The single-peaked domain revisited: A simple global characterization

• 成果类型: Article
• 署名作者: Puppe, Clemens
• 署名单位: Helmholtz Association; Karlsruhe Institute of Technology
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2018.03.003
• 发表日期: 2018
• 页码: 55-80
• 关键词: Social choice; Restricted domains; Condorcet domains; Single-peakedness; Majority Voting; Single-crossing property

摘要

It is proved that, among all restricted preference domains that guarantee consistency (i.e. transitivity) of pairwise majority voting, the single-peaked domain is the only minimally rich and connected domain that contains two completely reversed strict preference orders. It is argued that this result explains the predominant role of single-peakedness as a domain restriction in models of political economy and elsewhere. The main result has a number of corollaries, among them a dual characterization of the single-dipped domain; it also implies that a single-crossing ('order-restricted') domain can be minimally rich only if it is a subdomain of a single-peaked domain. The conclusions are robust as the results apply both to domains of strict and of weak preference orders, respectively. (C) 2018 Elsevier Inc. All rights reserved.