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Two students play a zero-sum campus scavenger-hunt game. Row chooses U or D...

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Two students play a zero-sum campus scavenger-hunt game. Row chooses UU or DD, Column chooses LL or RR. Row's payoffs are (U,L):3(U,L):3, (U,R):-1(U,R):-1, (D,L):-3(D,L):-3, (D,R):1(D,R):1. In each case, Column's payoff equals 0 - Row's payoff (i.e., the sum of Row's and Column's payoff is always zero in each case). What probability of UU makes Column indifferent?

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