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2. Dominance method example ( Enter your problem )
  1. Method & Example-1
  2. Example-2

2. Example-2





Find Solution of game theory problem using dominance method
Player A\Player BB1B2B3
A1172
A2627
A3516


Solution:
2. Dominance rule to reduce the size of the payoff matrix
Using dominance property
Player `B`
`B_1``B_2``B_3`
Player `A``A_1` 1  7  2 
`A_2` 6  2  7 
`A_3` 5  1  6 


row-3 `<=` row-2, so remove row-3

Player `B`
`B_1``B_2``B_3`
Player `A``A_1` 1  7  2 
`A_2` 6  2  7 


column-3 `>=` column-1, so remove column-3

Player `B`
`B_1``B_2`
Player `A``A_1` 1  7 
`A_2` 6  2 





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