Definition:Game

Definition
In the context of game theory, a game is any social situation which involves more than one person.

More specifically, a game is a problem of strategy between two or more parties in which all parties involved seek (usually) to maximise their outcome.

A game $G$ can be specified by:
 * its players
 * the moves available to each player
 * the preference relation for each player:

that is:
 * $G = \sequence {N, \sequence {A_i}, \sequence {\succsim_i} }$

$G$ can also be specified by:
 * its players
 * the moves available to each player
 * the payoff function for each player:

that is:
 * $G = \sequence {N, \sequence {A_i}, \sequence {u_i} }$

Also see

 * Examples of games can be found here.