Multidimensional generalized Gini indices |
| |
Authors: | Thibault Gajdos John A Weymark |
| |
Institution: | (1) CNRS-CREST and ICER, 15 boulevard Gabriel Peri, 92245 Malakoff Cedex, France;(2) Department of Economics, Station B, Vanderbilt University, Box 1819, TN 37235 Nashville, USA |
| |
Abstract: | Summary. 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.Received: 20 August 2003, Revised: 26 May 2004, JEL Classification Numbers:
D63.
Correspondence to: John A. WeymarkWe are grateful to our referee for his or her comments. |
| |
Keywords: | Generalized Gini multidimensional inequality |
本文献已被 SpringerLink 等数据库收录! |
|