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Multidimensional generalized Gini indices

  • Thibault Gajdos

    ()

  • John A. Weymark

    ()

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://servizi.sme.unito.it/icer_repec/RePEc/icr/wp2003/Gajdos16-03.pdf
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Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 16-2003.

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Length: 30 pages
Date of creation: May 2003
Date of revision:
Handle: RePEc:icr:wpmath:16-2003
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