Jarrod and Katie are playing a game involving repeated iterations of a simultaneous-move prisoner's dilemma.In each round,both Jarrod and Katie choose either "cooperate" or "defect." Neither Jarrod nor Katie knows when the game will end.If Jarrod believes that Katie will be playing tit-for-tat:
A) he will maximize his payoffs by defecting in every round.
B) cooperation will be impossible to maintain regardless of the strategy he plays.
C) cooperation might be possible if he also plays tit-for-tat.
D) cooperation might be possible if he plays a strategy where he defects in every round.
E) cooperation might be possible if he plays a strategy where he defects in the first round, cooperates in the second round, and defects in every other round.

Question

Quizplus · Accepted Answer

If Jarrod believes that Katie will be playing tit-for-tat, then it is possible for cooperation to be maintained if he also plays tit-for-tat. In this case, if both players begin by cooperating, they will continue to cooperate in every round as long as each continues to cooperate in the previous round. This is because tit-for-tat involves cooperating in the first round and then copying the other player's previous move in each subsequent round. Therefore, if Jarrod believes that Katie is playing tit-for-tat, he should also play tit-for-tat in order to maximize his payoffs.

Jarrod and Katie Are Playing a Game Involving Repeated Iterations