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Non-Deteriorating Choice without Full Transitivity

  • BOSSERT, Walter
  • SUZUMURA, Kotaro

Although the theory of greatest-element rationalizability and maximal-element rationalizability under general domains and without full transitivity of rationalizing relations is well-developed in the literature, these standard notions of rational choice are often considered to be too demanding. An alternative definition of rationality of choice is that of non-deteriorating choice, which requires that the chosen alternatives must be judged at least as good as a reference alternative. In game theory, this definition is well-known under the name of individual rationality when the reference alternative is construed to be the status quo. This alternative form of rationality of individual and social choice is characterized in this paper on general domains and without full transitivity of rationalizing relations.

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File URL: http://hdl.handle.net/1866/2150
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Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2006-13.

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Length: 30 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:mtl:montde:2006-13
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Web page: http://www.sceco.umontreal.ca

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  1. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  2. BOSSERT, Walter & SPRUMONT, Yves, 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Universite de Montreal, Departement de sciences economiques.
  3. Walter Bossert & Yves Sprumont, 2009. "Non-Deteriorating Choice," Economica, London School of Economics and Political Science, vol. 76(302), pages 337-363, 04.
  4. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Maximal-Element Rationalizability," Discussion Paper 124, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  5. A. Rubinstein & L. Zhou, 1998. "Choice Problems with a "Reference" Point," Princeton Economic Theory Papers 00s3, Economics Department, Princeton University.
  6. Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April.
  7. BOSSERT, Walter & SPRUMONT, Yves & SUZUMURA, Kotaro, 2002. "Consistent Rationalizability," Cahiers de recherche 2002-12, Universite de Montreal, Departement de sciences economiques.
  8. 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.
  9. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
  10. 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.
  11. Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November.
  12. Suzumura, Kotaro, 1976. "Rational Choice and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 43(1), pages 149-58, February.
  13. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  14. BOSSERT, Walter & SPRUMONT, Yves, 2002. "Efficient and Non-Deteriorating Choice," Cahiers de recherche 2002-10, Universite de Montreal, Departement de sciences economiques.
  15. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
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