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Abstract
A stochastic graph game is played by two players on a game graph with probabilistic transitions. We consider stochastic graph games with ω-regular winning conditions specified as parity objectives, and mean-payoff (or limit-average) objectives. These games lie in NP ∩ coNP. We present a polynomial-time Turing reduction of stochastic parity games to stochastic mean-payoff games.
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