Consider the Two-Person,zero-Sum Game Having the Following Payoff Table

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The Answer is Since

but with

,strategy 1 of player 2 is dominated by strategy 3,so this strategy 1 is eliminated.Next,[-2 -1] < [3 1] and [-2 -1] < [4 0] ,so strategy 2 for player 1 is dominated by both strategy 1 and strategy 3,so this strategy 2 is eliminated.Next,

,so strategy 2 for player 2 is dominated by strategy 3,so this strategy 2 is eliminated.Finally,1 > 0,so strategy 3 for player 1 is dominated by strategy 1,so this strategy 3 is eliminated.Therefore,player 1 will choose strategy 1 and player 2 will choose strategy 3,resulting in a payoff of 1 to player 1 and a payoff of -1 to player 2.

Consider the Two-Person,zero-Sum Game Having the Following Payoff Table

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