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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Pages 919–927
DOI: https://doi.org/10.7868/S0044466914060180 (Mi zvmmf10045) 		 
Construction of control ensuring equilibrium conditions in a multistep two-person positional game

G. A. Zograbyan, V. Yu. Reshetov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914060180
Abstract: An analytical approach is suggested for finding a strategy in a conflict situation described by a linear control system. A modified dynamic programming method is examined as applied to a multistep differential game. The method is used to construct a Nash equilibrium solution.
Key words: differential game, Nash equilibrium, conflict situation, multistep game.
Received: 28.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 931–938
DOI: https://doi.org/10.1134/S0965542514060153
Bibliographic databases:
Document Type: Article
UDC: 519.626
MSC: 91A23 (49N70 91A24 93B50)
Language: Russian
Citation: G. A. Zograbyan, V. Yu. Reshetov, “Construction of control ensuring equilibrium conditions in a multistep two-person positional game”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 919–927; Comput. Math. Math. Phys., 54:6 (2014), 931–938
Citation in format AMSBIB
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