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arXiv · 1506.03838

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

Jiehua Chen·Kirk Pruhs·Gerhard J. Woeginger
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Abstract

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.

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Jiehua Chen, Kirk Pruhs, Gerhard J. Woeginger. 2015-06-11. The one-dimensional Euclidean domain: Finitely many obstructions are not enough. https://arxiv.org/abs/1506.03838

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