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Consider the Following Game: Two Players Must Choose One of Three

Question 49

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Consider the following game: Two players must choose one of three options: rock, paper, or scissors. The winner is determined as follows: Paper slaps rock (and wins); rock crushes scissors (and wins); scissors cuts paper (and wins). If both players choose the same option, it results in a draw. Does the game have a dominant strategy? Does it have an optimal pure strategy?

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