Stochastic dominance and Lorenz dominance are examples of orderings which require unanimous agreement among an infinite set of indices. This paper considers various subsets of inequality measures that respect Lorenz dominance, and assesses the extent to which a small number of indices can...

This paper establishes the principles which should govern the welfare and inequality analysis of heterogeneous income distributions. Two basic criteria - the 'equity preference' condition and the 'compensation principle' - are shown to be fundamentally incompatible. The paper favours the latter,...