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Rationalizability of Choice Functions on General Domains without Full Transitivity

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Author Info
Bossert, W.
Sprumont, Y.
Suzumura, K.

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Abstract

The rationalizability of a choice function by means of a transitive relation has been analyzed thoroughly in the literature. However, not much seems to be known when transitivity is weakened to quasi-transitivity or acyclicity. We describe the logical relationship between the different notions of rationalizability involving, for example, the transitivity, quasi-transitivity, or acyclicity of the rationalizing relation.

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Publisher Info
Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 2001-13.

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Length: 29 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montec:2001-13

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Keywords: RATIONAL CHOICE;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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.:

  1. Bossert, W., 1995. "Choices, Consequences, and Rationality," Working Papers 9501, University of Waterloo, Department of Economics.
  2. 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)
  3. Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Blackwell Publishing, vol. 43(1), pages 149-58, February. [Downloadable!] (restricted)
  4. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
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  5. Herzberger, Hans G, 1973. "Ordinal Preference and Rational Choice," Econometrica, Econometric Society, vol. 41(2), pages 187-237, March. [Downloadable!] (restricted)
  6. Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Blackwell Publishing, vol. 38(115), pages 307-17, July. [Downloadable!] (restricted)
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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.)

  1. Lahiri, Somdeb, 2008. "Rationality in a general model of choice," MPRA Paper 10860, University Library of Munich, Germany. [Downloadable!]
  2. BOSSERT, Walter, 2006. "Consistent Relations," Cahiers de recherche 2006-03, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  3. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Maximal-Element Rationalizability," Cahiers de recherche 2002-16, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  4. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 2006-13, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  5. 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!]
  6. 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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