Small one-dimensional Euclidean preference profiles

Jiehua Chen, Sven Grottke

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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
Volume57
Issue number1
DOIs
StatePublished - 1 Jul 2021
Externally publishedYes

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Economics and Econometrics

Fingerprint

Dive into the research topics of 'Small one-dimensional Euclidean preference profiles'. Together they form a unique fingerprint.

Cite this