The Condorcet set: Majority voting over interconnected propositions
Judgement aggregation is a model of social choice in which the space of social alternatives is the set of consistent evaluations (views) on a family of logically interconnected propositions, or yes/no-issues. Yet, simply complying with the majority opinion in each issue often yields a logically inconsistent collection of judgements. Thus, we consider the Condorcet set: the set of logically consistent views which agree with the majority on a maximal set of issues. The elements of this set are exactly those that can be obtained through sequential majority voting, according to which issues are sequentially decided by simple majority unless earlier choices logically force the opposite decision. We investigate the size and structure of the Condorcet set - and hence the properties of sequential majority voting - for several important classes of judgement aggregation problems. While the Condorcet set verifies McKelvey's (1979) celebrated chaos theorem in a number of contexts, in others it is shown to be very regular and well-behaved.
|Date of creation:||2013|
|Contact details of provider:|| Web page: http://www.wiwi.kit.edu/|
More information through EDIRC
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.:
- I. Good, 1971. "A note on condorcet sets," Public Choice, Springer, vol. 10(1), pages 97-101, March.
- Pierre Barthelemy, Jean & Monjardet, Bernard, 1981. "The median procedure in cluster analysis and social choice theory," Mathematical Social Sciences, Elsevier, vol. 1(3), pages 235-267, May.
- Peter Fishburn & Ariel Rubinstein, 1986. "Aggregation of equivalence relations," Journal of Classification, Springer;The Classification Society, vol. 3(1), pages 61-65, March.
- Franz Dietrich & Christian List, 2010.
"Majority voting on restricted domains,"
LSE Research Online Documents on Economics
27902, London School of Economics and Political Science, LSE Library.
- Pivato, Marcus & Nehring, Klaus, 2010. "The McGarvey problem in judgement aggregation," MPRA Paper 22600, University Library of Munich, Germany.
- Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012.
"Separability and aggregation of equivalence relations,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
- Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2009. "Separability and aggregation of equivalence relations," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 09-06, Indian Statistical Institute, New Delhi, India.
- John Duggan, 2007. "A systematic approach to the construction of non-empty choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 491-506, April.
- Klaus Nehring & Marcus Pivato & Clemens Puppe, 2016.
"Unanimity overruled: Majority voting and the burden of history,"
Journal of Theoretical Politics,
SAGE Publishing, vol. 28(4), pages 552-597, October.
- Nehring, Klaus & Pivato, Marcus & Puppe, Clemens, 2013. "Unanimity overruled: Majority voting and the burden of history," Working Paper Series in Economics 50, Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering.
- List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
- McKelvey, Richard D, 1979. "General Conditions for Global Intransitivities in Formal Voting Models," Econometrica, Econometric Society, vol. 47(5), pages 1085-1112, September.
- Marcus Pivato, 2009. "Geometric models of consistent judgement aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 559-574, November.
- Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
When requesting a correction, please mention this item's handle: RePEc:zbw:kitwps:51. 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: (ZBW - German National Library of Economics)
If references are entirely missing, you can add them using this form.