Player A and Player B are playing a game involving several rounds of a prisoner's dilemma where their choices are to "cooperate" or "defect." After each round ends, one player roles a six-sided die. If the die lands on 6, the game ends; however, if the die lands on any other number, the game continues and players play another round. Prior to the game starting, the players formulate a strategy that specifies what they will do in every possible round they might find themselves in. If Player A is playing the tit-for-tat strategy, in the:

Question

Quizplus · Accepted Answer

According to the tit-for-tat strategy, Player A will choose whatever Player B did in the previous round. So in the first round, Player A will cooperate. If Player B also chooses to cooperate, then Player A will cooperate in the second round as well. However, if Player B defects in the first round, then Player A will defect in the second round. Therefore, the best choice for Player A in the second round is to choose whatever Player B chose in the first round, which is option C. It is important to note that the choice made in the third round will depend on what happened in the second round.

Player a and Player B Are Playing a Game Involving