论文标题
关于公平社会福利命令的代表和建设
On the Representation and Construction of Equitable Social Welfare Orders
论文作者
论文摘要
本文研究了无限实用流的社会福利命令的表示和明确描述。假定正在调查的社会福利命令满足上渐近性帕累托和匿名公理。我们证明，没有对这种社会福利命令的真实代表。此外，我们确定存在满足匿名性和上渐进式帕累托公理的社会福利秩序的存在，意味着存在非式物体，这是一个非构造性对象。因此，我们得出的结论是，所研究的社会福利命令不承认明确的描述。
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.
