Multidimensional Generalized Gini Indices
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.
|Date of creation:||2005|
|Date of revision:|
|Publication status:||Published in Economic Theory, Springer Verlag, 2005, 26 (3), pp.471-496. <10.1007/s00199-004-0529-x>|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00085881|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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