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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).

Suggested Citation

  • Gravel, Nicolas, 1994. "Ranking Opportunity Sets on the Basis of their Freedom of Choice and their Ability to Satisfy Preferences : A Difficulty," LIDAM Discussion Papers IRES 1994008, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:1994008
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    Cited by:

    1. Suzumura, Kotaro & Xu, Yongsheng, 2003. "Consequences, opportunities, and generalized consequentialism and non-consequentialism," Journal of Economic Theory, Elsevier, vol. 111(2), pages 293-304, August.
    2. 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.
    3. Arlegi, R. & Dimitrov, D.A., 2004. "On Procedural Freedom of Choice," Discussion Paper 2004-9, Tilburg University, Center for Economic Research.
    4. Suzumura, Kotaro & Xu, Yongsheng, 2001. "Characterizations of Consequentialism and Nonconsequentialism," Journal of Economic Theory, Elsevier, vol. 101(2), pages 423-436, December.
    5. Donal O'Neill & Olive Sweetman & Dirk van de gaer, 1999. "Equality of Opportunity and Kernel Density Estimation: An Application to Intergenerational Mobility," Economics Department Working Paper Series n950999, Department of Economics, National University of Ireland - Maynooth.
    6. Sebastian Silva-Leander, 2011. "On the Possibility of Measuring Freedom: A Kantian Perspective," OPHI Working Papers 49, Queen Elizabeth House, University of Oxford.
    7. Arlegi, Ricardo & Nieto, Jorge, 2001. "Incomplete preferences and the preference for flexibility," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 151-165, March.
    8. Antoinette Baujard, 2007. "Commensurable freedoms in the capability approach," Post-Print halshs-00294563, HAL.
    9. Iwata, Yukinori, 2007. "A variant of non-consequentialism and its characterization," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 284-295, May.
    10. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
    11. Antoinette Baujard, 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    12. Yukinori Iwata, 2023. "Evaluating opportunities when more is less," Theory and Decision, Springer, vol. 95(1), pages 109-130, July.
    13. Xu, Yongsheng, 2003. "On ranking compact and comprehensive opportunity sets," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 109-119, April.
    14. 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.
    15. Sebastian Bervoets, 2007. "Freedom of choice in a social context: comparing game forms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 295-315, September.

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