Published March 1970
| Published
Journal Article
Open
The Probability of a Cyclical Majority
- Creators
- DeMeyer, Frank
-
Plott, Charles R.
Abstract
Consider a committee or society attempting to order the alternatives (X_1, X_2, X_3) by use of majority rule. Each individual is assumed to have a strong ordering (called a profile) on the alternatives. "Indifference" is not a property of the profiles. The committee is said to "prefer" X_i to X_j, denoted X_iCX_j if X_i is preferred to X_j on a majority of the individual profiles. It is well known that if certain individual profiles are chosen, the resulting "social ordering" may be cyclical, i.e., X_iCX_j, X_jCX_k, X_kCX_i. Such a result is called a "cycle."
Additional Information
© 1970 The Econometric Society. Manuscript received April, 1967; revision received November, 1968. This paper was delivered at the meeting of the Econometric Society, Chicago, 1966. The material in Section 2 has been treated independently in two papers published since the writing of this paper [5, 10]. The authors wish to thank Otto Davis, Morton Kamien, and David Klahr for their comments and suggestions.Attached Files
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Additional details
- Eprint ID
- 43095
- Resolver ID
- CaltechAUTHORS:20131219-111406511
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2013-12-20Created from EPrint's datestamp field
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2019-10-03Created from EPrint's last_modified field