Category:Definitions/Games

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This category contains definitions related to Games.
Related results can be found in Category:Games.


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:

$G = \sequence {N, \sequence {A_i}, \sequence {u_i} }$