Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure (Q883066)

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scientific article; zbMATH DE number 5159733
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Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure
scientific article; zbMATH DE number 5159733

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    Constructions of Nash equilibria in stochastic games of resource extraction with additive transition structure (English)
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    31 May 2007
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    This paper deals with a discounted \(N\)-person stochastic game of resource extraction. The main result concerns the existence of a nonrandomized Nash equilibrium in such a game with an infinite time horizon. The author also provides an algorithm for finding this solution. Namely, it turns out that here Nash equilibria obtained for games within a finite time horizon converge to the Nash equilibrium in a game with an infinite time horizon. Moreover, some interesting numerical examples are added.
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    Nash equilibrium
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    stochastic game
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    resource extraction game
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    economic application
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