Publications in Scientific Journals:

J. Chen, S. Grottke:
"Small one‑dimensional Euclidean preference profiles";
Social Choice and Welfare, 57 (2021), 117 - 144.

English 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 singlepeaked
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 singlecrossing
preference profiles that are not one-dimensional Euclidean consist of three
voters and six alternatives

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.