Social Choice and Welfare

, Volume 38, Issue 1, pp 101–108 | Cite as

An extension of McGarvey’s theorem from the perspective of the plurality collective choice mechanism

  • Lee R. GibsonEmail author
  • Robert C. Powers
Original Paper


In 1953, David McGarvey showed that if the number of voters is unrestricted, then the set of outputs obtained from majority rule is a very general class of binary relations. We will present an extension of McGarvey’s Theorem based on the plurality collective choice mechanism.


Binary Relation Linear Order Social Choice Majority Rule Nonempty Subset 
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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LouisvilleLouisvilleUSA

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