1. Do the following for each of the extensive games shown below. (a) Identify all proper subgames and the set of pure strategies for each player. (b) Write down the strategic form and find all pure strategy Nash equilibria. (c) Find all pure strategy subgame perfect equilibria. 1 a1 4 A1 1 a2 2 A2_100 0 d1 D1 d2 D2 10 0 A O O - 0 40 Game 1 L R (2,2) M F 2 M F M F (3,1) (0,0) (0,0) (1,3) Game 2