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2768脑筋急转弯中等derivationmedium

Penalty Kick as a Zero-Sum Game

题目

A striker chooses Left or Right, and a goalkeeper chooses Left or Right. The striker's success probabilities are \[ \begin{pmatrix} 0.6 & 0.9 \\ 0.8 & 0.7 \end{pmatrix}, \] where rows are the striker's choices and columns are the keeper's choices. Treat this as a zero-sum game with Row = striker. Find the equilibrium mixing probabilities and the value.

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你的答案

Striker Left Probability

Striker Right Probability

Keeper Left Probability

Keeper Right Probability

Game Value