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A Characterization of Single-Peaked Preferences

Guillaume Haeringer and Miguel Ballester

No 273, Working Papers from Barcelona School of Economics

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; lineal order (search for similar items in EconPapers)
JEL-codes: C78 D71 (search for similar items in EconPapers)
Date: 2015-09
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Working Paper: A Characterization of Single-Peaked Preferences (2006) Downloads
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