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1. Consider the following two-player game: a b C W 6,9 2, 3 7,3 2,3 X 3, 15 3, 15 2, 18 1,3 Y 2,3

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1. Consider the following two-player game: a b C W 6,9 2, 3 7,3 2,3 X 3, 15 3, 15 2, 18 1,3 Y 2,3 4, 15 3,9 2.3 Z 2,3 2, 3 2,0 2.3 (a) Does player 1 have a strictly dominated strategy? Does player 2 have a strictly dominated strategy? Explain your answer. (10 pts) (b) Find all Nash equilibria in pure strategies and in mixed strategies (10 pts + 10 pts)

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