Abstract : The purpose of this note is to apply results from the theory of Markov chains with rare transitions to stochastic games. The results obtained here are used in the proof of existence of equilibrium payoffs in two-player stochastic games.
Nicolas Vieille. Small perturbations and stochastic games. Israël Journal of Mathematics, Hebrew University Magnes Press, 2000, Vol.119,n°1, pp.127-142. ⟨10.1007/BF02810665⟩. ⟨hal-00481409⟩