Single-Peaked Choice

Walter Bossert and Hans Peters

Cahiers de recherche from Centre interuniversitaire de recherche en économie quantitative, CIREQ

Abstract: Single-peaked preferences have played an important role in the literature ever since they were used by Black (1948) to formulate a domain restriction that is sufficient for the exclusion of cycles according to the majority rule. In this paper, we approach single-peakedness from a choice-theoretic perspective. We show that the well-known axiom independence of irrelevant alternatives (a form of contraction consistency) and a weak continuity requirement characterize a class of single-peaked choice functions. Moreover, we examine the rationalizability and the rationalizability-representability of these choice functions.

Keywords: Single-peakedness; choice functions; rationalizability; representability (search for similar items in EconPapers)
JEL-codes: D11 D71 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Journal Article: Single-peaked choice (2009)
Working Paper: Single-Peaked Choice (2006)
Working Paper: Single-peaked choice (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montec:11-2006

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