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...

The paper extends previous results on welfare and inequality comparisons when incomes are weighted and the weights are not necessarily equal across the statistical units. A flexible approach to inequality measurement is allowed which admits as particular cases the relative and absolute views. We...