Priority classes and weighted constrained equal awards rules for the claims problem

• 成果类型: Article
• 署名作者: Flores-Szwagrzak, Karol
• 署名单位: University of Southern Denmark
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2015.08.008
• 发表日期: 2015
• 页码: 36-55
• 关键词: Consistency; Composition up; Claims truncation invariance

摘要

We revisit the claims problem (O'Neill, 1982), where a group of individuals have claims on a resource but there is not enough of it to honor all of the claims. We characterize the rules satisfying three wellknown invariance axioms: consistency, composition up, and claims truncation invariance. They are priority-augmented versions of the standard weighted constrained equal awards rules, also known as weighted gains methods (Moulin, 2000): individuals are sorted into priority classes; the resource is distributed among the individuals in the first priority class using a weighted constrained equal awards rule; if some of the resource is left over, then it is distributed among the individuals in the second priority class, again using a weighted constrained equal awards rule; the distribution carries on in this way until the resource is exhausted. Our characterization extends to a generalized version of the claims problem where there are multiple divisible and indivisible resources and individuals have claims on each of these. (C) 2015 Elsevier Inc. All rights reserved.