On canonical forms for zero-sum stochastic mean payoff games (Q367425)
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scientific article; zbMATH DE number 6208306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On canonical forms for zero-sum stochastic mean payoff games |
scientific article; zbMATH DE number 6208306 |
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On canonical forms for zero-sum stochastic mean payoff games (English)
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16 September 2013
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This paper deals with a stochastic (finite) zero-sum game. By the so-called potential transformation the game is put into a canonical form, in which locally optimal strategies are globally optimal. The objective is to provide conditions that guarantee such a transformation. It is shown that they are satisfied for AT-games. Moreover, the existence of a canonical form is derived independently for special classes of games, namely PI-games, ARAT-games, SC-games. This fact entails some algorithmic consequences.
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stochastic game
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zero-sum game
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mean-payoff game
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saddle-point
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uniformly optimal strategy
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