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Multidimensional Generalized Gini Indices

dc.contributor.authorGajdos, Thibault
dc.contributor.authorWeymark, John A.
dc.description.abstractThe 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.
dc.publisherVanderbilt Universityen
dc.subjectGeneralized Gini
dc.subjectmultidimensional inequality
dc.subjectJEL Classification Number: D63
dc.titleMultidimensional Generalized Gini Indices
dc.typeWorking Paperen

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