Inequality is a multidimensional phenomenon though it is often discussed along a single dimension like income. This is also the case for the various decomposition approaches of inequality indices. In this paper we study one- and multidimensional indices on inequality on data for three large...

This paper considers the problem of constructing a normatively significant multidimensional Gini index of relative inequality. The social evaluation relation (SER) from which the index is derived is required to satisfy a weak version of the Pigou-Dalton Bundle Principle (WPDBP) (rather than...

Inequality indices decomposable by attributes are characterized in the case where association can be ignored. This technique permits checking for decomposition of well-known indices.

We study the problem of defining inequality-averse social orderings over the space of allocations in a multi-commodity environment where individuals differ only in their preferences. We formulate notions of egalitarianism based on the axiom that any dominance between the consumption bundles of...

In this paper, we propose a new multidimensional inequality index that satisfies a fundamental set of desired properties. We discuss the case where the social evaluation function of welfare depends simultaneously on unidimensional and multidimensional forms of inequality. We show how this mixed...

Inequality is a multidimensional phenomenon though it is often discussed along a single dimension like income. This is also the case for the various decomposition approaches of inequality indices. In this paper we study one- and multidimensional indices on inequality on data for three large...

This paper introduces a concept of inequality comparisons with ordinal bivariate categorical data. In our model, one population is more unequal than another when they have common arithmetic median outcomes and the first can be obtained from the second by correlation-increasing switches and/or...

This paper develops an ordinal method of comparison of multidimensional inequality. In our model, population distribution g is more unequal than f when the distributions have common median and can be obtained from f by one or more shifts in population density that increase inequality. For our...

We provide, for the class of relative bidimensional inequality indices, adecomposition of inequality into two univariate Atkinson-Kolm-Senindices and a third statistic which depends on the joint distribution ofresources.

The most common approach to measuring inequality of opportunity in income is to apply the Gini inequality index or the Mean Log Deviation (MLD) index to a smoothed distribution (i.e., a distribution of type mean incomes). We show how this approach can be naturally extended to include life...