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Ranking Opportunity Sets on the Basis of their Freedom of Choice and their Ability to Satisfy Preferences : A Difficulty

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  • Gravel, Nicolas

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Department of Economics; Université de Sherbrooke, Département de sciences économiques)

Abstract

This paper examines Sen’s [21] suggestion that preference information be used to supplement the criterion of freedom of choice for ranking of the opportunity sets. This paper establishes, with some generality, that, in order for this supplementation to procedure a transitive ranking of the opportunity sets, it is necessary and sufficient to assume that the domain ranked is such that the individual preference ordering includes the criterion of freedom of choice as a subrelation. However, it is also shown that the quasi-transitivity of such a ranking can be obtained without further assumption. Hence, it seems difficult to construct a ranking of opportunity sets that attaches value to their freedom of choice while giving some weight to individual preferences. If freedom of choice is to have any value in the ranking, then in order for the ranking to be transitive, this value will have to be instrumental rather than intrinsic (using Sen’s [19] terminology).

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Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 1994008.

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Length: 18
Date of creation: 01 Mar 1994
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Handle: RePEc:ctl:louvir:1994008

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Cited by:
  1. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  2. Xu, Yongsheng, 2003. "On ranking compact and comprehensive opportunity sets," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 109-119, April.
  3. Antoinette Baujard, 2007. "Conceptions of freedom and ranking opportunity sets. A typology," Post-Print halshs-00294466, HAL.
  4. Ritxar Arlegi & Dinko Dimitrov, 2004. "On Procedural Freedom of Choice," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0401, Departamento de Economía - Universidad Pública de Navarra.
  5. Suzumura, Kotaro & Xu, Yongsheng, 2000. "Consequences, Opportunities, and Generalized Consequentialism and Non-consequentialism," Discussion Paper 5, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  6. Ricardo Arlegi, 1998. "Incomplete Preferences and The Preference for Flexibility," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 9819, Departamento de Economía - Universidad Pública de Navarra.
  7. Ricardo Arlegi & Jorge Nieto, 1998. "Equality of Opportunities: Cardinality-Based Criteria," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 9818, Departamento de Economía - Universidad Pública de Navarra.
  8. Iwata, Yukinori, 2007. "A variant of non-consequentialism and its characterization," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 284-295, May.
  9. Suzumura, Kotaro & Xu, Yongsheng, 2001. "Characterizations of Consequentialism and Nonconsequentialism," Journal of Economic Theory, Elsevier, vol. 101(2), pages 423-436, December.
  10. Arlegi, Ricardo & Nieto, Jorge, 2001. "Incomplete preferences and the preference for flexibility," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 151-165, March.
  11. Sebastian Bervoets, 2005. "Freedom of Choice in a Social Context: Comparing Games Forms," IDEP Working Papers 0503, Institut d'economie publique (IDEP), Marseille, France, revised Jan 2005.
  12. Donal O'Neill & Olive Sweetman & Dirk van de gaer, 1999. "Equiality of Opportunity and Kernel Density Estimation: An Application to Intergenerational Mobility," Economics, Finance and Accounting Department Working Paper Series n950999, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
  13. Antoinette Baujard, 2007. "Commensurable freedoms in the capability approach," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200703, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.

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