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An extension theorem for rational choice functions

Stephen A. Clark

The Review of Economic Studies, 1988, vol. 55, issue 3, 485-492

Abstract: A choice function is strictly rational whenever it can be rationalized by a preference relation in a manner such that alternatives in a choice set are strictly preferred to alternatives in the corresponding rejection set. We demonstrate an Extension Theorem which asserts that a preference relation strictly rationalizes the choice function if and only if the choice function satisfies the Weak Axiom of Revealed Preference and the preference relation is an extension of the revealed weak preference relation. Then we consider various applications to rational choice theory.

Date: 1988
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The Review of Economic Studies is currently edited by Thomas Chaney, Xavier d’Haultfoeuille, Andrea Galeotti, Bård Harstad, Nir Jaimovich, Katrine Loken, Elias Papaioannou, Vincent Sterk and Noam Yuchtman

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