Income inequality measures involve two sub-classes of decomposable measures: those decomposed by sub-groups and those decomposed by income source. The former enables one to compute between- and within-group indices. The latter allows for gauging the inequality related to each factor of income...

The purpose of this paper is to show that the Gini index of equality is: (i) subgroup decomposable throughout interpersonal comparisons; (ii) decomposable by income source; (iii) decomposable both by subgroup and income source; (iv) and decomposable in a multidimensional context permitting...

Four axioms are introduced in order to characterize the family of pair-based decomposable inequality measures, which is embraced in the class of weakly decomposable inequality measures. Three axioms, namely, normalization by pairs, aggregation by pairs, and decomposition by pairs enable the...

La littérature montre que la mesure des inégalités de revenu n’est pas suffisante pour appréhender les déterminants des inégalités. Les sources de rémunération, leurs corrélations au revenu global, leurs parts dans le revenu global, rentrent en compte dans la décomposition de la...

This paper introduces the concept of Pigou-Dalton transfers between populations of income receivers. Gini's mean difference and Dagum's Gini index between populations are axiomatically derived in order to gauge the impact of within- and between-group Pigou-Dalton transfers on Dagum's measure. We...

Nous proposons une nouvelle méthode de décomposition. La multidécomposition de l’indicateur de Gini combine deux méthodes de décomposition : la décomposition en sous-groupes et la décomposition en sources de revenu. La technique retenue est mise en oeuvre dans le cadre d’une étude...

In 1990, Cerioli and Zani introduced an operational multivariate method to analyse and measure poverty, aiming at incorporating several dimensions of poverty. As Dagum and Costa [2004] showed, this study applies the fuzzy set theoretic approach and thus making quantitatively operational the...

Given the multiplicative decomposition of the Sen index into three commonly used poverty statistics – the poverty rate (poverty incidence), poverty gap ratio (poverty depth) and 1 plus the Gini index of poverty gap ratios of the poor (inequality of poverty) – the index becomes much easier to...

For any given order of stochastic dominance, standard concentration curves are decomposed into contribution curves corresponding to within-group inequalities, between-group inequalities, and transvariational inequalities. We prove, for all orders, that contribution curve dominance implies...

Gini and entropy are the most use measures to gauge income inequalities. We show that each measure yields different subgroup decomposition techniques into within-group inequalities and between-group inequalities. Then, we show that the Gini index has been decomposed into many ways to bring out a...