Multidimensional Generalized Gini Indices

Thibault Gajdos () and John Weymark

No 311, Vanderbilt University Department of Economics Working Papers from Vanderbilt University Department of Economics

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)
Date: 2003-05, Revised 2003-07
New Economics Papers: this item is included in nep-ltv
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Citations: View citations in EconPapers (10)

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http://www.accessecon.com/pubs/VUECON/vu03-w11R.pdf Revised version, 2003 (application/pdf)

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:van:wpaper:0311

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