We provide an axiomatic justification to aggregate money metrics. The key axiom requires the approval of richer-to-poorer transfers that preserve the overall efficiency of the distribution. This transfer principle - together with the basic axioms of anonymity, continuity, monotonicity, and a...

¡os's theorem for (bounded) D-ultrapowers, D being the ultrafilter introduced by Kanovei and Shelah [Journal of Symbolic Logic, 69(1):159-164, 2004], can be established within Zermelo-Fraenkel set theory plus Countable Choice (ZF+ACw). Thus, the Transfer Principle for both Kanovei and Shelah's...

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...

Using a simple axiomatic structure we characterise two classes ofinequality indices - absolute and relative - that take into account "envy"in the income distribution. The concept of envy incorporated hereconcerns the distance of each person's income from his or herimmediately richer neighbour....

Inequality measures are often used to summarise information about empirical income distributions. However , the resulting picture of the distribution and of the changes in the distribution can be severely distorted if the data are contaminated. The nature of this distortion will in general...

Orderings of income distribution in terms of inequality should be closely related to orderings in terms of risk. Using a novel mult-country questgionnaire experiment we examine the basis for this claim in terms of respondents' distributional perceptions. We show that in terms of both inequality...

This paper aims to explore properties that guarantee that multidimensional poverty indices are sensitive to the distribution among the poor, one of the basic features of a poverty index. We introduce a generalization of the monotonicity sensitivity axiom which demands that, in the...

The original transfer-stable aggregation functions generalized the arithmetic means to finite chains. The idea of applying these functions was later demonstrated by purchasing several products depending on the quality and price of the products. This paper aims to continue this idea and show...