A Nash equilibrium of a strategic game is a profile of strategies , where
(
is the strategy set of player
), such that for each player
,
,
, where
and
.
Another way to state the Nash equilibrium condition is that solves
for each
. In words, in a Nash equilibrium, no player has an incentive
to deviate from the strategy chosen, since no player can choose a better strategy
given the choices of the other players.
The Season 1 episode "Dirty Bomb" (2005) of the television crime drama NUMB3RS mentions Nash equilibrium.