Multidimensional generalized Gini indices

Thibault Gajdos () and John Weymark

ICER Working Papers - Applied Mathematics Series from ICER - International Centre for Economic Research

Abstract: The axioms used to 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)
JEL-codes: D63 (search for similar items in EconPapers)
Pages: 30 pages
Date: 2003-05
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Citations: View citations in EconPapers (16)

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Related works:
Journal Article: Multidimensional generalized Gini indices (2005)
Working Paper: 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)
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Persistent link: https://EconPapers.repec.org/RePEc:icr:wpmath:16-2003

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