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4.6 Roommates: Two roommates each need to choose to clean their apartment, and each can choose an amount of time ti ? 0 to clean.

4.6 Roommates: Two roommates each need to choose to clean their apartment, and each can choose an amount of time ti ? 0 to clean. If their choices are ti and tj , then player i's payoff is given by (10 ? tj )ti ? t2 i . (This payoff function implies that the more one roommate cleans, the less valuable is cleaning for the other roommate.) a. What is the best response correspondence of each player i? b. Which choices survive one round of IES

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4.6 Illl Roommates: T'Wo roonu'nates each need to choose to clean their apartment. and each can choose an amount of time t,- z 0 to clean. If their choices are r,- and t 1-. then player i 's payoff is given by (10 tilt, If. (This payoff function implies that the more one roommate cleans. the less valuable is cleaning for the other roommate.) a. What is the best response correspondence of each player i? h. Which choices survive one round of IESDS'? c. Which choices survive IESDS

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