3. Consider the dictator game where the proposer has $50 to divide to divide. (a) If the proposer has Rawlisian preferences, what is the Nash equilibrium? [5 pts] (b) Now imagine that the proposer is averse to inequality, with the utility function below. Intrepret 0 (1-2 sentences) . [5 pts] Pi Wi = Pi - Oil 50 (c) For what values of 0 will the proposer give more than $0 to the responder? [10 pts 4. Consider the following two player game. The first payoff represents player 1 and the second player 2. For each problem, you must show your work. Player 2 In Out