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...

This paper characterizes the set of income allocations attainable through a sequence of equalizing decentralized pair-wise transfers that each preserve the original ranking of the donor and the recipient. This kind of transfer has been considered in the literature on income distribution...