\begin{definition}[Definition:Preference Relation]
Let $G$ be a game.
Let $P$ be a player of $G$.
Let $C$ be the set $C$ of consequences of the moves available to $P$.
A '''preference relation''' on $P$ is a total preordering $\succsim$ on $C$ which ranks $C$ according to $P$'s eventual payoff.
\end{definition}