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For a mixed Nash equilibrium that is not pure equilibrium, what property does it...

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For a mixed Nash equilibrium that is not pure equilibrium, what property does it satisfy ?

If Player 1 knows the probabilities for each play of player 2, the probabilities that he uses for himself will maximize his gains.

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If Player 1 knows the probability for each play of player 2, his gains will be indifferent to the probabilities that he uses for himself.

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