Domain Closedness Conditions and Rational Choice

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Domain Closedness Conditions and Rational Choice

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BOSSERT, Walter
SUZUMURA, Kotaro

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Abstract

The rationalizability of a choice function on an arbitrary domain under various coherence properties has received a considerable amount of attention both in the long-established and in the recent literature. Because domain closedness conditions play an important role in much of rational choice theory, we examine the consequences of these requirements on the logical relationships among different versions of rationalizability. It turns out that closedness under intersection does not lead to any results differing from those obtained on arbitrary domains. In contrast, closedness under union allows us to prove an additional implication.

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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2005-21.

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Length: 19 pages
Date of creation: 2005
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Handle: RePEc:mtl:montde:2005-21

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D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

This paper has been announced in the following NEP Reports:

NEP-ALL-2006-01-24 (All new papers)
NEP-DCM-2006-01-24 (Discrete Choice Models)

References listed on IDEAS
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. [Downloadable!] (restricted)
Other versions:
- 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.
Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Maximal-Element Rationalizability," Theory and Decision, Springer, vol. 58(4), pages 325-350, 06. [Downloadable!] (restricted)
Other versions:
- Bossert, W. & Sprumont, Y. & Suzumura, K., 2002. "Maximal-Element Rationalizability," Cahiers de recherche 16-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
- BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Maximal-Element Rationalizability," Cahiers de recherche 2002-16, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
Donaldson, David & Weymark, John A., 1998. "A Quasiordering Is the Intersection of Orderings," Journal of Economic Theory, Elsevier, vol. 78(2), pages 382-387, February. [Downloadable!] (restricted)
Other versions:
- Donaldson, D. & Waymark, J.A., 1997. "A Quasiodering Is the Intersection of Orderings," UBC Departmental Archives 97-12, UBC Department of Economics.
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," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]

Full references

Cited by:
(explanations, 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.)

BOSSERT, Walter & SUZUMURA, Kotaro, 2005. "Rational Choice on Arbitrary Domains: A Comprehensive Treatment," Cahiers de recherche 2005-13, Universite de Montreal, Departement de sciences economiques. [Downloadable!]

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