Consider the following version of the undiscounted, three-times-repeated prisoner’s dilemma….

Consider the following version of the undiscounted, three-times-repeated prisoner’s dilemma. There are three equally likely states of the world,  and

Payoff is still the sum of the stage-game payoffs above, but player 2 must play the strategy “tit for tat” (which is to play C in the first period, and in periods 2 and 3 to play the same way player 1 did the period before). Show that the profile “both players play D every period,” which is the unique