The one-dimensional Euclidean domain: Finitely many obstructions are not enough
Jiehua Chen, Kirk R. Pruhs, Gerhard J. Woeginger · arXiv (Cornell University) · 2015
We show that one-dimensional Euclidean preference profiles can not be characterized in terms of finitely many forbidden substructures. This result is in strong contrast to the case of single-peaked and single-crossing preference profiles, for which such finite characterizations have been derived in the literature.