A characterization of the single-peaked domain

Miguel A. Ballester, Guillaume Haeringer

Research output: Contribution to journalArticleResearchpeer-review

47 Citations (Scopus)

Abstract

We provide in this paper two properties that are both necessary and sufficient to characterize the domain of single-peaked preference profiles. This characterization allows for a definition of single-peaked preference profiles without using an ad hoc underlying order of the alternatives and also sheds light on the structure of single-peaked profiles. Considering the larger domain of value-restricted preference profiles (Sen, Econometrica 34:491-499, 1966) we also provide necessary and sufficient conditions for a preference profile to be single-caved or group-separable. Our results show that for single-peaked, single-caved and group-separable profiles it is sufficient to restrict to profiles containing of either three individuals and three alternatives or two individuals and four alternatives. © 2010 Springer-Verlag.
Original languageEnglish
Pages (from-to)305-322
JournalSocial Choice and Welfare
Volume36
DOIs
Publication statusPublished - 1 Jan 2011

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