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Multidimensional Generalized Gini Indices

  • Thibault Gadjos


  • 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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Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2003-16.

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Date of creation: 2003
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Handle: RePEc:crs:wpaper:2003-16
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