Operators for the adjudication of conflicting claims

• 成果类型: Article
• 署名作者: Thomson, William; Yeh, Chun-Hsien
• 署名单位: University of Rochester; Academia Sinica - Taiwan; National Central University
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2007.12.005
• 发表日期: 2008
• 页码: 177-198
• 关键词: Conflicting claims; Division rules; Operators; Minimal rights; Maximal claims; Duality

摘要

We consider the problem of allocating some amount of an infinitely divisible and homogeneous resource among agents having claims on this resource that cannot be jointly honored. A rule associates with each such problem a feasible division. Our goal is to uncover the structure of the space of rules. For that purpose, we study operators on the space, that is, mappings that associate to each rule another one. Duality, claims truncation, and attribution of minimal rights are the operators we consider. We first establish a number of results linking them. Then, we determine which properties of rules are preserved under each of these operators, and which are not. (C) 2008 Elsevier Inc. All rights reserved.