This question is about the sequential moves Prisoners Dilemmagame, played twice. In the first period

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This question is about the sequential moves Prisoners Dilemmagame, played twice. In the first period, player 1 moves, thenplayer 2 observes 1’s choice, then player 2 moves. In period 2,everyone observes all period 1 choices; then the sequence of period1 is repeated. In each period, payoffs to mutual cooperation are 3jollies each; payoffs to mu- tual defection are 1 jolly each;payoffs to cooperating while the other player defects are 0jollies; and payoffs to defecting while the other player cooperatesare 4 jollies. The total payoff to each player is the sum of hispayoffs in the two periods. (a) What is the set of pure strategies for player 1 in theentire game? (b) What is the set of pure strategies for player 2 in theentire game? (c) What is the SPNE of this game? (Hint. An SPNE is a pairof strategies, not just the outcome of the game.) (d) Suppose that the game is played in the sequence described,but neither player can observe any of the other player’s moves atany point in the game. Now what is the set of pure strategies forplayer 1? (e) In the game of the previous subpart, what is the set of purestrate- gies for player 2? (f) What is the SPNE of the game described in part (d)? . . .

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