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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2013 Volume 5, Issue 1, Pages 55–62 (Mi vyurm49)

Mathematics

Extreme strategies in game-theory problems for linear integral differential Volterra systems, II

V. L. Pasikov

Orsk Humanist and Technological Institute (Branch of Orenburg State University)

Abstract: The problems of guidance as well as game situation of $m$ individuals in case of composed functions balance (a distance) in terms of Nash theory are studied. To solve these problems a familiar extreme construction by an academician N. N. Krasovsky, modified for the considered situations, is used.

Keywords: game-theory problem, integral differential system, control action, game positions, pro­gram maximin, balance in terms of Nash theory.

UDC: 517.977

Received: 15.04.2012



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