5. Consider the following variant of rock-paper-scissors. The usua...

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5. Consider the following variant of rock-paper-scissors. The usual rules apply (scissors beats paper, rock beats scissors, paper beats rock). Given positive real numbers, X, y, and z, the following determines the payoff matrix: a. Paper pays X to scissors, b. Scissors pays y to rock, C. Rock pays Z to paper. Thus, the payoff matrix becomes -Z y Z -X -y X which is anti-symmetric. Hence the value of the game is 0. Now, find an optimal strategy for player 1.

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