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Question: consider a game in which player 1 first selects between...

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Consider a game in which Player 1 first selects between L and R. If Player 1 selects L, then players 1 and 2 play a prisoner’s dilemma game represented in the strategic form above. If Player 1 selects R then, Player 1 and 2 play the battle-of-the-sexes game in which they simultaneously and independently choose between A and B. If they both choose A, then the payoff vector is (4,4). If they both choose B, then the payoff vector is (2,2). Finally, if one chooses A while the other B then the payoff vector is (0, 0). The game has_______________ proper subgames. Player 1 has_________ pure strategies and Player 2 has_________ pure strategies. (Please, enter only numerical answers like: 1, 2, 3, ...)  

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