The log-normal distribution is convenient for modelling the income distribution, and it offers an analytical expression for most inequality indices that depends only on the shape parameter of the associated Lorenz curve. A decomposable inequality index can be implemented in the framework of a finite mixture of log-normal distributions so that overall inequality can be decomposed into within-subgroup and between-subgroup components. Using a Bayesian approach and a Gibbs sampler, a Rao-Blackwellization can improve inference results on decomposable income inequality indices. The very nature of the economic question can provide prior information so as to distinguish between the income groups and construct an asymmetric prior density which can reduce label switching. Data from the UK Family Expenditure Survey (FES) (1979 to 1996) are used in an extended empirical application.

We provide a Bayesian inference for a mixture of two Pareto distributions which is then used to approximate the upper tail of a wage distribution. The model is applied to the data from the CPS Outgoing Rotation Group to analyze the recent structure of top wages in U.S. from 1992 through 2009. We found enormous earnings inequality between the very highest wage earners (“the superstars”), and the other high wage earners. These findings are largely in accordance with the alternative explanations combining the model of super-stars and the model of tournaments in hierarchical organization structure. The approach can be used to analyze the recent pay gaps among top executives in large firms so as to exhibit the “superstar” effect.

The theory of human capital is one way to explain individual decisions to produce scientific research. However, this theory, even if it reckons the importance of time in science, is too short for explaining the existing diversity of scientific output. The present paper introduces the social capital of Bourdieu (1980), Coleman (1988) and Putnam (1995) as a necessary complement to explain the creation of scientific human capital. This paper connects these two concepts by means of a hierarchical econometric model which makes the distinction between the individual level (human capital) and the cluster level of departments (social capital). The paper shows how a collection of variables can be built from a bibliographic data base indicating both individual behaviour including mobility and collective characteristics of the department housing individual researchers. The two level hierarchical model is estimated on fourteen European countries using bibliometric data in the fields of economics.

Van Parijs (1995) with basic income and Kolm (2005) with ELIE transfers have both revisited the ethical foundations and the redistributive patterns of the tax system. Despite being formally close, both propositions diverge because the financing of basic income is not really guaranteed and the treatment by ELIE transfers of “eccentric productive people” who choose not to work is not obvious. Both projects remain nevertheless compatible: from a philosophical point of view, Van Parijs tries to equalise individuals’ “external endowments”, while Kolm exploits only their “internal endowments”; from an economic point of view, TECIE transfers which would be based on “external endowments” could thus complete ELIE transfers stemming from “internal endowments”. The first examination of this “hybridisation” provides the framework of our conclusion.