Single-Peaked Choice

Walter Bossert () and Hans PETERS

Cahiers de recherche from Universite de Montreal, Departement de sciences economiques

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-akedness; choice functions; rationalizability; reesentability (search for similar items in EconPapers)
JEL-codes: D11 D71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-cdm, nep-dcm and nep-upt
Date: 2006
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http://hdl.handle.net/1866/2151 (application/pdf)

Related works:
Working Paper: Single-peaked choice (2006)
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