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

Jiehua Chen; Kirk R. Pruhs; Gerhard J. Woeginger

doi:10.1007/s00355-016-1011-y

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

Jiehua Chen, Kirk R. Pruhs, Gerhard J. Woeginger

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Pages (from-to)	409-432
Number of pages	24
Journal	Social Choice and Welfare
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s00355-016-1011-y
State	Published - 1 Feb 2017
Externally published	Yes

ASJC Scopus subject areas

Social Sciences (miscellaneous)
Economics and Econometrics

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title = "The one-dimensional Euclidean domain: finitely many obstructions are not enough",

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.",

author = "Jiehua Chen and Pruhs, {Kirk R.} and Woeginger, {Gerhard J.}",

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AU - Pruhs, Kirk R.

AU - Woeginger, Gerhard J.

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N2 - 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.

AB - 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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JO - Social Choice and Welfare

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

Abstract

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