Definition:Preference Relation

Definition
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.

Also known as
Informally, a preference relation can be referred to as a utility scale.

Also see

 * Definition:Model of Rational Choice
 * Definition:Rules of Game
 * Definition:Payoff Function
 * Definition:Utility Function