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arXiv · 0812.0486

On the computational complexity of solving stochastic mean-payoff games

Vladimir Gurvich·Peter Bro Miltersen
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Abstract

We consider some well-known families of two-player, zero-sum, perfect information games that can be viewed as special cases of Shapley's stochastic games. We show that the following tasks are polynomial time equivalent: - Solving simple stochastic games. - Solving stochastic mean-payoff games with rewards and probabilities given in unary. - Solving stochastic mean-payoff games with rewards and probabilities given in binary.

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Vladimir Gurvich, Peter Bro Miltersen. 2008-12-02. On the computational complexity of solving stochastic mean-payoff games. https://arxiv.org/abs/0812.0486

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