Rational Choice on Arbitrary Domains: A Comprehensive Treatment

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Rational Choice on Arbitrary Domains: A Comprehensive Treatment

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BOSSERT, Walter
SUZUMURA, Kotaro

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Abstract

The rationalizability of a choice function on arbitrary domains by means of a transitive relation has been analyzed thoroughly in the literature. Moreover, characterizations of various versions of consistent rationalizability have appeared in recent contributions. However, not much seems to be known when the coherence property of quasi-transitivity or that of P-acyclicity is imposed on a rationalization. The purpose of this paper is to fill this significant gap. We provide characterizations of all forms of rationalizability involving quasi-transitive or P-acyclical rationalizations on arbitrary domains.

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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2005-13.

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Length: 36 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:mtl:montde:2005-13

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Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-06-27 (All new papers)
NEP-DCM-2005-06-27 (Discrete Choice Models)

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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. [Downloadable!] (restricted)
Other versions:
- 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. [Downloadable!]
- 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. [Downloadable!]
- 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.
Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April. [Downloadable!] (restricted)
Bossert, W. & Sprumont, Y. & Suzumura, K., 2002. "Maximal-Element Rationalizability," Cahiers de recherche 16-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
Other versions:
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Maximal-Element Rationalizability," Cahiers de recherche 2002-16, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Maximal-Element Rationalizability," Discussion Paper 124, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
- Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Maximal-Element Rationalizability," Theory and Decision, Springer, vol. 58(4), pages 325-350, 06. [Downloadable!] (restricted)
Sen, Amartya K, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Blackwell Publishing, vol. 36(107), pages 381-93, July. [Downloadable!] (restricted)
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. [Downloadable!] (restricted)
Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Consistent Rationalizability," Economica, London School of Economics and Political Science, vol. 72(286), pages 185-200, 05. [Downloadable!] (restricted)
Other versions:
- Bossert, W. & Sprumont, Y. & Suzumura, K., 2002. "Consistent Rationalizability," Cahiers de recherche 12-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Blackwell Publishing, vol. 38(115), pages 307-17, July. [Downloadable!] (restricted)
BOSSERT, Walter & SUZUMURA, Kotaro, 2005. "Domain Closedness Conditions and Rational Choice," Cahiers de recherche 2005-21, Universite de Montreal, Departement de sciences economiques. [Downloadable!]

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