Nash Equilibria in Mixed Stationary Strategies for m-Player Mean Payoff Games on Networks
Abstract
We consider a class of non-zero-sum mean payoff games on networks that extends the two-player zero-sum mean payoff game introduced by Ehrenfeucht and Mycielski. We show that for the considered class of games there exist Nash equilibria in mixed stationary strategies and propose an approach for determining the optimal strategies of the players.
Keywords:
mean payoff game, pure stationary strategy, mixed stationary strategy, Nash equilibria
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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.