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3. Consider the extensive form game depicted in the following figure (where the payoff of player 1 is written on top, and the payoff of

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3. Consider the extensive form game depicted in the following figure (where the payoff of player 1 is written on top, and the payoff of 2 is on thebottom) a b C 2 2 2 X X L R y y OO - W 3/2 NN OO 3 3/2 (a) Write this game in normal form. Hint: a player's strategy is a com- plete contingent plan that tells him what to play at each of his infor- mation sets. (10 pts) (b) Find all Nash equilibria of the normal-form game that you find in (a). (10 pts)

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