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

Sources

• 1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory ... (previous) ... (next): $1.4$: Rational Behavior
• 1994: Martin J. Osborne and Ariel Rubinstein: A Course in Game Theory ... (previous) ... (next): $2.1$: Strategic Games