This article introduces a new matrix approach, based on pairwise income comparisons, to decompose the Atkinson-Plotnick-Kakwani re-ranking measure when income units are gathered into groups. As it is known the Atkinson-Plotnick-Kakwani re-ranking measure is defined by the difference between the...

In this paper we reconsider the Dagum decomposition of the Gini index and we compare this decomposition with the decompositions proposed by Mookherjee and Shorrocks and by Lambert and Aronson. In so doing, a deeper insight into the meaning of the overlapping term is given and an alternative...

Existing methods of between-groups income inequality measurement are rather uninformative if applied to genders since they are not sensitive to discrimination. We introduce a Gini-based measure of between-genders inequality which explicitly depends upon discrimination and we apply it to measure...

This Note belongs to the recent literature emphasizing that the residual in the traditional Gini index decomposition reveals more than what is commonly believed. We show that the residual reveals the so far unexplored contribution of stratification to between-group inequality, and this suggests...

In this paper a method for analyzing the fairness of an income tax system when portioning the population into heterogeneous socio-economic groups is proposed. The equitable tax system is defined by the three axioms given by Kakwani and Lambert (1998) and, as they suggest, inequity is evaluated...