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A Characterization of Single-Peaked Preferences

Miguel Ballester () and Guillaume Haeringer ()

UFAE and IAE Working Papers from Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC)

Abstract: We identify in this paper two conditions that characterize the domain of single-peaked preferences on the line in the following sense: a preference profile satisfies these two properties if and only if there exists a linear order $L$ over the set of alternatives such that these preferences are single-peaked with respect L. The first property states that for any subset of alternatives the set of alternatives considered as the worst by all agents cannot contains more than 2 elements. The second property states that two agents cannot disagree on the relative ranking of two alternatives with respect to a third alternative but agree on the (relative) ranking of a fourth one.

Keywords: Single-peaked preferences; linear order. (search for similar items in EconPapers)
JEL-codes: D71 C78 (search for similar items in EconPapers)
Pages: 11
Date: 2006-01-25
New Economics Papers: this item is included in nep-dcm and nep-hpe
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Persistent link: https://EconPapers.repec.org/RePEc:aub:autbar:656.06

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