发表机构
Economics Department, Feliciano School of Business, Montclair State University; Università del Piemonte Orientale（蒙克莱尔州立大学费利恰诺商学院; 皮埃蒙特东方大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文刻画了无限效用流上满足匿名性和几乎弱帕累托的社会福利函数存在的域条件，并构造了具有不变性和平稳性的此类函数。
AI 中文摘要
我们研究了在无限效用流集合上满足匿名性和几乎弱帕累托的实值社会福利函数（SWFs）的存在性。我们刻画了一期效用域\\(Y\subset \mathbb{R}\\)的特征，使得这样的SWFs存在。我们证明，满足这两个公理的SWF存在当且仅当\\(Y\\)不包含与负整数和正整数集合序同构的子集。因此，对于满足匿名性和几乎弱帕累托的SWF存在性所需的\\(Y\\)的限制，与满足匿名性和弱帕累托的SWF存在性所需的限制一致。此外，我们构造的SWF在任意置换下不变，并满足平稳性，这两个性质对于无限水平经济中的决策特别有用。
英文摘要
We study the existence of real-valued social welfare functions (SWFs) on the set of infinite utility streams that satisfy anonymity and almost weak Pareto. We characterize the domains of one-period utilities, \(Y\subset \mathbb{R}\), for which such SWFs exist. We show that an SWF satisfying these two axioms exists if and only if \(Y\) contains no subset that is order-isomorphic to the set of negative and positive integers. Thus, the restrictions on \(Y\) required for the existence of an SWF satisfying anonymity and almost weak Pareto coincide with those required for an SWF satisfying anonymity and weak Pareto. Moreover, the SWF we construct is invariant under arbitrary permutations and satisfies stationarity, two properties that are particularly useful for decision making in infinite-horizon economies.
