Triple-consistent social choice and the majority rule

Gilbert Laffond () and Jean Lainé

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2014, vol. 22, issue 2, 784-799

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

Keywords: Majority rule; Triple-consistency; Multiple elections; Stable domains; Arrovian aggregation; 91B12; 91B14 (search for similar items in EconPapers)
Date: 2014
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Working Paper: Triple-Consistent Social Choice and the Majority Rule (2013)
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DOI: 10.1007/s11750-013-0300-1

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