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 pariner): Player 2 Cooperate Defect Player 1 Cooperate Defect 30,30 40 - x. 10 0,40-x 20 x. 20-x Payoffs: (Player 1, Player 2) 9. In a standard prisoner's dilemma, x = o. 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? a·x=0 b, x=4 c, x=8 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 .

now as per the given defination the equilibrium in this case is defect,defect

so answer is D

2- now in order to make cooperate,cooperate the equiliubrium the value of x = 12, because then only it will be able to satisfy the defination of nash equilibrium as mentioned in the first answer

so answwer is D

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