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 single-plateauedness 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.
|Date of creation:||2012|
|Date of revision:|
|Contact details of provider:|| Postal: CP 6128, Succ. Centre-Ville, Montréal, Québec, H3C 3J7|
Phone: (514) 343-6540
Fax: (514) 343-5831
Web page: http://www.sceco.umontreal.ca
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Dolors Berga & Bernardo Moreno, 2009.
"Strategic requirements with indifference: single-peaked versus single-plateaued preferences,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 275-298, February.
- Dolors Berga & Bernardo Moreno, 2008. "Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences," Working Papers 2008-7, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- Dolors Berga & Bernardo Moreno, 2007. "Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences," Working Papers 325, Barcelona Graduate School of Economics.
- BOSSERT, Walter & PETERS, Hans, 2006.
Cahiers de recherche
11-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 2006-14, Universite de Montreal, Departement de sciences economiques.
- Bossert, Walter & Peters, Hans, 2006. "Single-peaked choice," Research Memorandum 037, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- Inada, Ken-Ichi, 1969. "The Simple Majority Decision Rule," Econometrica, Econometric Society, vol. 37(3), pages 490-506, July.
- Berga, Dolors, 1998. "Strategy-proofness and single-plateaued preferences," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 105-120, March.
- Bossert, Walter & Suzumura, Kotaro, 2009.
"Consistency, Choice and Rationality,"
PIE/CIS Discussion Paper
428, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
- Miguel Ballester & Guillaume Haeringer, 2011. "A characterization of the single-peaked domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 305-322, February.
- Lars Ehlers, 2002. "Strategy-proof allocation when preferences are single-plateaued," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 105-115.
- Ehlers, Lars & Storcken, Ton, 2008. "Arrow's Possibility Theorem for one-dimensional single-peaked preferences," Games and Economic Behavior, Elsevier, vol. 64(2), pages 533-547, November.
- Dutta, Bhaskar & Peters, Hans & Sen, Arunava, 2002. "Strategy-Proof Probabilistic Mechanisms in Economies with Pure Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 392-416, October.
When requesting a correction, please mention this item's handle: RePEc:mtl:montde:2012-04. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sharon BREWER)
If references are entirely missing, you can add them using this form.