There is a penalty kick scenario: the striker can shoot left, right or middle. Similarly, the goalkeeper can jump to the left, right or stay in the middle. Assume the striker never misses the goal when shooting to the center or to the left corner but misses 20% of the shots to the right corner. Further assume the goalkeeper can prevent a goal in 50% when he jumps to the correct corner, or 100% of the shots in the middle if he stays in the middle. 1) write down the bimatrix

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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There is a penalty kick scenario: the striker can shoot left, right or middle. Similarly, the goalkeeper can jump to the left, right or stay in the middle. Assume the striker never misses the goal when shooting to the center or to the left corner but misses 20% of the shots to the right corner. Further assume the goalkeeper can prevent a goal in 50% when he jumps to the correct corner, or 100% of the shots in the middle if he stays in the middle.

1) write down the bimatrix

2) for the striker, "right" is not a best response to any pure strategy. Find a mixed strategy such that "right" is the best response to sigma2.

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