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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.

Zugehörige Institution(en) am KIT Institut für Volkswirtschaftslehre (ECON)
Publikationstyp Forschungsbericht
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000062015
ISSN: 2190-9806
URN: urn:nbn:de:swb:90-620151
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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