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2767脑筋急转弯中等derivationmedium

Weighted Matching Pennies

题目

Consider the zero-sum matrix game \[ \begin{pmatrix} 2 & -1 \\ -1 & 2 \end{pmatrix}. \] Find the optimal mixed strategies and the value of the game.

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Row's optimal probability for strategy 1

Column's optimal probability for strategy 1

Value of the game