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NON-ANTAGONISTIC DIFFERENTIAL GAMES WITH VARIOUS BEHAVIOR TYPES

Annotation

Extreme types of interaction of players such as: normal, altruistic, aggressive are considered in non-antagonistic two-person positional differential game. The assumption that during the game the players can switch the behavior from one type to another leads to new solutions of problem. Example game with phase constraints is considered in which the use altruistic behavior of one of the players during a certain period of time eventually leads to an increase in both players’ winnings.

Keywords

non-antagonistic positional differential game; terminal cost functionals; phase constraints; players’ behavior types; Nash solution

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UDC

517.977.1

Pages

1206-1209

References

1. Красовский Н.Н., Субботин А.И. Позиционные дифференциальные игры. М.: Наука, 1974. 2. Красовский Н.Н. Управление динамической системой. М.: Наука, 1985. 3. Клейменов А.Ф. Неантагонистические поzitsionnye differentsial'nye igry. Ekaterinburg: Nauka, 1993. 4. Kleymenov A.F. O resheniyakh v neantagonisticheskoy pozitsionnoy differentsial'noy igre // Prikladnaya matematika i mekhanika. 1997. T. 61. Vyp. 5. S. 739-746. 5. Kleimenov, A.F., Kryazhimskii A.V. Normal Behavior, Altruism and Aggression in Cooperative Game Dynamics, Interim Report IR-98-076, Laxenburg: IIASA, 1998. 47 p. 6. Kleimenov, A.F. An Approach to Building Dynamics for Repeated Bimatrix 2×2 Games Involving Various Behavior Types // In: Dynamic and Control, (Leitman G., ed), London: Gordon and Breach, 1998. R. 195-204.

Received

2015-05-29

Section of issue

Scientific articles

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