AbstractSingle-plateaued preferences generalize single-peaked preferences by allowing for multiple bestelements. These preferences have played an important role in areas such as voting,strategy-proofness andmatching problems. We examine the notion of single-plateauedness in a choice-theoretic setting.Single-plateaued choice is characterized by means of a collinear interval continuity property inthe presence of independence of irrelevant alternatives. Further results establish that our notionof single-plateauedness conforms to the motivation underlying the term and we analyze theconsequences of alternative continuity properties. The importance of basic assumptions such asclosedness and convexity is discussed.
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Bibliographic InfoPaper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 026.
Date of creation: 2012
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Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
Other versions of this item:
- Walter Bossert & Hans Peters, 2012. "Single-Plateaued Choice," Cahiers de recherche 05-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BOSSERT, Walter & PETERS, Hans, 2012. "Single-plateaued choice," Cahiers de recherche 2012-04, Universite de Montreal, Departement de sciences economiques.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-06-05 (All new papers)
- NEP-CDM-2012-06-05 (Collective Decision-Making)
- NEP-GTH-2012-06-05 (Game Theory)
- NEP-MIC-2012-06-05 (Microeconomics)
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