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11. Bimatrix method example ( Enter your problem )
  1. Method & Example-1 (pure strategy nash equilibrium)
  2. Example-2 (pure strategy nash equilibrium)
  3. Example-3 (no pure strategy nash equilibrium)

2. Example-2 (pure strategy nash equilibrium)





Find Solution of game theory problem using Bimatrix method
Player A\Player BLR
U8,74,6
D6,57,8


Solution:
Player `B`
`L``R`
Player `A``U` 8, 7  4, 6 
`D` 6, 5  7, 8 


Player `B`
`color{green}{L}``color{green}{R}`
Player `A``color{red}{U}` 8 , 7  4 , 6 
`color{red}{D}` 6 , 5  7 , 8 


The cells with both entries underlined represents pure strategy nash equilibrium.
The game has pure strategy nash equilibrium : `{(U,L),(D,R)}`.




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