Abstract
We consider game problems in which the payoff is some function of the terminal state of a conflict-controlled system. We state sufficient conditions for the existence of optimal minimax and maximin strategies of the players. We show that optimal strategies exist if the corresponding Bellman equation has a solution. We consider the question of the existence of optimal strategies both in the class of deterministic as well as in the class of mixed strategies. The reasoning presented is based on the results in [1, 2]. The questions considered border on the investigations presented in [2–5].
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