4. Game theory (25 pts): The payoff matrix of a game is given as: Player B Player A (4,6) (3,3) (2.6) In this game, there are two players, A and B. For each player, there are two possible strategies, X and Y. Answer the questions: a. Does the pure strategy Nash Eqilibrium exist? If yes, what is (are) the pure strategy Nash Equilibrium (Equilibria)? Does the dominant strategy exist for either player? If yes, what is the dominant Nash Equilibrium? What is the mixed strategy Nash equilibrium? What is the expected Nash equilibrium payoff for both players? b. C. 4. Game theory (25 pts): The payoff matrix of a game is given as: Player B Player A (4,6) (3,3) (2.6) In this game, there are two players, A and B. For each player, there are two possible strategies, X and Y. Answer the questions: a. Does the pure strategy Nash Eqilibrium exist? If yes, what is (are) the pure strategy Nash Equilibrium (Equilibria)? Does the dominant strategy exist for either player? If yes, what is the dominant Nash Equilibrium? What is the mixed strategy Nash equilibrium? What is the expected Nash equilibrium payoff for both players? b. C