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...

This paper considers the problem of comparing two income distributions with different numbers of income recipients. The approach eschews the quot;replication of populationsquot; of Dalton's Population Principle, which has been a fixture of the literature on income inequality since its inception....

We present and discuss a binary relation aimed at the study of the re-distribution of income. We characterize, in a number of ways, the set of income allocations that can be reached from an initial allocation through a sequence of pair-wise equalizing transfers, where the sequence contains no...

It is well known that if income distribution y is majorized by income distribution x (i.e. y Lorenz-dominates x at constant sum, the welfare standard of y being more equally distributed than x) then y can be reached from x by a succession of transfers "from the rich to the poor" that do not go...

This paper characterize two preorders over vectors, representing here income distributions, which, for the case of an order-preserving additive welfare function, corresponds the the increasing concave functions which are more concave than ln(x) and than -1/x, respectively. We provide a...

This paper extends the standard redistribution axioms to the case where the income units differ for example by size, deserve or need. It is essentially based on a generalization of Muirhead's Lemma. The standard case where all units are alike falls off as a particular case