\begin{definition}[Definition:Game]
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:
:$G = \sequence {N, \sequence {A_i}, \sequence {u_i} }$
\end{definition}