Temkin (1986,1993) sets out a philosophical basis for the analysis of income inequality that provides an important alternative to the mainstream welfarist approach. We show that the Temkin principles can be characterised by a parsimonious axiomatic structure and we use this structure to derive a...

Using a simple axiomatic structure we characterise two classes of inequality indices - absolute and relative - that take into account “envy” in the income distribution. The concept of envy incorporated here concerns the distance of each person’s income from his or her immediately richer...

Recent insights from the philosopher Larry Temkin have suggested a new basis for the measurement of income inequality, founded on the notion of individual “complaints” about income distribution. Under certain specifications of the relationship between complaints and personal incomes it can...

This article provides a brief overview of the key issues in inequality measurement and has been prepared for inclusion in the second edition of The New Palgrave.

It is known from the literature on uncertainty that in cases where individuals express a preference for a high win-probability bet over a bet with high winnings they nevertheless will bid more to obtain the bet with high winnings. We investigate whether a similar phenomenon applies in the...

Building on previous studies on perceptions of inequality, welfare and risk we investigate the structure of individuals' rankings of uncertain prospects in terms of risk and their relationship to individual preferences. We examine three interlinked propositions that are fundamental to the...

Inequality measures are powerful tools of applied welfare analysis. However, to use the tools effectively one has to take into account the characteristics of the data with which one usually has to work. These raise a number of common statistical problems which are addressed here for both...

At the heart of any distributional analysis there is the problem of allowing for differences in people's non-income characteristics. We examine the role of standard equivalence scales in distributional comparisons and the welfare implications of the basis for constructing equivalence scales. We...

We stablish a general relationship between the standard form of the individualistic social-welfare function and the "reduced-form" version that is expressed in terms of inequality and mean income. This shows the relationship between the property of monotonicity and the slope of the...

The analysis of inequality is placed in the context of recent developments in economics and statistics. Prepared for Handbook of Income Distribution, edited by A B Atkinson and F Bourguignon.