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An Extension Theorem for Rational Choice Functions

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  • Clark, Stephen A
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    Abstract

    A choice function is strictly rational whenever it can be rationalized by a preference relation in a manner such that alternati ves in a choice set are strictly preferred to alternatives in the cor responding rejection set. The author demonstrates an extension theore m that asserts that a preference relation strictly rationalizes the c hoice function if, and only if, the choice function satisfies the wea k axiom of revealed preference and the preference relation is an exte nsion of the revealed weak preference relation. The author then consi ders various applications to rational choice theory. Copyright 1988 by The Review of Economic Studies Limited.

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    Bibliographic Info

    Article provided by Wiley Blackwell in its journal Review of Economic Studies.

    Volume (Year): 55 (1988)
    Issue (Month): 3 (July)
    Pages: 485-92

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    Handle: RePEc:bla:restud:v:55:y:1988:i:3:p:485-92

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    Cited by:
    1. J. C. R. Alcantud & G. Bosi & C. Rodríguez-Palmero & M. Zuanon, 2003. "The relationship between Mathematical Utility Theory and the Integrability Problem: some arguments in favour," Microeconomics 0308002, EconWPA.
    2. Christopher J. Tyson, 2012. "Behavioral Implications of Shortlisting Procedures," Working Papers 697, Queen Mary, University of London, School of Economics and Finance.
    3. Clark, Stephen A., 1995. "Indecisive choice theory," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 155-170, October.
    4. José Alcantud & Gianni Bosi & Carlos Palmero & Magalì Zuanon, 2006. "Mathematical utility theory and the representability of demand by continuous homogeneous functions," Portuguese Economic Journal, Springer, vol. 5(3), pages 195-205, December.
    5. Paola Manzini & Marco Mariotti, 2009. "Consumer choice and revealed bounded rationality," Economic Theory, Springer, vol. 41(3), pages 379-392, December.
    6. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.

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