Please answer all 4 parts and label every step taken.

7 Consider the following two games, with ( > 0: Game 1: b1 b2 a1 1, 1, 1 0, 0, 0 a2 0, 0, 0 9, 9, 10 Game 2: b1 b2 a1 10, 10, F 10, 0, -1 a2 0, 10, -1 0, 0, 10 Consider a dynamic game as follows: Suppose there are three players. Player 3 first chooses which game players 1 and 2 will play from the previous choices. Players 1 and 2 then proceed to play the game. 1. (5 pts) Write the game as an extensive form game where player 3 moves first, and then players 1 and 2 move simultaneously. 2. (5 pts) Solve this dynamic game by backwards induction. 3. (5 pts) How does the end result of this game depend upon player 3's belief over player 1 and 2's actions? 4. (5 pts) What happens as c - co? CO