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2. Player 1 chooses a1 between 0 and 1 (0 < a1 1) first, and then player 2 also chooses @2 between 0 and 1 after observing a1. Their payoffs (211, u2) depend on the chosen numbers (a1,a2) and a known parameter A as follows: - (a) Given A = 2, find a subgame-perfect equilibrium of this game. (b) Given A = 1, find a subgame-perfect equilibrium of this game.

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