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Problem 1 Consider the pay-off matrix 1,2 3,1 4,2 2,0 3,5 1,6 1,5 5,4 3,2 (1) Suppose player I guesses that player II will play the mixed strat (2) Find a Nash equilibrium in which player II plays a mixed strat- (3) Is there a Nash equilibrium in which some player has a mixed egy ( , 호, :). What is player ls best response? egy using only the first and third strategies. strategy using all three of his pure strategies.

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