1. (4 points) Consider the opening scene to the movie "The Incredibles". Mr. Incredible has three possible opportunities to fight crime, and then must get married that same night. There are four periods, and Mr. Incredible has the choice to fight crime or go to his wedding at any of the four periods, but must stop fighting crime for the night afterwards. Going to the wedding gives him utility of 100 if he goes during any of the first three periods, but a utility of -16 if he goes during the fourth period (he is late!) Fighting crime gives him utility of 60 in period 1, 52 in period 2, and 110 in period 3. Essentially, Mr. Incredible needs to choose between four utility streams: Action Utility Stream W (100, 0, 0, 0) FW (60, 100, 0, 0) FFW (60, 52, 100, 0) FFFW (60, 52, 110, -16) Table 1: Mr. Incredible's possible actions and associated utility streams. Assume Mr. Incredible is a quasi-hyperbolic discounting individual with 8 = 0.5 and 6 = 1. (a) (2 points) If Mr. Incredible was naive, which period will he go to his wedding? (Hint: to calculate utilities, you should look at slide 49 of Lecture 13) (b) (2 points) If Mr. Incredible was sophisticated, which period would he go to his wedding