Multidimensional Generalized Gini Indices

Thibault Gajdos () and John Weymark
Additional contact information
Thibault Gajdos: CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique, EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

Post-Print from HAL

Abstract: The axioms that characterize the generalized Gini social evaluation orderings for one-dimensional distributions are extended to the multidimensional attributes case. A social evaluation ordering is shown to have a two-stage aggregation representation if these axioms and a separability assumption are satisfied. In the first stage, the distributions of each attribute are aggregated using generalized Gini social evaluation functions. The functional form of the second-stage aggregator depends on the number of attributes and on which version of a comonotonic additivity axiom is used. The implications of these results for the corresponding multidimensional indices of relative and absolute inequality are also considered.

Keywords: Generalized Gini; multidimensional inequality (search for similar items in EconPapers)
Date: 2005
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00085881v1
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (71)

Published in Economic Theory, 2005, 26 (3), pp.471-496. ⟨10.1007/s00199-004-0529-x⟩

Downloads: (external link)
https://shs.hal.science/halshs-00085881v1/document (application/pdf)

Related works:
Journal Article: Multidimensional generalized Gini indices (2005)
Working Paper: Multidimensional Generalized Gini Indices (2005)
Working Paper: Multidimensional Generalized Gini Indices (2003)
Working Paper: Multidimensional generalized Gini indices (2003)
Working Paper: Multidimensional Generalized Gini Indices (2003)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00085881

DOI: 10.1007/s00199-004-0529-x

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().