1. Iterated Elimination: In the following normal-form game, which strategy profiles survive iterated elimination of strictly dominated strategies?
2. 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 − . (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 IESDS?
c. Which choices survive IESDS?