What is the equilibrium outcome ofthe game as presented? (Note that equilibria of normal-form games are written as a set of strategies with the rst player, Solomon in this case, listed rst.) Chooseone: O A. (clean, don'tclean) O B. (don'tclean,clean) O C. (clean, clean) 0 D. (don't clean, don't clean} Part 2 (1 point) 0 See Hint Suppose now that both Solomon and Santiago have the option every evening of shouting at their roommate if he did not clean that day. Shouting will result in an argument that lowers both players' payoffs by 28. Each player now knows that if he does not clean, the other player has the option of shouting and starting an argument that evening. Suppose that Solomon comes back to the room one evening and sees that Santiago has not cleaned, and he knows there is not enough time left in the day for Santiago to clean. Based on the payoffs provided, is Solomon likely to shout at Santiago and start an argument? Choose one: 0 A. yes, but only if Solomon cleaned earlier in the day 0 B. no 0 C. not enough information to say 0 D. yes, but only if Solomon did not clean earlier in the day \fFinally, suppose that the semester ends, and students can select new roommates. Santiago moves out to live with a more emotionally stable roommate, while Solomon finds himself matched with another temperamental student: Billy. Billy also ies into a rage when his roommate doesn't clean, and if both Solomon and Billy are angry, they actually get negative utility because the ghts are so bad. The game is now as follows: Bitter Billy Roommate Game Clean Don't clean Clean 70, 70 0, 56 Angry Solomon Don't clean 56, 0 14. -14 What is the equilibrium outcome now? Choose one: 0 A. (don't clean, clean) 0 B. (clean, clean) 0 C. (don't clean, don't clean} 0 D. (clean, don't clean) An often unexamined strategic interaction occu rs daily on college campuses across the world: choices among roommates regarding who will clean the room. This situation is modeled in the game below with two roommates: Santiago and Solomon. Every day, each has a choice to clean the room or not to clean it. Both are happier with a clean room, but each is happiest when the other cleans and he doesn't. Each is least happy when he cleans and the other does not. The payoffs below can be interpreted as the utility each player receives. For example, if Solomon chooses not to clean and Santiago chooses to clean, Solomon receives 84 utility and Santiago receives 28 utility. Santiago Roommate Game Clean Don't clean Clean 70, 70 28, 84 Solomon Don't clean 84, 28 42, 42