## Posts Tagged ‘nash’

## Game Theory: Nash Equilibrium

In game theory, the **Nash equilibrium** is a solution concept of a non-cooperative game involving two or more players, in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.^{[1]} If each player has chosen a strategy and no player can benefit by changing strategies while the other players keep theirs unchanged, then the current set of strategy choices and the corresponding payoffs constitutes a Nash equilibrium.

Stated simply, Amy and Will are in Nash equilibrium if Amy is making the best decision she can, taking into account Will’s decision, and Will is making the best decision he can, taking into account Amy’s decision. Likewise, a group of players are in Nash equilibrium if each one is making the best decision that he or she can, taking into account the decisions of the others in the game.