A characterization of a family of rules for the adjudication of conflicting claims

• 成果类型: Article
• 署名作者: Thomson, William
• 署名单位: University of Rochester
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2013.07.002
• 发表日期: 2013
• 页码: 157-168
• 关键词: Claims problems; Consistent extensions; proportional rule; CEA rule; CEL rule

摘要

We consider the problem of adjudicating conflicting claims, and characterize the family of rules satisfying four standard invariance requirements, homogeneity, two composition properties, and consistency. It takes as point of departure the characterization of the family of two-claimant rules satisfying the first three requirements, and describes the restrictions imposed by consistency on this family and the further implications of this requirement for problems with three or more claimants. The proof, which is an alternative to Moulin's original proof [Moulin, H., 2000. Priority rules and other asymmetric rationing methods. Econometrica 68, 643-684], is based on a general method of constructing consistent extensions of two-claimant rules [Thomson, W., 2007. On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach. Rev. Econ. Design 11, 225-251], which exploits geometric properties of paths of awards, seen in their entirety. (C) 2013 Elsevier Inc. All rights reserved.