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Multidimensional generalized Gini indices

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  • Thibault Gajdos

    ()

  • John Weymark

    ()

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. Copyright Springer-Verlag Berlin/Heidelberg 2005

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File URL: http://hdl.handle.net/10.1007/s00199-004-0529-x
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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 26 (2005)
Issue (Month): 3 (October)
Pages: 471-496

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Handle: RePEc:spr:joecth:v:26:y:2005:i:3:p:471-496

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Keywords: Generalized Gini; multidimensional inequality.;

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