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...

Most of the polarization measures proposed in the literature, and likewise the inequality and poverty indices, assume some invariance condition, be that scale, translation or intermediate, which imposes value judgements on the measurement. In the inequality and poverty fields, B. Zheng suggests...

Inequality among people involves comparisons of social indicators such as income, health, education and so on. In recent years the number of studies both theoretical and empirical which take into account not only the individual’s income but also these other attributes has significantly...

The family of multidimensional poverty indices introduced by Bourguignon and Chakravarty (Journal of Economic Inequality, 2003) has attracted a great deal of interest in the field of poverty measurement. In this note we explore a number of properties fulfilled by the members of this family,...

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,...

This paper aims to explore properties that guarantee that multidimensional poverty indices are sensitive to the distribution among the poor, one of the basic features of a poverty index. We introduce a generalization of the monotonicity sensitivity axiom which demands that, in the...