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The Probability of a Cyclical Majority

DeMeyer, Frank and Plott, Charles R. (1970) The Probability of a Cyclical Majority. Econometrica, 38 (2). pp. 345-354. ISSN 1468-0262.

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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."

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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.
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Official Citation:The Probability of a Cyclical Majority Frank DeMeyer and Charles R. Plott Econometrica , Vol. 38, No. 2 (Mar., 1970) , pp. 345-354 Published by: The Econometric Society Article Stable URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43095
Deposited By: Susan Vite
Deposited On:20 Dec 2013 16:13
Last Modified:03 Oct 2019 06:04

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