# Optimal Strategy for a 2-Person Zero-Sum Game using Mixed Strategies

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Find the value and the optimal strategies for the two person zero-sum game below.

Player 2

Player 1 1 2 3

2 0 3

I have determined the value of the game, but I don't know how to get to the optimal strategy. Please step through. My professor gave us the answer: Row Player Value = 4/3, The optimal strategy for the row player is (2/3,1/3). The optimal strategy for the column player is (2/3, 1/3, 0).

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#### Solution Summary

An optimal strategy for a 2-person zero-Sum Game using mixed strategies is found.

$2.49