Definition:Preference Relation

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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