A Saddle Point in a Differential Game on an Unbounded Time Interval

N. B. Melnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An example of a positional differential game with integral payoff on a half-line is considered. The existence of a saddle point of the game is proved. The value function and optimal strategies are presented.

UDC: 517.9

Received in October 2000

 English version: Proceedings of the Steklov Institute of Mathematics, 2002, 236, 218–221

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