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1. Consider the stage game below Player 2 D E F A 1, 1 1, 1 1, 1 Player I B 1, 8 7,5 1,

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1. Consider the stage game below Player 2 D E F A 1, 1 1, 1 1, 1 Player I B 1, 8 7,5 1, 1 O 5, 7 8,3 1, 1 (a) Suppose the stage game above is repeated twice (T = 2). How many actions and strategies does each player have? Write down three strategies for one player. (b) Is there any SPNE in which player 1 plays B and player 2 plays E in period 1? If yes, find it and prove it is an equilibrium. If not, explain why not

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