Authors: Lozovanu Dmitrii
Abstract
We study the problem of the existence of stationary Nash
equilibria in infinite $n$-person stochastic games with limiting
average payoff criteria for the players. The state and action
spaces in the games are assumed to be finite. We present some
results for the existence of stationary Nash equilibria in a
multichain average stochastic game with $n$ players. Based on
constructive proof of these results we propose an approach for
determining the optimal stationary strategies of the players in the
case when stationary Nash equilibria in the game exist.
Institute of Mathematics and Computer Science
5 Academiei str., Chisinau, MD−2028
Moldova
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