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 to 1, payoff to 2, payo' to 3). (1, O, 1) ________________________ (0,4, 2) (1, 2, 3) (3,4, 3) (2, 1,4) (a) Identify all subgarnes. (b) Show that the following is a subgarne perfect equilibrium: Player 1 chooses b, player 2 chooses d, and player 3 chooses f. (c) Is there any other subgame perfect equilibrium