-theoretic approach to pursuit games. (Russian) Litovsk. Mat. Sb. 8 1968 371-380. (Reviewer: J. R. Isbell)
- Petrosjan L. A. Pursuit games "with life line". (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 76-85. (Reviewer: J. M. Skowro'nski)
- Petrosjan L. A. The applicability of Isaacs' technique of solution "in the small" to the solution "in the small" of certain pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 7, 66-70. (Reviewer: P. Sagirow)
- Petrosjan L. A. A certain invariant in differential pursuit games. (Russian) Vestnik Leningrad. Univ. 23 1968 no. 1, 42-51. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov, N. V. The $n$-person tug of war game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 13, 125-129. (Reviewer: L. W. Neustadt)
- Petrosjan L. A. Another generalization of Kuhn's theorem. (Russian) 1967 Theory of games: Positional games (Russian) pp. 230-245 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)
- Petrosjan L. A. A certain mapping in a family of differential pursuit games. (Russian) Dokl. Akad. Nauk SSSR 178 1968 34-37. (Reviewer: P. Sagirow)
- Petrosjan L. A. Signalling strategies and behavior strategies in a class of infinite positional games. (Russian) 1967 Theory of games: Positional games (Russian) pp. 221-229 Izdat. "Nauka", Moscow (Reviewer: J. R. Isbell)
- Petrosjan L. A. Dynamic pursuit game in the presence of friction forces. (Russian) Akad. Nauk Armjan. SSR Dokl. 44 1967 no. 1, 3-7. (Reviewer: P. Sagirow)
- Petrosjan L. A. "Life-line" pursuit games with several players. (Russian) Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1 1966 no. 5, 331-340. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A. Dispersal surfaces in a family of pursuit games. (Russian) Akad. Nauk Armjan. SSR Dokl. 43 1966 no. 4, 193-197. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov N. V. Dynamical pursuit game. (Russian) Dokl. Akad. Nauk SSSR 172 1967 1270-1272. (Reviewer: L. D. Berkovitz)
- Petrosjan L. A., Murzov N. V. Game-theoretic problems of mechanics. (Russian) Litovsk. Mat. Sb. 6 1966 423-433. (Reviewer: L. D. Berkovitz)
- Murzov N. V., Petrosjan L. A. Pulling-over differential game. (Russian) Vestnik Leningrad. Univ. 22 1967 no. 1, 106-112. (Reviewer: Z. Vorel)
- Petrosjan L. A. A game of pursuit on a half-plane. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 265-269. (Reviewer: A. Dvoretzky)
- Petrosjan L. A. On the reduction of the solution of a game of pursuit for survival to the solution of a Cauchy problem for a first-order partial differential equation. (Russian) Akad. Nauk Armjan. SSR Dokl. 40 1965 193-196. (Reviewer: D. A. Lee)
- Petrosjan L. A. Differential survival games with several players. (Russian) Dokl. Akad. Nauk SSSR 161 1965 285-287. (Reviewer: G. N. Raney)
- Petrosjan L. A. A family of differential survival games in the space $Rsp{n}$. (Russian) Dokl. Akad. Nauk SSSR 161 1965 52-54. (Reviewer: G. N. Raney)
- Petrosyan L. A., Kusyutin, D. V. On the stability of $epsilon$-equilibrium in the class of mixed strategies. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 3, 46-50 (1996).
- Petrosjan L. A. Characteristic functions of cooperative differential games. Vestnik St. Petersburg Univ. Math. 28 (1995), no. 1, 38-42.
- Petrosjan L. A. Strongly time-consistent differential optimality principles. Vestnik St. Petersburg Univ. Math. 26 (1993), no. 4, 40-46.
- Petrosjan L. A. Determining evolutionarily stable strategies in dynamic games. Vestnik St. Petersburg Univ. Math. 29 (1996), no. 1, 55-60.
- Petrosjan L. A. Refinement of the Nash solution for games with perfect information. Advances in dynamic games and applications (Kanagawa, 1996), 269-277, Ann. Internat. Soc. Dynam. Games, 5, Birkhauser Boston, Boston, MA, 2000.
- Petrosjan L. A. Electing the directorial council. Dynamics and control (Sopron, 1995), 187-194, Stability Control Theory Methods Appl., 9, Gordon and Breach, Amsterdam, 1999.
- Petrosjan L. A. Time consistency of cooperative solutions in dynamic games. Nonlinear analysis and convex analysis (Niigata, 1998), 61-64, World Sci. Publishing, River Edge, NJ, 1999.
- Petrosjan L. A. Simple search games in a plane. (Russian) Investigations in the geometry of simple pursuit (Russian), 73-82, Yakutcydot sk. Gos. Univ., Yakutsk, 1991.
- Petrosjan L. A. Agreeable solutions in differential games. Game theory and applications, III, 91-103, Nova Sci. Publ., Commack, NY, 1997.
- Gauthier B., Petrosjan L. A. A game-theoretic model of the decision-making process within international economic organizations. Nova J. Math. Game Theory Algebra 6 (1996), no. 1, 15-25.
- Petrosjan L. A. Strongly time consistent optimality principles for the game with discount payoffs. System modelling and optimization (Compiegne, 1993), 513-520, Lecture Notes in Control and Inform. Sci., 197, Springer, London, 1994.
- Petrosjan L. A. The time consistency (dynamic stability) in differential games with a discount factor. Internat. Year-Book Game Theory Appl. 1 (1993), 47-53.
- Petrosjan L. A. Multicriterial dynamic optimization. Conference on Differential Equations and Applications (Ruse, 1989), 381-387, Tech. Univ., Ruse, 1991.
- Petrosjan L. A. On a search problem. (Russian) Problems in optimal control and operations research (Russian), 136-139, 199, Irkutcydot sk. Gos. Univ., Irkutsk, 1988.
- Petrosjan L. A. Games with dependent strategy sets. (Russian) Mathematical methods in the theory of computer-aided design systems, robots and systems (Russian), 26-31, Kalinin. Gos. Univ., Kalinin, 1988.
- Petrosjan L. A. Dynamic and strong dynamic stability of optimal decisions. VII Conference on Applied Mathematics (Osijek, 1989), 179-184, Univ. Osijek, Osijek, 1990.
- Petrosjan L. A. Mathematical-ecological models and hierarchical games. (Russian) Mathematical models for the rational use of the environment (Russian), 76-86, 142, "Nauka" Sibirsk. Otdel., Novosibirsk, 1989.
- Petrosjan L. A. Mixed strategies in differential games with incomplete information. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 317-320, `Angel Kanchev' Tech. Univ., Ruse, 1987.
- Petrosjan L.A.,Zaccour G. A Multistage supergame of downstream pollution. Advances in Dynamic Games and Applications, vol.5, 1999.
- Petrosjan L.A. Refinement of the Nash solution for games with perfect information.Advances in Dynamic Games and Applications, vol.5, 1999.
- Petrosjan L.A., Filar Dynamic cooperative games, International Game Theory Review, vol.2, N1, 2000.
- Petrosjan L.A., Villiger R. Time-consistent agreeable solurions in envirinment pollution game. Proceedings of the IFAC SME 2001 Conference, Klagenfurt, 2001.
- Petrosjan L.A. Electing of the directorial councel. Stability and Control, Methods and Applications, Vol. 9 Gordon and Breach Sci Pbl. 1999.
- Petrosjan L.A.,Ayoshin D. Values of dynamic games with partial cooperation, Papers of the institute of mathematics and mechanics,USC RAS, 1999 (in russian)
- Petrosjan L.A. Shevkoplyas E.V. Cooperative games with random duration, Viestnik of St.Petersburg Univ., ser.1,vol.4,2000
- Petrosjan L.A., Yeung D.W.K. Cooperative differential ames with uncertain payoffs. Viestnik of St.Petersburg Univ.,Vol.3, 2000. (in russian)
- Petrosjan L.A.,J.Puerto Folk theorems in multicriterial repeated games. Sociedad de Statistica e Investigation Operativa, Vol.10, N2, 2002.
- Petrosjan.L.A. Cooperative stochastic games. Proceedings of the 10th International Symposium on Dynamic Games and Applications, Vol.2.,2002
- Petrosjan L.A., Grauer L.V. Strong Nash equilibrium in multistage games. International Game Theory Review, 4(3) 2002.
- Petrosjan L.A., Grauer L.V. New class of solutions in multistege games with applications to "prisoners dilemma", Game Theory and Applications, Vol.8. 2002.
- Petrosjan L.A., Zaccour G. Time-consistent Shapley value allocation of pollution cost reduction. Journal of Economics and Control, 27, 2003.
Достижения
- доктор физико-математических наук
- профессор
В 1994 и 1997 годах ему присуждалась Государственная научная стипендия.
Изображения
Библиография
- http://www.apmath.spbu.ru/ru/staff/petrosjan/
- Кафедра математической теории игр и статистических решений [1]
- E-mail: lapetr@apmath.spbu.ru
