2. (20 points) Consider the following two player normal form game. Player 1 is the "Row" player and Player 2 is the "Column" player. Player 1 has two strategies T and B, and player 2 has three strategies, L, M and R. The game is given below: L M R T 2,2 0,3 1,3 B 3,2 1,1 0,2 (a) Does there exist a mixed strategy Nash equilibrium (M.S.N.E) where player 2 mixes between L, M and R,i.e., plays all the three strategies with positive probability. If so describe such equilibria. (6 points) (b) Is there a M.S.N.E where player 2 mixes between L and R? If so, describe such equilibria. (7 points) (c) Is there a M.S.N.E. where player 2 mixes between M and R? If so, describe such equilibria. (7 points)