A Nash equilibrium concludes that a solution always exists in an n-person game, in which each player chooses his or her optimal strategy, given that all the other players have done the same.

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John Nash's equilibrium theorem states that in any game with a finite number of players and strategies, there is at least one set of strategies where no player can benefit by changing their strategy while the other players keep theirs unchanged, implying a solution (or equilibrium) exists in such scenarios.

A Nash Equilibrium Concludes That a Solution Always Exists in an N-Person