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1. (13 points) Consider the following extensive form game: X E 2 (2, 1) L M R (1, 2) 1 p (3,1) (1,3) (1,3) (3,1)

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1. (13 points) Consider the following extensive form game: X E 2 (2, 1) L M R (1, 2) 1 p (3,1) (1,3) (1,3) (3,1) (a) Give the normal form representation of this game. (b) Find the Nash equilibria. (c) Using Backward Induction, find the Subgame Perfect Nash Equilibrium of this game

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