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].
@article{bwmeta1.element.bwnjournal-article-zmv26i2p221bwm,
author = {Andrzej Nowak},
title = {On approximations of nonzero-sum uniformly continuous ergodic stochastic games},
journal = {Applicationes Mathematicae},
volume = {26},
year = {1999},
pages = {221-228},
zbl = {1050.91009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv26i2p221bwm}
}
Nowak, Andrzej. On approximations of nonzero-sum uniformly continuous ergodic stochastic games. Applicationes Mathematicae, Tome 26 (1999) pp. 221-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv26i2p221bwm/
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