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Business, 23.12.2021 15:40 GLASGOWANASTASIA

Each day, you and a friend play odds/evens to see who gets the last doughnut. On command, you each extend either one or two fingers. If the sum of the fingers is odd, you get the doughnut. If the sum of the fingers is even, your friend gets the doughnut. Let the payoffs from winning be 1, and from losing, 0. Fill in the payoff matrix below and answer the following question: In a mixed-strategy equilibrium, what happens? a. You and your friend both play 1 finger less frequently than you play 2 fingers, and you expect to win more than 50% of the time.
b. You and your friend both play 1 finger 50% of the time and 2 fingers 50% of the time, and you expect to win 50% of the time.
c. You and your friend both play 1 finger more frequently than you play 2 fingers, and you expect to win more than 50% of the time.

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