Abstract
For an n-person stochastic game with Borel state space S and compact metric action sets A1, A2,…, An, sufficient conditions are given for the existence of subgame-perfect equilibria. One result is that such equilibria exist if the law of motion q(⋯∣ s, a) is, for fixed s, continuous in a = (a1,a2,…,an) for the total variation norm and the payoff functions f1, f2,…,fn are bounded, Borel measurable functions of the sequence of states (s1, s2,…) ∈ Sℕ and, in addition, are continuous when Sℕ is given the product of discrete topologies on S.
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