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Multidimensional Generalized Gini Indices

  • Thibault Gajdos

    ()

    (CNRS-CREST)

  • John A. Weymark

    ()

    (Department of Economics, Vanderbilt University)

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.

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File URL: http://www.accessecon.com/pubs/VUECON/vu03-w11R.pdf
File Function: Revised version, 2003
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Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0311.

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Date of creation: May 2003
Date of revision: Jul 2003
Handle: RePEc:van:wpaper:0311
Contact details of provider: Web page: http://www.vanderbilt.edu/econ/wparchive/index.html

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