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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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Author Info
Gravel, Nicolas (UNIVERSITE CATHOLIQUE DE LOUVAIN, Department of Economics; UniversitŽ de Sherbrooke, DŽpartement de sciences Žconomiques)

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Abstract

This paper examines SenÕs [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 SenÕs [19] terminology).

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Publisher 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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  1. 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. [Downloadable!]
  2. Antoinette Baujard, 2007. "Conceptions of freedom and ranking opportunity sets. A typology," Post-Print halshs-00294466_v1, HAL. [Downloadable!]
    Other versions:
  3. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  4. 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. [Downloadable!]
  5. Antoinette Baujard (CREM – CNRS), 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. [Downloadable!]
  6. Dimitrov, D. & Arlegi, R., 2004. "On procedural freedom of choice," Discussion Paper 9, Tilburg University, Center for Economic Research. [Downloadable!]
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  7. 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. [Downloadable!]
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