This paper considers, in the context of the fixed-population constant-sum comparison of income distributions, a number of intransitive binary relations smaller than Lorenz dominance. We determine their transitive closure and we study how they relate to each other and to other relations that have...

There is an irreductible conflict between, on the one hand, the desire to allocate income in society in an equitable way and, on the other, the desire to alleviate poverty. The conflict materializes itself in the problem of designing a basic income (or negative income tax) system which requires...

This paper builds on a recent article in Management Science by Milne and Neave and is concerned with the duality relationship between the definition of a stochactic dominance ordering and the disturbance which added to the dominating random variable gives the dominated one. We show that such...