Suppose the following normal form game is played twice. Players observe the actions chosen in the first period prior to the second period. Each player's total payoff is the sum of his/her payoff in the two periods. Consider the following strategy: Play A in period 1, play C in period 2 if the action profile in period 1 is (A;A), otherwise play B. What is the highest value of x>0 for which playing the stated strategy by both players is a subgame perfect equilibrium of the twice repeated game? A B C [Write your answer as a decimal number like 0.33] A 1, 7 4, 0 0, 0 B 0, 4 X X 0, 0 C 0, 0 0, 0 7,1