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(In this and all other questions in which a game matrix is given, Player 1 chooses the row, Player 2 chooses the column, and
(In this and all other questions in which a game matrix is given, Player 1 chooses the row, Player 2 chooses the column, and if there is a Player 3, she chooses the matrix.) Suppose we have the infinitely repeated Prisoner's Dilemma with the following stage game payoff matrix: D C 3,3 4,-5 D -5,4 -1,-1 Both players have adopted a tit-for-tat strategy. Recall that the tit-for-tat strategy is defined by: 1. Playing C in the first period. 2. In any other period, playing the action which the opponent played in the last period. Suppose the game is infinitely repeated and CC is to be played in the next period. If Player 1 discounts her payoffs in future periods by some number, r, where 0
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