Small one-dimensional Euclidean preference profiles

Jiehua Chen, Sven Grottke

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We characterize one-dimensional Euclidean preference profiles with a small number of alternatives and voters. We show that every single-peaked preference profile with two voters is one-dimensional Euclidean, and that every preference profile with up to five alternatives is one-dimensional Euclidean if and only if it is both single-peaked and single-crossing. By the work of Chen et al. (Social Choice and Welfare 48(2):409–432, 2017), we thus obtain that the smallest single-peaked and single-crossing preference profiles that are not one-dimensional Euclidean consist of three voters and six alternatives.

Original languageEnglish
Pages (from-to)117-144
Number of pages28
JournalSocial Choice and Welfare
Issue number1
StatePublished - 1 Jul 2021
Externally publishedYes

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Economics and Econometrics


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