Nash equilibrium is a concept within game theory where the optimal outcome of a game is where there is no incentive to deviate from the initial strategy. ... A game may have multiple Nash equilibria or none at all.

What happens if there are two Nash equilibria?

The best situation is when a game has one Nash equilibrium. If there are multiple Nash equilibria, then there is some hope that only one of them is admissible. ... In this case, analysis of the game indicates that the players must communicate or collaborate in some way to eliminate the possibility of regret.

How many Nash equilibria can you have?

Although it would not fit the definition of a competition game, if the game is modified so that the two players win the named amount if they both choose the same number, and otherwise win nothing, then there are 4 Nash equilibria: (0,0), (1,1), (2,2), and (3,3).