Geodesic
On approximations of nonzero-sum uniformly continuous ergodic stochastic games
Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 221-228

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a class of uniformly ergodic nonzero-sum stochastic games with the expected average payoff criterion, a separable metric state space and compact metric action spaces. We assume that the payoff and transition probability functions are uniformly continuous. Our aim is to prove the existence of stationary ε-equilibria for that class of ergodic stochastic games. This theorem extends to a much wider class of stochastic games a result proven recently by Bielecki [2].
DOI : 10.4064/am-26-2-221-228
Keywords: Nash equilibrium, general state space, nonzero-sum Markov game, long run average reward criterion

Andrzej Nowak 1

1 
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Andrzej Nowak. On approximations of nonzero-sum uniformly continuous ergodic stochastic games. Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 221-228. doi: 10.4064/am-26-2-221-228

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