We compare alternative populations of individuals, who differ for many characteristics besides income, in terms of inequality. In order to achieve our aim, we extend the notion of Generalized Lorenz Preorder to a context of multivariate distributions with different marginals. Finally, we show,...

Decomposability of multidimensional inequality indices by attributes is considered a highly desired property. Naga and Geoffard (2006) provided for it in case of three bivariate indices. To this end, they introduced the notion of a copula function into inequality measurement theory which, as a...

We correct the generalized version of the decomposition of multivariate inequality indices by attributes proposed by Abul Naga and Geoffard "Abul Naga, R. H. and Geoffard, P. Y., 2006. Decomposition of bivariate inequality indices by attributes. Economic Letters 90, pp. 362-367."

This paper illustrates two empirical approaches to the measurement of multidimensional inequality. The first approach is based on the analysis of the independent distribution of monetary and nonmonetary welfare attributes. The second approach considers pair-wise joint distributions of those...

This paper explores the empirical application of theoretical multidimensional inequality analysis using real household welfare distributions. The paper operationalises recent conceptual developments in multidimensional inequality theory and assesses their usefulness for measurement and policy...

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...

This paper explores the implications of using multidimensional majorization criteria to derive inequality measures, without taking into consideration the idea behind the Pigou-Dalton principle, in the sense that if a richer person transfers something of at least one attribute to a poorer person...

In the unidimensional setting, the well known Pigou-Dalton transfer principle is the basic axiom to order distribution in terms of inequality. This axiom has a number of generalizations to the multidimensional approach which have been used to derive multidimensional inequality measures. However,...

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...

This article provides an introduction to the normative approach to multidimensional inequality measurement. Multivariate generalizations of the procedures used to construct univariate inequality indices from social evaluation orderings are described. Axiomatizations of multivariate Atkinson,...