Nash Equilibrium - Wikipedia - en.wikipedia.org  ## Metadata - Author: **en.wikipedia.org** - Full Title: Nash Equilibrium - Wikipedia - Category: #articles - Tags: #game-theory - URL: https://en.wikipedia.org/wiki/Nash_equilibrium#Proof_of_existence ## Highlights - In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equilibrium strategies of the other players, and no one has anything to gain by changing only one's own strategy.[1] The principle of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to competing firms choosing outputs