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Triple-consistent social choice and the majority rule

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  • Gilbert Laffond
  • Jean Lainé

Abstract

We define generalized (preference) domains $\mathcal{D}$ 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 $\mathcal{D}$ . We prove that, for any domain $\mathcal{D}$ , the outcome of issue-wise majority voting φ m belongs to $\mathcal{D}$ 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 $\mathcal{D}$ . 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. Copyright Sociedad de Estadística e Investigación Operativa 2014

Suggested Citation

  • Gilbert Laffond & Jean Lainé, 2014. "Triple-consistent social choice and the majority rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 784-799, July.
  • Handle: RePEc:spr:topjnl:v:22:y:2014:i:2:p:784-799
    DOI: 10.1007/s11750-013-0300-1
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