In game theory,a Nash equilibrium is the set of strategies each of the players chooses by selecting the strategy that maximizes her payoff independent of what the other players might choose.

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In a Nash equilibrium, each player's strategy is optimal given the strategies chosen by the other players. It's not about maximizing payoff independent of others, but rather choosing a strategy that best responds to the strategies of others.

In Game Theory,a Nash Equilibrium Is the Set of Strategies