Revealed Preference and Order Representation

Revealed preference is an approach in consumer theory that infers preferences from observed choices rather than treating preferences or utility as directly given. If a consumer chooses one bundle when another bundle is also affordable, the chosen bundle is said to be revealed preferred to the alternative. The theory asks under what conditions such observed choices can be rationalized by a preference relation or a utility function. Observed choices may satisfy local consistency by avoiding direct reversals while still failing to support a single complete and transitive ordering. Stronger acyclicity conditions can restore rationalizability, although finite choice data may still leave the underlying preference ordering underdetermined rather than uniquely identified.