Rational Choice on Arbitrary Domains: A Comprehensive Treatment
AbstractThe 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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Bibliographic InfoPaper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2005-13.
Length: 36 pages
Date of creation: 2005
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Rational Choice; Quasi-Transitivity; P-Acyclicity;
Other versions of this item:
- BOSSERT, Walter & SUZUMURA, Kotaro, 2005. "Rational Choice on Arbitrary Domains: A Comprehensive Treatment," Cahiers de recherche 17-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
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- BOSSERT, Walter & SUZUMURA, Kotaro, 2005.
"Domain Closedness Conditions and Rational Choice,"
Cahiers de recherche
2005-21, 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.
- Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002.
82, 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.
- 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," Cahiers de recherche 2001-13, Universite de Montreal, Departement de sciences economiques.
- 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.
- Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
- Sen, Amartya K, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 381-93, July.
- Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April.
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