2. (12 points) Using the extensive-form game shown below answer the following questions. You should show your work step by step. Hint: the dotted lines mean same information set. (a) Find the pure strategy Nash equilibriun or equilibria (PSNE) of this game. (b) List the dominated strategies for each player if any. Show your work. (c) Draw the simultaneous part of the game in a 2 by 2 normal form representation and find the mixed Nash equilibrium in your 2 by 2 game, Pic - (0.5) 4 P2 B D E P2 PI F G "A F HI (3.2) (0,0) (1.1) (2,3) (1.0) (0.0) (1.1) 2. (12 points) Using the extensive-form game shown below answer the following questions. You should show your work step by step. Hint: the dotted lines mean same information set. (a) Find the pure strategy Nash equilibriun or equilibria (PSNE) of this game. (b) List the dominated strategies for each player if any. Show your work. (c) Draw the simultaneous part of the game in a 2 by 2 normal form representation and find the mixed Nash equilibrium in your 2 by 2 game, Pic - (0.5) 4 P2 B D E P2 PI F G "A F HI (3.2) (0,0) (1.1) (2,3) (1.0) (0.0) (1.1)