2. Consider the following extensive-form game. Note that there are three players and each player has two available actions. Also, note that two nodes of player 3 are in the same information set. Players payoffs are arranged: (payoff t0 1, payoff t0 2, payoff to 3). (1,0,1) 777777777777777777777777777 (0,4,2) (1, 2,3) (3,4,3) (2, 1, 4) (a) Identify all subgames. (b) Show that the following is a subgame perfect equilibrium: Player 1 chooses 1), player 2 chooses d, and player 3 chooses f. (c) Is there any other subgame perfect equilibrium