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首页> 外文期刊>Journal of Mathematical Economics >Fleurbaey-Michel conjecture on equitable weak Paretian social welfare order
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Fleurbaey-Michel conjecture on equitable weak Paretian social welfare order

机译：Fleurbaey-Michel猜想关于公平的弱Paretian社会福利秩序

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The paper examines the problem of explicit description of a social welfare order over infinite utility streams, which respects anonymity and weak Pareto axioms. It provides a complete characterization of the domains of one period utilities, for which it is possible to explicitly describe a weak Paretian social welfare order satisfying the anonymity axiom. For domains containing any set of order type similar to the set of positive and negative integers, every equitable social welfare order satisfying the weak Pareto axiom is non-constructive. The paper resolves a conjecture by Fleurbaey and Michel (2003) that there exists no explicit (that is, avoiding the axiom of choice or similar contrivances) description of an ordering which satisfies weak Pareto and indifference to finite permutations. It also provides an interesting connection between the existence of social welfare function and the constructive nature of social welfare order by showing that the domain restrictions for the two are identical.
机译：本文研究了在无限效用流上明确描述社会福利秩序的问题，该问题尊重匿名性和弱的帕累托公理。它提供了一个时期公用事业领域的完整描述，可以明确地描述一个满足匿名性公理的微弱的帕累特式社会福利秩序。对于包含与正整数和负整数相似的任何订单类型集的域，满足弱Pareto公理的每个公平社会福利订单都是非建设性的。该论文解决了Fleurbaey和Michel（2003）的一个猜想，即不存在满足弱Pareto和对有限排列无动于衷的排序的明确描述（即，避免选择公理或类似的麻烦）。通过显示两者的域限制是相同的，它还提供了社会福利功能的存在与社会福利秩序的建设性之间的有趣联系。

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