Problem 1. (1.5 points total) Consider the following game: 1 c 2 c 1 c 20 (3,3) Z n N n 1 1 0 3 NN 2 2 1 A) (0.5 points) Introduce the set of strategies for both players. Explain how many information sets does each player have? B) (0.5 points) Introduce the normal form of this game and find all Normal form pure strategy NE. C) (0.5 points) Separate the game into appropriate sub-games and find all sub game perfect Nash Equilibrium/s. Problem 1. (1.5 points total) Consider the following game: 1 c 2 c 1 c 20 (3,3) Z n N n 1 1 0 3 NN 2 2 1 A) (0.5 points) Introduce the set of strategies for both players. Explain how many information sets does each player have? B) (0.5 points) Introduce the normal form of this game and find all Normal form pure strategy NE. C) (0.5 points) Separate the game into appropriate sub-games and find all sub game perfect Nash Equilibrium/s