A theorem in game theory which guarantees the existence of a set of mixed strategies for finite, noncooperative games of two or more players in which no player can improve his payoff by unilaterally changing strategy.

# Nash's Theorem

## See also

Fixed Point, Game, Mixed Strategy, Nash Equilibrium## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Nash's Theorem." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/NashsTheorem.html