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.
Browse By
Equilibria, Bargaining and Cooperative Games
Filter Results10 entries
Sources
Wikipedia: Minimax Theorem
Wikimedia FoundationHas Member: Minimax Theorem, LeadQuote, Has Member: Minimax Theorem, Lead
In the mathematical area of game theory and of convex optimization, a minimax theorem is a theorem
View the Source Zermelo's Theorem (Game Theory) (Wikipedia)
Wikimedia FoundationHas Member: Zermelo's Theorem (Game Theory), Article textQuote, Has Member: Zermelo's Theorem (Game Theory), Article text
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.
View the Source Cooperative bargaining (Wikipedia)
Has Member: Nash's Bargaining Theorem, Article textQuote, Has Member: Nash's Bargaining Theorem, Article text
Cooperative bargaining is a process in which two people decide how to share a surplus that they can jointly generate.
View the Source Nash equilibrium (Wikipedia)
Has Member: Nash Equilibrium, Lead paragraphQuote, Has Member: Nash Equilibrium, Lead paragraph
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.
View the Source Kuhn's theorem (Wikipedia)
Has Member: Kuhn's Theorem, Lead paragraphQuote, Has Member: Kuhn's Theorem, Lead paragraph
In game theory, Kuhn's theorem is a foundational result in the analysis of extensive-form games, first formalized by American mathematician Harold W.
View the Source Purification theorem - Wikipedia
Has Member: Harsanyi's Purification Theorem, Lead paragraphQuote, Has Member: Harsanyi's Purification Theorem, Lead paragraph
In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973.
View the Source Bondareva-Shapley theorem - Wikipedia
Has Member: Bondareva-Shapley Theorem, Lead paragraphQuote, Has Member: Bondareva-Shapley Theorem, Lead paragraph
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.
View the Source Rubinstein bargaining model (Wikipedia)
Has Member: Rubinstein Bargaining Model, Lead paragraphQuote, Has Member: Rubinstein Bargaining Model, Lead paragraph
Rubinstein bargaining model refers to a class of bargaining games in game theory featuring alternating offers between two players over an infinite time horizon.
View the Source Bishop-Cannings theorem (Wikipedia)
Has Member: Bishop-Cannings Theorem, Lead paragraphQuote, Has Member: Bishop-Cannings Theorem, Lead paragraph
The Bishop-Cannings theorem is a theorem in evolutionary game theory.
View the Source Sprague-Grundy Theorem (Wikipedia)
Wikimedia FoundationHas Member: Sprague-Grundy Theorem, Lead paragraphQuote, Has Member: Sprague-Grundy Theorem, Lead paragraph
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.
View the Source Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.