AbstractConsistency of a binary relation requires any preference cycle to involve indifference only. It has been shown that consistency is necessary and sufficient for the existence of an ordering extension of a binary relation. It is therefore of interest to examine the rationalizability of choice functions by means of consistent relations. We describe the logical relationships between the different notions of rationalizability obtained if reflexivity or completeness are added to consistency. All but one such notion are characterized for general domains, and all are characterized for domains that contain all two-element subsets of the universal set. Copyright (c) The London School of Economics and Political Science 2005.
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Bibliographic InfoArticle provided by London School of Economics and Political Science in its journal Economica.
Volume (Year): 72 (2005)
Issue (Month): 286 (05)
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Other versions of this item:
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques.
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2006.
"Rationalizability of choice functions on general domains without full transitivity,"
Social Choice and Welfare,
Springer, vol. 27(3), pages 435-458, December.
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2001. "Rationalizability of Choice Functions on General Domains Without Full Transitivity," Discussion Paper 28, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Bossert, W. & Sprumont, Y. & Suzumura, K., 2001. "Rationalizability of Choice Functions on General Domains without Full Transitivity," Cahiers de recherche 2001-13, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2001. "Rationalizability of Choice Functions on General Domains without Full Transitivity," Cahiers de recherche 2001-13, Universite de Montreal, Departement de sciences economiques.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
- Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 43(1), pages 149-58, February.
- Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
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