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1. Two players are bargaining, just as in the Rubinsteins alternating offers model studied in class, over the division of a cake of size 1. The difference is that player 1 has discount factor δί and player 2 has discount factor Assume that the one-shot deviation principle holds here (it does, but you dont have to prove it). a. Prove that there is a unique subgame- perfect equilibrium for this game, and describe the payoff to each proposer. b. Describe what happens as δ1 δ2, interpret the outcome.

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