Abstract : This paper is the first step in the proof of existence of equilibrium payoffs for two-player stochastic games with finite state and action sets. It reduces the existence problem to the class of so-called positive absorbing recursive games. The existence problem for this class is solved in a subsequent paper.
Nicolas Vieille. Two-player stochastic games I: A reduction. Israël Journal of Mathematics, Hebrew University Magnes Press, 2000, Vol.119,n°1, pp.55-91. ⟨10.1007/BF02810663⟩. ⟨hal-00481401⟩