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minimax theorem


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A fundamental result in game theory, establishing that every finite, strictly competitive (two-person zero-sum) game has what later came to be called a Nash equilibrium, provided that mixed strategies may be used, and that the corresponding strategies are minimax strategies. The theorem was first proved by the Hungarian-born US mathematician John von Neumann (1903–57) and published in the journal Mathematische Annalen in 1928.


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