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2. [20 points] Consider the following game with 2 players, Pl and P2: Book Concert 2, 2 B 3, 1 0,0 S 0,0 1,3 (a)

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2. [20 points] Consider the following game with 2 players, Pl and P2: Book Concert 2, 2 B 3, 1 0,0 S 0,0 1,3 (a) For the subgame following "Concert", find all Nash equilibria, include ing the mixed-strategy ones. Page 3 of 4 pages (b) Find the subgame-perfect equilibrium for the entire game. [If mixed- strategies are played, the choice of "Concert" involves an expected utility of playing the subgame of simultaneous moves.] (c) Now suppose the two players make choices sequentially in the subgame following "Concert". PI makes a decision first and then P2 follows. The payoffs are the same as the corresponding ones in the original table. Draw the game tree of this new game. Find the subgame perfect equilibrium

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