In game theory, an n-player game is a game which is well defined for any number of players. This is usually used in contrast to standard 2-player games that are only specified for two players. In defining n-player games, game theorists usually provide a definition that allow for any (finite) number of players. The limiting case of is the subject of mean field game theory.
Changing games from 2-player games to n-player games entails some concerns. For instance, the Prisoner's dilemma is a 2-player game. One might define an n-player Prisoner's Dilemma where a single defection results everyone else getting the sucker's payoff. Alternatively, it might take certain amount of defection before the cooperators receive the suckers payoff. (One example of an n-player Prisoner's Dilemma is the Diner's dilemma.)
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- Fischer, Markus (2017). "On the connection between symmetric N-player games and mean field games". Annals of Applied Probability. 27 (2): 757–810. arXiv:1405.1345. doi:10.1214/16-AAP1215.