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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 Nov;71(11):4602–4606. doi: 10.1073/pnas.71.11.4602

A New Method for Congressional Apportionment

M L Balinski 1, H P Young 1
PMCID: PMC433936  PMID: 16592200

Abstract

The problem of Congressional apportionment is explained together with a brief history of the methods used or considered for its solution. Reasons are given for rejecting the presently used method of equal proportions and for accepting a new method, the quota method, which is the unique method satisfying three essential axioms.

Keywords: Congress, representation, fair division, U.S. Constitution

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Huntington E. V. The Mathematical Theory of the Apportionment of Representatives. Proc Natl Acad Sci U S A. 1921 Apr;7(4):123–127. doi: 10.1073/pnas.7.4.123. [DOI] [PMC free article] [PubMed] [Google Scholar]

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