Abstract Motivated by the pertinence of Pigou–Dalton (PD) transfers for inequality measurement when only one attribute is involved, we show that inframodular functions are consistent with multidimensional PD transfers and that weakly inframodular functions fit more accurately with the traditional notion of PD transfers. We emphasize, for inequality rankings of allocations of multiple attributes in a population, the similarities of the inframodular order, defined using inframodular functions, with the concave order in the unidimensional framework.

中文翻译：

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多维不等式和下模序

摘要 受庇古-道尔顿 (PD) 转移在仅涉及一个属性时用于不平等测量的相关性的推动，我们表明下模函数与多维 PD 转移一致，并且弱下模函数更准确地符合 PD 转移的传统概念。我们强调，对于总体中多个属性分配的不平等排名，使用下模函数定义的下模序与一维框架中的凹序的相似性。