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Part of the book series: Applications of Mathematics ((SMAP,volume 32))

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Abstract

Imagine two players engaged in a competition that consists of a sequence of games. Play begins at some initial state X 0 = x and at every stage n the players select actions which determine the conditional distribution of the next state X n+1. The object of one player is to maximize a given payoff g(X 0,X 1,…) while the other player seeks to minimize the same quantity.

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© 1996 Springer-Verlag New York, Inc.

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Maitra, A.P., Sudderth, W.D. (1996). Stochastic Games. In: Discrete Gambling and Stochastic Games. Applications of Mathematics, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4002-0_7

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  • DOI: https://doi.org/10.1007/978-1-4612-4002-0_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8467-3

  • Online ISBN: 978-1-4612-4002-0

  • eBook Packages: Springer Book Archive

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