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research article : Majority cycles in a multi-dimensional setting

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Author Info
Laurent Vidu (G.E.M.M.A. - C.R.E.M.E. Université de Caen, 14032 Caen Cedex, FRANCE)

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Abstract

We consider a set of alternatives (electoral platforms, bills, etc. ...) defined as a Cartesian product of k finite discrete sets. We assume that the preferences of the individuals (voters) are marginally single-peaked and separable. The main result of this paper states that the pairwise majority relation satisfies these two properties but that it might exhibit several cycles. This result is important when related to classical problems of multi-dimensional decisions such as logrolling and vote trading. We relate our result with a continuous version of it (McKelvey, 1976).

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 20 (2002)
Issue (Month): 2 ()
Pages: 373-386
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Handle: RePEc:spr:joecth:v:20:y:2002:i:2:p:373-386

Note: Received: March 21, 2000; revised version: April 12, 2001
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Related research
Keywords: Majority cycles; Multi-dimensionnal vote; Logrolling and vote trading; McGarvey's theorem.;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D7 - Microeconomics - - Analysis of Collective Decision-Making

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This page was last updated on 2009-12-30.

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