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The single-peaked domain revisited: A simple global characterization

Puppe, Clemens

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.

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DOI: 10.5445/IR/1000062015
Zugehörige Institution(en) am KIT Institut für Volkswirtschaftslehre (ECON)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator ISSN: 2190-9806
KITopen-ID: 1000062015
Verlag KIT, Karlsruhe
Umfang 22 S.
Serie Working paper series in economics ; 97
Schlagworte Social choice, restricted domains, Condorcet domains, single-peakedness, single-dippedness, majority voting, single-crossing property
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