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- Purification_theorem abstract "In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973. The theorem aims to justify a puzzling aspect of mixed strategy Nash equilibria: that each player is wholly indifferent amongst each of the actions he puts non-zero weight on, yet he mixes them so as to make every other player also indifferent.The mixed strategy equilibria are explained as being the limit of pure strategy equilibria for a disturbed game of incomplete information in which the payoffs of each player are known to themselves but not their opponents. The idea is that the predicted mixed strategy of the original game emerge as ever improving approximations of a game that is not observed by the theorist who designed the original, idealized game. The apparently mixed nature of the strategy is actually just the result of each player playing a pure strategy with threshold values that depend on the ex-ante distribution over the continuum of payoffs that a player can have. As that continuum shrinks to zero, the players strategies converge to the predicted Nash equilibria of the original, unperturbed, complete information game.The result is also an important aspect of modern day inquiries in evolutionary game theory where the perturbed values are interpreted as distributions over types of players randomly paired in a population to play games.".
- Purification_theorem wikiPageID "4929452".
- Purification_theorem wikiPageRevisionID "568474440".
- Purification_theorem 1d "D".
- Purification_theorem 1u "C".
- Purification_theorem 2l "C".
- Purification_theorem 2r "D".
- Purification_theorem dl "42".
- Purification_theorem dr "0".
- Purification_theorem hasPhotoCollection Purification_theorem.
- Purification_theorem name "Fig. 1: a Hawk-Dove game".
- Purification_theorem ul "33".
- Purification_theorem ur "24".
- Purification_theorem subject Category:Game_theory.
- Purification_theorem comment "In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973.".
- Purification_theorem label "Purification theorem".
- Purification_theorem label "純化定理".
- Purification_theorem sameAs 純化定理.
- Purification_theorem sameAs m.0cvnmc.
- Purification_theorem sameAs Q5313424.
- Purification_theorem sameAs Q5313424.
- Purification_theorem wasDerivedFrom Purification_theorem?oldid=568474440.
- Purification_theorem isPrimaryTopicOf Purification_theorem.