Top monotonicity: A common root for single peakedness, single crossing and the median voter result
AbstractWhen members of a voting body exhibit single peaked preferences, pair-wise majority voting equilibria (Condorcet winners) always exist. Moreover, they coincide with the median(s) of the votersʼ most preferred alternatives. This important fact is known as the median voter result. Variants of it also apply when single-peakedness fails, but preferences verify other domain restrictions, such as single-crossing, intermediateness or order restriction. Austen-Smith and Banks (1999) also proved that the result holds under single-peakedness, for a wide class of voting rules that includes the majority rule as a special case, and conveniently redefined versions of a median. We extend and unify previous results. We propose a new domain condition, called top monotonicity, which encompasses all previous domains restrictions, allows for new ones and preserves a version of the median voter result for a large class of voting rules. We also show that top monotonicity arises in interesting economic environments.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 73 (2011)
Issue (Month): 2 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Single peaked; Single crossing and intermediate preferences; Majority (Condorcet) winners;
Other versions of this item:
- Salvador Barberà & Bernardo Moreno, 2007. "Top monotonicity: A common root for single peakedness, single crossing and the median voter result," Working Papers 297, Barcelona Graduate School of Economics.
- Salvador Barberà & Bernardo Moreno, 2008. "Top Monotonicity: A Common Root for Single Peakedness, Single Crossing and the Median Voter Result," Working Papers 2008-9, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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.:
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March.
- Milgrom, P. & Shannon, C., 1991.
"Monotone Comparative Statics,"
11, Stanford - Institute for Thoretical Economics.
- Miguel Ballester & Guillaume Haeringer, 2011. "A characterization of the single-peaked domain," Social Choice and Welfare, Springer, vol. 36(2), pages 305-322, February.
- David Cantala, 2004. "Choosing the level of a public good when agents have an outside option," Social Choice and Welfare, Springer, vol. 22(3), pages 491-514, 06.
- Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
- Stiglitz, J. E., 1974. "The demand for education in public and private school systems," Journal of Public Economics, Elsevier, vol. 3(4), pages 349-385, November.
- Epple, Dennis & Romano, Richard E., 1996. "Ends against the middle: Determining public service provision when there are private alternatives," Journal of Public Economics, Elsevier, vol. 62(3), pages 297-325, November.
- Islam, Jamal & Mohajan, Haradhan & Moolio, Pahlaj, 2010. "Median voter model cannot solve all the problems of voting system," MPRA Paper 50696, University Library of Munich, Germany, revised 22 Feb 2011.
- Mridu Prabal Goswami, 2013. "Non Fixed-Price Trading Rules In Single-Crossing Classical Exchange Economies," Working Papers 1311, Ben-Gurion University of the Negev, Department of Economics.
- Gabrielle Demange, 2012.
"Majority relation and median representative ordering,"
Spanish Economic Association, vol. 3(1), pages 95-109, March.
- Gabrielle Demange, 2011. "Majority relation and median representative ordering," PSE Working Papers halshs-00581310, HAL.
- Robert Bredereck & Jiehua Chen & Gerhard Woeginger, 2013. "A characterization of the single-crossing domain," Social Choice and Welfare, Springer, vol. 41(4), pages 989-998, October.
- Konstantin Sonin & Georgy Egorov & Daron Acemoglu, 2008.
"Dynamics and Stability of Constitutions, Coalitions and Clubs,"
2008 Meeting Papers
314, Society for Economic Dynamics.
- Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2012. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," American Economic Review, American Economic Association, vol. 102(4), pages 1446-76, June.
- Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2008. "Dynamics and Stability of Constitutions, Coalitions, and Clubs," NBER Working Papers 14239, National Bureau of Economic Research, Inc.
- Gabrielle Demange, 2011. "Majority relation and median representative ordering," Working Papers halshs-00581310, HAL.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.