Economics Game Theory

Question 1 Consider the two player game below. P1 C o (2, 3) A P2 B 6 P2 P1 D E D E C d e (3, 1) (0,0) (0, 0) (1, 2) (1, 2) (4, 1) (2, 1) a) (7 points) Derive the strategy sets for each player. b) (18 points) Derive all subgame perfect Nash equilibria in pure strategies. Defend all your answers carefully and show every step of your calculations