Single-Plateaued Choice

Walter Bossert and Hans Peters

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

Abstract: Single-plateaued preferences generalize single-peaked preferences by allowing for multiple best elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of singleplateauedness in a choice-theoretic setting. Single-plateaued choice is characterized by means of a collinear interval continuity property in the presence of independence of irrelevant alternatives. Further results establish that our notion of single-plateauedness conforms to the motivation underlying the term and we analyze the consequences of alternative continuity properties. The importance of basic assumptions such as closedness and convexity is discussed.

Keywords: Single-plateauedness; choice correspondences; independence of irrelevant alternatives; continuity (search for similar items in EconPapers)
JEL-codes: D11 D71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2012
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Related works:
Journal Article: Single-plateaued choice (2013)
Working Paper: Single-plateaued choice (2012)
Working Paper: Single-plateaued choice (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:mtl:montec:05-2012

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