论公平社会福利秩序的表征与构建
On the Representation and Construction of Equitable Social Welfare Orders
摘要：
本文研究了无限效用流上社会福利序的表示和显式描述。假设所研究的社会福利订单满足上渐近帕累托公理和匿名公理。我们证明，不存在这样的社会福利秩序的实值表示。此外，我们建立了一个社会福利秩序满足匿名性和上渐近帕累托公理的存在意味着存在一个非拉姆齐集，这是一个非建设性的对象。因此，我们的结论是，所研究的社会福利秩序不承认明确的描述。
英文摘要：
This paper examines the representation and explicit description of social welfare orders on infinite utility streams. It is assumed that the social welfare orders under investigation satisfy upper asymptotic Pareto and anonymity axioms. We prove that there exists no real-valued representation of such social welfare orders. In addition, we establish that the existence of a social welfare order satisfying the anonymity and upper asymptotic Pareto axioms implies the existence of a non-Ramsey set, which is a non-constructive object. Thus, we conclude that the social welfare orders under study do not admit explicit description.
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