We show that the Hicksian welfare measures of compensating variation and equivalent variation coincide if one of them is evaluated at a compensated income. The measures are nondecreasing in income if the varied attribute and income are complementary, and indirect utility is concave in income....

We discuss the general problem of finding fair constrained resource allocations. As criterion for fairness we propose an inequality index, termed fairness ratio, the maximization of which produces Lorenz-undominated Pareto-efficient allocations. Since the fairness ratio does not depend on the...