In: Statistics and Probability
Consider the game in normal form given in the followingtable. Player 1 is the “row” player with strategiesA,BandCandplayer 2 is the “column” player with strategiesL,CandR. The gameis given in the following table:
| L | C | R | |
| A | 0,0 | 2,-2 | -2,3 | 
| B | -2,2 | 0,0 | 2,-1 | 
| C | 3,1 | -1,2 | 
 0,1  | 
(a) Find whether there is a mixed strategy Nash equilibrium (M.S.N.E) where player 1 mixes between A and C and player 2 mixes between L,C and R with positive probability.
(b) Find whether there exists a mixed strategy Nash equilibrium where each player mixes between all her strategies with positive probability.