Consider the game in normal form given in the followingtable.Player 1 is the “row†player with strategiesA,BandCandplayer 2 isthe “column†player with strategiesL,CandR. The gameis given in thefollowing 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 mixesbetween L,C and R with positive probability.
(b) Find whether there exists a mixed strategy Nash equilibriumwhere each player mixes between all her strategies with positiveprobability.
