The single-peaked domain revisited: A simple global characterization

Clemens Puppe ()

No 97, Working Paper Series in Economics from Karlsruhe Institute of Technology (KIT), Department of Economics and Management

Abstract: 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 do- main; 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.

Keywords: social choice; restricted domains; Condorcet domains; single-peakedness; single-dippedness; majority voting; single-crossing property (search for similar items in EconPapers)
JEL-codes: C72 D71 (search for similar items in EconPapers)
Date: 2016
New Economics Papers: this item is included in nep-gth, nep-mic and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Journal Article: The single-peaked domain revisited: A simple global characterization (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:kitwps:97

DOI: 10.5445/IR/1000062015

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