Existence of Stationary Correlated Equilibria with Symmetric Information for Discounted Stochastic Games

Abstract

The following theorem is proved: Every nonzero-sum discounted stochastic game in countably generated measurable state space with compact metric action spaces admits a stationary correlated equilibrium point with symmetric (public) information whenever the immediate rewards and transition densities are measurable with respect to the state variable and continuous with respect to joint actions.

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