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Equilibria, Bargaining and Cooperative Games

This group gathers the core theorems and models of game theory about how rational players act. It covers the Nash equilibrium, in which no player gains by changing strategy alone, Kuhn's theorem on extensive-form games, Harsanyi's purification theorem on mixed strategies, the Bondareva-Shapley theorem on when a cooperative game has a stable core, the Rubinstein model of alternating-offer bargaining, the Bishop-Cannings theorem of evolutionary game theory, and the Sprague-Grundy theorem of combinatorial game theory.

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Equilibria, Bargaining and Cooperative Games
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Wikipedia: Minimax Theorem
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In the mathematical area of game theory and of convex optimization, a minimax theorem is a theorem
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Zermelo's Theorem (Game Theory) (Wikipedia)
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In game theory, Zermelo's theorem is a theorem about finite two-person games of perfect information in which the players move alternately and in which chance does not affect the decision making process.
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Cooperative bargaining (Wikipedia)
Has Member: Nash's Bargaining Theorem, Article text
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Cooperative bargaining is a process in which two people decide how to share a surplus that they can jointly generate.
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Nash equilibrium (Wikipedia)
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In game theory, a Nash equilibrium is a situation where no player could gain more by changing their own strategy (holding all other players' strategies fixed) in a game.
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Kuhn's theorem (Wikipedia)
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In game theory, Kuhn's theorem is a foundational result in the analysis of extensive-form games, first formalized by American mathematician Harold W.
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Purification theorem - Wikipedia
Has Member: Harsanyi's Purification Theorem, Lead paragraph
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In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973.
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Bondareva-Shapley theorem - Wikipedia
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The Bondareva-Shapley theorem, in game theory, describes a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form.
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Rubinstein bargaining model (Wikipedia)
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Rubinstein bargaining model refers to a class of bargaining games in game theory featuring alternating offers between two players over an infinite time horizon.
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Bishop-Cannings theorem (Wikipedia)
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The Bishop-Cannings theorem is a theorem in evolutionary game theory.
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Sprague-Grundy Theorem (Wikipedia)
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In combinatorial game theory, the Sprague-Grundy theorem states that every impartial game under the normal play convention is equivalent to a one-heap game of nim, or to an infinite generalization of nim.
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