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

Social Choice and Welfare, Volume abs/1506.03838, Issue 2, 2017, Pages 409-432.

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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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