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)
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)
New Economics Papers: this item is included in nep-dcm and nep-hpe
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Working Paper: A Characterization of Single-Peaked Preferences (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:aub:autbar:656.06
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