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1. (20 points) Consider the extensive form game represented by the following game tree : A C B 2 2 (1, 3 L M R

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1. (20 points) Consider the extensive form game represented by the following game tree : A C B 2 2 (1, 3 L M R L M R (0, 4) (0, 1) (4, 0) (4, 0) (0, 1) (0, 4) (a) Solve for the Nash Equilibria (in pure and mixed strategies) of this game. (b) Find the Nash equilibria which are subgame perfect. (c) Find the Nash equilibria which are weak perfect bayesian equilibria

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