Consider the game in normal form given in the followingtable. Player 1 is the “row” player...

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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:

LCR
A0,02,-2-2,3
B-2,20,02,-1
C3,1-1,2

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.

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