Is there a subgame perfect equilibrium

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Consider the following stage game.

1703_Fig 01.jpg

a) Find and report all of the (pure-strategy) Nash equilibria of this game.

(b) Consider the two-period repeated game in which this stage game is played twice and the repeated-game payoffs are simply the sum of the payoffs in each of the two periods. Is there a subgame perfect equilibrium of this repeated game in which (A, X) is played in the first period? If so, fully describe the equilibrium. If not, explain why.

Reference no: EM131250330

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