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Triple-Consistent Social Choice and the Majority Rule

Author Info

Listed author(s):
  • Gilbert Laffond

    ()

    (Laboratoire d'Econometrie, LIRSA)

  • Jean Laine

    ()

    (Murat Sertel Center for Advanced Economic Studies,Istanbul Bilgi University)

Abstract

We define generalized (preference) domains D as subsets of the hypercube {− 1, 1 } D , where each of the D coordinates relates to a yes-no issue. Given a finite set of n individuals, a profile assigns each individual to an element of D . We prove that the outcome of issue-wise majority voting ϕ m belongs to D at any profile where ϕ m is well-defined if and only if this is true when ϕ m is applied to any profile involving only 3 elements of D . We call this property triple-consistency. We characterize the class of anonymous issue-wise voting rules that are triple-consistent, and give several interpretations of the result, each being related to a specific collective choice problem.

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File URL: http://repeck.bilgi.edu.tr/RePEc/msc/wpaper/mscenter_2013_12_TripleCons.pdf
File Function: First version, 2013
Download Restriction: no

Paper provided by Murat Sertel Center for Advanced Economic Studies, Istanbul Bilgi University in its series Working Papers with number 201303.

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Length: 12 pages
Date of creation: Mar 2013
Handle: RePEc:msc:wpaper:201303
Contact details of provider: Web page: http://mscenter.bilgi.edu.tr

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Keywords: Majority Rule; Triple Consistency; Multiple Elections; Stable Domains; Arrowian Aggregation;

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