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The one-dimensional Euclidean domain: Finitely many obstructions are not enough

arXiv 1506.03838 ↗First posted 11 Jun 2015cs.GTcited by 1

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Abstract (arXiv)

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.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 11 Jun 2015.

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  1. 2025Diversity of Structured Domains via k-Kemeny Scorescited by 2