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2005
- ISIDORE Id: 10670/1.49ae87...
- halshs: halshs-00085881
- doi: 10.1007/s00199-004-0529-x
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s00199-004-0529-x
info:eu-repo/semantics/OpenAccess
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Generalized Gini multidimensional inequalitySujets proches
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Thibault Gajdos et al., « Multidimensional Generalized Gini Indices », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1007/s00199-004-0529-x
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Résumé
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.
