This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations two alternative sequences of...

In many countries extreme poverty is unnecessary. Yet it persists. We propose a simple index, denoted the Miser index, to measure the extent to which societies have poverty in the midst of affluence. It builds on the generalized Lorenz curve, but can also be seen as a measure of polarization...

This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations Aaberge (2009) introduced two...

In this paper, we estimate the recent evolution of global interpersonal inequality and examine the effect of omitted top incomes on the level and direction of global inequality. We propose a methodology to estimate the truncation point of household surveys by combining information on income...

An ideal state of development, when viewed with fantasy, is nothing but a state or condition where light touches everybody without refraction. The diagonal line of the Lorenz Curve Framework represents such an ideal condition. In the presence of inequality, however, it deviates or refracts from...

Index of refraction is found to be a good measure of economic inequality within the Lorenz curve framework. It has origin in geometrical optics, where it measures bending of a ray of light passing from one transparent medium into another. As light refracts according to characteristics of...

Similar looking Lorenz Curves can imply very different income density functions and potentially lead to wrong policy implications regarding inequality. This paper derives a relation between a Lorenz Curve and the modality of its underlying income density: Given a parametric Lorenz Curve, it is...

We provide a characterization of the generalised satisfaction - in our terminology nondeprivation - quasi-ordering introduced by S.R. Chakravarty (Keio Economic Studies 34 (1997), 17-32) for making welfare comparisons based on the absence of deprivation. We show that the non-deprivation...

The distribution of gross income net of taxes and transfers - or equivalenty consumption - is generally considered a reasonable approximation of the distribution of well-being in the society. One typically observes differing trends in the distribution of gross incomes across countries or within...

This essay outlines the exact definition of “Equality” and “Inequality” in economics. The discussion moves forward to review concepts of ranking of orderings and methodology of constructing Indices of Inequality with an emphasis on Lorenz Orderings. We also discuss the possibility of...