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Russia Yekaterinburg
Section Mathematics
Title On numerical solution of differential games with nonterminal payoff in classes of mixed strategies
Author(-s) Kornev D.V.a, Lukoyanov N.Yu.b
Affiliations Ural Federal Universitya, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciencesb
Abstract A zero-sum linear-convex differential game with a quality index that estimates a set of deviations of a motion trajectory at given instants of time from given target points is considered. A case when the saddle point condition in a small game, also known as Isaac's condition, does not hold, is studied. The game is formalized in classes of mixed control strategies of players. A numerical method for approximate computation of the game value and optimal strategies is elaborated. The method is based on the recurrent construction of upper convex hulls of auxiliary program functions. The results of numerical experiments in model examples are given.
Keywords differential games, game value, saddle point, mixed stategies
UDC 517.977
MSC 49N70
DOI 10.20537/vm130304
Received 22 July 2013
Language Russian
Citation Kornev D.V., Lukoyanov N.Yu. On numerical solution of differential games with nonterminal payoff in classes of mixed strategies, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 3, pp. 34-48.
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