REDUCING INEQUALITIES AMONG UNEQUALS
证明了四种收入分配排序方法的等价性，包括收入转移、功利主义一致性、有序贫困缺口优势和新提出的累积最低收入优势，为评估不同特征人群间的收入不平等提供了统一框架。
Abstract This article establishes an equivalence between four incomplete rankings of distributions of income among agents who are vertically differentiated with respect to some nonincome characteristic (health, household size, etc.). The first ranking is the possibility of going from one distribution to the other by a finite sequence of income transfers from richer and more highly ranked agents to poorer and less highly ranked ones. The second ranking is the unanimity among utilitarian planners who assume that agents' marginal utility of income is decreasing with respect to both income and the source of vertical differentiation. The third ranking is the Bourguignon ( Journal of Econometrics , 42 (1989), 67–80) Ordered Poverty Gap dominance criterion. The fourth ranking is a new dominance criterion based on cumulative lowest incomes.