The game-theoretical approach to Markov decision problems and determining Nash equilibria for stochastic positional games (Q545865)

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scientific article; zbMATH DE number 5912011
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The game-theoretical approach to Markov decision problems and determining Nash equilibria for stochastic positional games
scientific article; zbMATH DE number 5912011

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    The game-theoretical approach to Markov decision problems and determining Nash equilibria for stochastic positional games (English)
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    23 June 2011
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    Summary: A class of stochastic positional games which extend the cyclic games and Markov decision problems with average and discounted optimisation costs criteria is formulated and studied. Nash equilibria conditions for considered class of stochastic positional games are derived and some approaches for determining Nash equilibria are described.
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    Markov decision processes
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    non-cooperative games
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    stochastic positional games
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    Nash equilibria
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    optimal stationary strategies
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    cyclic games
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