Ranking profiles of capability sets |
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Authors: | Rebeca A Echávarri Iñaki Permanyer |
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Institution: | 1.Department of Economics,Universidad Pública de Navarra,Pamplona,Spain;2.Department of Economics and Institut d’Anàlisi Econòmica (IAE-CSIC),Universitat Autònoma de Barcelona,Barcelona,Spain |
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Abstract: | In this paper, we present an innovative approach for ranking profiles of capability sets on the basis of equity. An interesting
way of capturing the notion of equity is to take into account the extent to which each of the different functioning vectors
is shared by the population under consideration (of size n). This is done by defining the ‘common capability sets’ enjoyed by k individuals as the set of functioning vectors simultaneously available to at least k individuals (1 ≤ k ≤ n). These sets are closely related to the original capability sets and have some interesting properties that are examined throughout
the paper. We define and axiomatically characterize a capability profile ranking that lexicographically compares the different
common capability sets.
We would like to thank for helpful discussion and comments to Jorge Alcalde-Unzu, Ritxar Arlegi, Miguel A. Ballester, Jose
Enrique Galdón, Antonio Nicolò, Jorge Nieto, Prasanta Pattanaik, John Weymark and the anonymous referees of this paper. The
project is supported by Spanish’ Comision Interministerial de Ciencia y Technologia (SEC2003-08105) and by the European Commission
(MRTN-CT-2003-504796). |
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