# Nash Equilibrium
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In game theory, a nash equilibrium is a situation where no player could gain more by changing their own strategy (holding all other players' strategies fixed) in a game. A nash equilibrium is the most commonly used solution concept for non-cooperative games.
If each player has chosen a strategy — an action plan based on what has happened so far in the game — and no one can increase one's own expected payoff by changing one's strategy while the other players keep theirs unchanged, then the current set of strategy choices constitutes a nash equilibrium.
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