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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
. 1976 Mar;73(3):684–686. doi: 10.1073/pnas.73.3.684

House monotone apportionment schemes

Garrett Birkhoff 1
PMCID: PMC335982  PMID: 16578744

Abstract

An empirical comparison is given of two schemes of Congressional apportionment: Huntington's generally accepted Equal Proportion scheme, and a new “house-monotone” Quota scheme. Evidence is given to show that Quota tends to underrepresent small states.

Keywords: integer programming, optimization

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