排列不变的社会福利秩序是匿名的

IF 0.7 4区 经济学 Q3 ECONOMICS
Jeremy Goodman
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引用次数: 0

摘要

我们考虑了两个被广泛讨论的社会福利关系的公正性标准:置换不变性(Permutation Invariance)和匿名性(Anonymity),前者表示人口的每次置换都会导致关系的自同构(automomorphism),后者表示人口的每次置换都会导致将每个社会福利分配映射到一个同样好的排列。我们证明这些标准对于社会福利秩序(即完整的社会福利关系)是等价的。新的结果是,对于无限种群,排列不变性需要匿名性。这并不奇怪,因为有一些原则性的原因(与坚持帕累托标准有关)导致许多作者拒绝匿名,而支持排列不变性,特别是在无限种群的情况下。目前结果的一个必然结果是,这种方法与社会福利秩序的使用是不相容的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Permutation-invariant social welfare orders are anonymous
We consider two widely discussed impartiality criteria for social welfare relations: Permutation Invariance, which says that every permutation of the population induces an automorphism of the relation, and Anonymity, which says that every permutation of the population induces a permutation that maps every social welfare distribution to one that is equally good. We show that these criteria are equivalent for social welfare orders (i.e., complete social welfare relations). The new result is that Permutation Invariance entails Anonymity for infinite populations. This is not a curiosity, as there are principled reasons (to do with upholding Pareto criteria) that have led many authors to reject Anonymity in favor of Permutation Invariance specifically in the case of infinite populations. A corollary of the present result is that such approaches are incompatible with the use of social welfare orders.
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来源期刊
Journal of Mathematical Economics
Journal of Mathematical Economics 管理科学-数学跨学科应用
CiteScore
1.70
自引率
7.70%
发文量
73
审稿时长
12.5 weeks
期刊介绍: The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.
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