Category:Games

This category contains results about Games.
Definitions specific to this category can be found in Definitions/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:

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