Category:Definitions/Games

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

In the context of game theory, a game is a 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:

$G = \stratgame N {A_i} {\succsim_i}$

$G$ can also be specified by:

its players

the moves available to each player

the payoff function for each player:

that is:

$G = \stratgame N {A_i} {u_i}$