1. Consider the following normal form game. A B C A 5,1 3,2 7,-5 B 6,2 1,0 8,5 C 3,3 4,4 6,3 (a) Find all the Nash Equilibria in pure strategies. (2 marks) (b) Find a mixed strategy Nash equilibrium where each player puts positive probability only on the first two pure strategies (A and B). Be sure to argue that it is an equilibrium. (6 marks) In the remaining parts of this question, consider only pure strategies. (c) Find player 1's maximin strategies and his maximin payoff. (2 marks) (d) Find player 1's minimax payoff. (2 marks) (e) Find player 2's maximin strategies and his maximin payoff. (2 marks) Is this game symmetric? Explain. (2 marks) (8) Is this game zero sum? Explain. (2 marks)