An inequality measure is consistent if it ranks distributions the same irrespective of whether health quantities are represented in terms of attainment or shortfalls. This consistency property severely restricts the set of admissible inequality measures. We show that, within a more general...

We characterize a class of envy measures. There are three key axioms. Decomposability requires that overall envy is the sum of the envy within and between subgroups. The other two axiomsdeal with the two-individual setting and specify how the envy measure should react to simple changes in the...

The well-known swap distance (Kemeny (1959); Kendall (1938); Hamming (1950)) is analyzed. On weak preferences, this function was characterized by Kemeny (1959) with five conditions; metric, betweenness, neutrality, reducibility, and normalization. We show that the same result can be achieved...

What is a good incentive-compatible policy when one wants to respect individual choices of labor and human capital but eliminate inequalities due to unequal access to human capital and different returns to human capital, and when earnings and human capital expenditures are the only verifiable...