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(15 points) The following game box describes a game played by two players. Player 2 Left Center Right Player Up (15, 10) (a,5) (10, B)

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(15 points) The following game box describes a game played by two players. Player 2 Left Center Right Player Up (15, 10) (a,5) (10, B) Middle (a,10) (22,12) (5,5) Down (7,9) (12, B) (16,10) a. Under what conditions (in terms of a and B) is (Down, Right) the only pure strategy Nash equilibrium? b. Under what conditions are there no pure strategy Nash equilibria

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