Questions 9-10 rely on the following prompt Consider the prisoner\'s dilemma rep

Question

Questions 9-10 rely on the following prompt Consider the prisoner's dilemma represented by the normal form game below (note: "Cooperate" means that you keep your mouth shut and don't say anything to the police, while "Defect" means you rat out your partner) Player 2 Cooperate Defect Player 1 Cooperate Defect 30,30 40-x, 10 10,40-x 20-x, 20-x Payoffs: (Player 1, Player 2) 9. In a standard prisoner's dilemma, x = 0, what would the equilibrium be in this case? a. (Cooperate, Cooperate) b. (Cooperate, Defect) c. (Defect, Cooperate) d. (Defect, Defect) 10. Let x represent harm done to a person by the mob if they defect. Which of the following values of x would be sufficient to make (Cooperate, Cooperate) an equilibrium? x=0 x=4 a, b, d, x=12

Explanation / Answer

A Nash equilibrium is an action profile a with the property that no player i can do better by choosing an action different from ai , given that every other player j adheres to aj .

AS PER THIS DEFINATION THE EQUILIBRIUM OF THE GAME IS (DEFECT , DEFECT)

2- NOW FOR THE EQUILIBRIUM TO SHIFT TO (COOPERATE, COOPERATE), WHAT WE HAVE TO DO IS TAKE X IN SUCH A WAY THAT COOPERATE OUTCOMES BENEFITS BOTH OF THE PLAYER,

X = 12 CAN DO THE THING.

SO ANSWER IS X = 12

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