3. (a) Consider the following payoff matrix: Player 2 L C R Player 1 M CMA T 2,0 1,1 4,2 3,4 1,2 2,3 B 1,3 0.2 3,0 (i) Compute pure strategy NE and mixed-strategy NE of the following 2-player game in normal form. (Hint: players will never play their dominated strategy). Draw the best response function for this game. (15 marks) (ii) Write out and solve for equilibrium strategies of the extensive form game with the same payoffs, but in which row player moves first and column player observe the row player's move. (6 marks) b) Prove that if a simultaneous-move game has a dominant strategy equilibrium, then this is the only Nash equilibrium for the game. (6 marks)