English

On the computational complexity of solving stochastic mean-payoff games

Computer Science and Game Theory 2008-12-03 v1

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.

Keywords

Cite

@article{arxiv.0812.0486,
  title  = {On the computational complexity of solving stochastic mean-payoff games},
  author = {Vladimir Gurvich and Peter Bro Miltersen},
  journal= {arXiv preprint arXiv:0812.0486},
  year   = {2008}
}

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R2 v1 2026-06-21T11:47:30.985Z