“Minimax Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Minimax Theorem

释义

Minimax Theorem

The fundamental theorem of Game Theory which states that every Finite, Zero-Sum, two-person Game has optimal Mixed Strategies. It was proved byJohn von Neumann in 1928.

Formally, let and be MixedStrategies for players A and B. Let be the Payoff Matrix. Then

where

is called the Value of the Game and

and

are called the solutions. It alsoturns out that if there is more than one optimal Mixed Strategy, there are infinitely many.

See also Mixed Strategy

References

Willem, M. Minimax Theorem. Boston, MA: Birkhäuser, 1996.

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