Majority relation and median representative ordering
AbstractThis paper presents results on the transitivity of the majority relation and the existence of a median representative ordering. Building on the notion of intermediate preferences indexed by a median graph, the analysis extends well-known results obtained when the underlying graph is a line. In contrast with other types of restrictions such as single-peakedness, intermediate preferences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives.
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.
Bibliographic InfoPaper provided by HAL in its series PSE Working Papers with number halshs-00581310.
Date of creation: Mar 2011
Date of revision:
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00581310
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/
majority rule ; median graph ; tree ; Condorcet winner ; intermediate preferences;
Other versions of this item:
- Gabrielle Demange, 2012. "Majority relation and median representative ordering," SERIEs, Spanish Economic Association, Spanish Economic Association, vol. 3(1), pages 95-109, March.
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-09 (All new papers)
- NEP-CDM-2011-04-09 (Collective Decision-Making)
- NEP-POL-2011-04-09 (Positive Political Economics)
- NEP-UPT-2011-04-09 (Utility Models & Prospect Theory)
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.:
- Salvador Barberà & Bernardo Moreno, 2008.
"Top Monotonicity: A Common Root for Single Peakedness, Single Crossing and the Median Voter Result,"
Working Papers, Universidad de MÃ¡laga, Department of Economic Theory, MÃ¡laga Economic Theory Research Center
2008-9, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- Barberà, Salvador & Moreno, Bernardo, 2011. "Top monotonicity: A common root for single peakedness, single crossing and the median voter result," Games and Economic Behavior, Elsevier, Elsevier, vol. 73(2), pages 345-359.
- Salvador Barberà & Bernardo Moreno, 2010. "Top monotonicity: A common root for single peakedness, single crossing and the median voter result," Working Papers 297, Barcelona Graduate School of Economics.
- Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, Elsevier, vol. 135(1), pages 269-305, July.
- Demange, G., 1991.
"Intermediate Preferences and Stable Coalition Structures,"
DELTA Working Papers, DELTA (Ecole normale supÃ©rieure)
91-16, DELTA (Ecole normale supérieure).
- Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
- Hansen, Pierre & Thisse, Jacques-Francois, 1981. "Outcomes of voting and planning : Condorcet, Weber and Rawls locations," Journal of Public Economics, Elsevier, Elsevier, vol. 16(1), pages 1-15, August.
- Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, Elsevier, vol. 3(4), pages 389-396, December.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, Springer, vol. 35(4), pages 437-455, January.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, Econometric Society, vol. 46(2), pages 317-30, March.
- Bandelt, Hans-Jurgen, 1985. "Networks with condorcet solutions," European Journal of Operational Research, Elsevier, Elsevier, vol. 20(3), pages 314-326, June.
- Berno Buechel, 2014.
"Condorcet winners on median spaces,"
Social Choice and Welfare, Springer,
Springer, vol. 42(3), pages 735-750, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD).
If references are entirely missing, you can add them using this form.