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Related Experiment Videos

House monotone apportionment schemes.

G Birkhoff1

  • 1Mathematics Department, Harvard University, Cambridge, Massachusetts 02138.

Proceedings of the National Academy of Sciences of the United States of America
|March 1, 1976
PubMed
Summary

The study compares Huntington's Equal Proportion scheme with the new Quota scheme for congressional apportionment. Results indicate the Quota scheme may underrepresent smaller states.

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Area of Science:

  • Political Science
  • Mathematics
  • Statistics

Background:

  • Congressional apportionment determines the number of representatives each state receives in the U.S. House of Representatives.
  • Existing methods like Huntington's Equal Proportion scheme aim for fair representation but can have limitations.

Purpose of the Study:

  • To empirically compare Huntington's Equal Proportion scheme with a novel "house-monotone" Quota scheme.
  • To assess the representational impact of the Quota scheme, particularly concerning small states.

Main Methods:

  • Comparative analysis of two congressional apportionment schemes.
  • Empirical evaluation of state representation under each scheme.

Main Results:

  • The Quota scheme demonstrates a tendency to underrepresent small states.
  • The Equal Proportion scheme, while widely accepted, is contrasted with the performance of the new Quota scheme.

Conclusions:

  • The Quota scheme's potential to underrepresent small states warrants further investigation.
  • Apportionment methods significantly impact state representation and require careful consideration.

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