# Mixed Strategy

### Some articles on strategy, mixed strategy, mixed:

Strategy (game Theory) - Pure and Mixed Strategies
... A pure strategy provides a complete definition of how a player will play a game ... A player's strategy set is the set of pure strategies available to that player ... A mixed strategy is an assignment of a probability to each pure strategy ...
Stag Hunt - Formal Definition
... Formally, a stag hunt is a game with two pure strategy Nash equilibria - one that is risk dominant and another that is payoff dominant ... In addition to the pure strategy Nash equilibria there is one mixed strategy Nash equilibrium ... but the risk dominance condition places a bound on the mixed strategy Nash equilibrium ...
Purification Theorem
... 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 ... 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 ... 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 ...
Governing Dynamics - Stability
... A Nash equilibrium for a mixed strategy game is stable if a small change (specifically, an infinitesimal change) in probabilities for one player leads to a situation where two ... cases are both met, then a player with the small change in his mixed-strategy will return immediately to the Nash equilibrium ... The equilibria involving mixed-strategies with 100% probabilities are stable ...

### Famous quotes containing the words strategy and/or mixed:

That is the way of youth and life in general: that we do not understand the strategy until after the campaign is over.
Johann Wolfgang Von Goethe (1749–1832)

Mrs. Finney: Can’t we have some peace in this house, even on New Year’s Eve?
Sadie: You got it mixed up with Christmas. New Year’s Eve is when people go back to killing each other.
Joseph L. Mankiewicz (1909–1993)