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4. (20 points) Consider the following game, where (1 represents the degree to which the players are altruistic toward one another, and where it is
4. (20 points) Consider the following game, where (1 represents the degree to which the players are altruistic toward one another, and where it is assumed that a 2 0: Player 2 D C Player 1 D (1+ (1, 1+ (1) (3, 3a) C (3a, 3) (2 + 211, 2 + 2a) (a) Write down the game for a = 1. Is this game a Prisoners' Dilemma game? (b) For what range of values of a is the resulting game a Prisoners' Dilemma
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