7. (10 pts. Consider a prisoner's dilemma game of the following. Ben Alex Confess Deny Confess (1,1) (0,20) Deny (20,0)
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7. (10 pts. Consider a prisoner's dilemma game of the following. Ben Alex Confess Deny Confess (1,1) (0,20) Deny (20,0)
b) Suppose that the prisoner's dilemma game is repeated once every year, forever. Firm i's payoff of the repeated game of the repeated game is a discounted sum of each year, starting with year 0. The payoff of the repeated game for Firm i is, Tt; = 2-oB! Ti je Where Tij is Firm i's jth year specific payoff. Suppose further that B = 0.9. Explain what a grim trigger strategy is in this game. Then, show (with calculations) how both firms using grim-trigger strategies is NOT a nash equilibrium. (4 pts.) c) Continuing from part b), what is the lowest value of that can support a grim-trigger strategy equilibrium? (4 pts.)