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Nash Equilibrium

المؤلف:  Nash, J. F

المصدر:  "Non-Cooperative Games." Ann. Math. 54

الجزء والصفحة:  286-295

5-11-2021

2087

Nash Equilibrium

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 {i})" src="https://mathworld.wolfram.com/images/equations/NashEquilibrium/Inline8.gif" style="height:18px; width:80px" /> 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.

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REFERENCES:

Nash, J. F. "Non-Cooperative Games." Ann. Math. 54, 286-295, 1951.