THIS IS A GAME THEORY QUESTION

4. Consider an infinitely repeated trust game where Player 1 can decide not to trust Player 2, which brings payoffs of 0 to both players, or trust Player 2. In this case, Player 2 can cooperate, which gives a payoff of 1 to both players, of defect, giving Player 1 a a payoff of -1 and Player 2 a payoff of 2. a) Draw a convex hull of average payoffs. b) Construct a pair of strategies that gives both players an average payoff arbitrarily close to .5 and constitutes a SPNE for a discount factor that is approaching 1. Hint: There are several profiles that achieve this, you can choose any one