This paper introduces a new Lorenz dominance criterion that allows ranking income distributions according to ray-invariant intermediate inequality measures. In doing so, it defines a-Lorenz curves by adapting the generalized Lorenz curves to this case. In addition, it provides an empirical...

Poverty and wellbeing are multi-dimensional. Nobody questions that deprivations and achievements go beyond income. There is, however, sharp disagreement on whether the various dimensions of poverty and wellbeing can be aggregated into a single, multi-dimensional index in a meaningful way. Is...

An ethnic polarization index is a summary statistic of ethnic diversity in a population. Montalvo and Reynal-Querol (2005,2008) suggested an index of ethnic polarization, the RQ index, and discussed its properties in detail. In this paper we develop some axiomatic characterizations of the RQ...

An abbreviated or reduced-form monotonic polarization index is an increasing function of the between-group term and a decreasing function of the within-group term of a population subgroup decomposable inequality index. The between-group term represents the „identification? component of...

This paper introduces a class of intermediate inequality indices, I(?, ?), that is at the same time ray-invariant and unit-consistent. These measures permit us to keep some of the good properties of Krtscha’s (1994) index while keeping the same “centrist” attitude whatever the income...

An income inequality measure satisfies the Pigou-Dalton transfer principle if progressive transfers decrease income inequality. When transfers cause transaction costs, one can trace out the maximum leakage such that the transfer pays at the margin. An income inequality measure is leaky-bucket...

The purpose of this paper is to analyze the advantages and disadvantages of several intermediate inequality measures, paying special attention to whether inequality rankings between income distributions are affected by the monetary units in which incomes are expressed.

In this paper, a new class of polarization measures is derived axiomatically. The concept of polarization is here identified with the decline of the middle class. In particular, we extend the definition of middle class towards a more realistic framework: the middle class is defined in terms of...