As1.sume there are two people deciding what to do for the next four hours. They can spend that four hours watching a Mario Bava marathon of Black Sunday and Blood and Black Lace or spend up to four hours picking up litter (a public good). Assume PG₁, PG₂ is the number of hours spent picking up litter for person 1 and 2 respectively. The expected utility for person 1 is: (2 + PG₁ + PG₂) (4 - PG₁). The expected utility for person 2 is: (2 + PG₁ + PG₂) (4 - PG₂). Set up a matrix when each player can choose 0, 2, or 4 hours of picking up litter. For example if both pick up litter for 2 hours player 1's payoff is (2+ 2 + 2)(4 - 2) = 12.

In a general sense, explain player 1's utility function (or player 2's!). Is there a Nash Equilibrium? Explain how you came to your answer. Find a mixed strategy Nash Equilibrium. Explain precisely your answer.