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Purification theorem

In game theory, the purification theorem was contributed by Nobel laureate John Harsanyi in 1973. The theorem justifies a puzzling aspect of mixed strategy Nash equilibria: each player is wholly indifferent between each of the actions he puts non-zero weight on, yet he mixes them so as to make every other player also indifferent.

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Purification theorem

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game strategy mixed player equilibria information players theorem pure payoffs cooperate games strategies nash also incomplete result continuum equilibrium probability

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