ECON 333 Game Theory Problem Set 2 1. (25 points) Consider the following two-player game Player 2 Player 1 a. (10 points) Find the strategies that survive iterated elimination of weakly and strictly dominated strategies. b. (15 points) Find the best responses to each strategy and find all (pure strategy) Mash equilibria. 2. (25 points) Consider the Cournot duopoly game with linear demand P = max (a ,0) where ) = g, + g,. Find the Nash equilibrium when firms have different marginal costs such thatc; 100 they both get nothing. a. (10 points) Are there any strictly or weakly dominated strategies in this game? b. (10 points) What are the Nash equilibria of this game