Arbeitspapier

The single-peaked domain revisited: A simple global characterization

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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.

Sprache
Englisch

Erschienen in
Series: KIT Working Paper Series in Economics ; No. 97

Klassifikation
Wirtschaft
Social Choice; Clubs; Committees; Associations
Noncooperative Games
Thema
social choice
restricted domains
Condorcet domains
single-peakedness
single-dippedness
majority voting
single-crossing property

Ereignis
Geistige Schöpfung
(wer)
Puppe, Clemens
Ereignis
Veröffentlichung
(wer)
Karlsruher Institut für Technologie (KIT), Institut für Volkswirtschaftslehre (ECON)
(wo)
Karlsruhe
(wann)
2016

DOI
doi:10.5445/IR/1000062015
Handle
URN
urn:nbn:de:swb:90-620151
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Puppe, Clemens
  • Karlsruher Institut für Technologie (KIT), Institut für Volkswirtschaftslehre (ECON)

Entstanden

  • 2016

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