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Minimum Total Deviation Apportionments

In: Mathematics and Democracy

Author

Listed:
  • Paul H. Edelman

    (Vanderbilt University)

Abstract

This note presents an algorithm for computing the minimum total deviation apportionment. Some properties of this apportionment are also explored. This particular apportionment arises from the jurisprudential concern that total deviation is the appropriate measure for the harm caused by malapportionment of the United States House of Representatives.

Suggested Citation

  • Paul H. Edelman, 2006. "Minimum Total Deviation Apportionments," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 55-64, Springer.
    • Handle: RePEc:spr:stcchp:978-3-540-35605-9_4
    DOI: 10.1007/3-540-35605-3_4
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    Citations

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    Cited by:

    1. Biró, Péter & Kóczy, László Á. & Sziklai, Balázs, 2015. "Fair apportionment in the view of the Venice Commission’s recommendation," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 32-41.
    2. Kóczy Á., László & Biró, Péter & Sziklai, Balázs, 2012. "Választókörzetek igazságosan? [Fair apportionment of voting districts in Hungary]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(11), pages 1165-1186.
    3. Balázs R Sziklai & Károly Héberger, 2020. "Apportionment and districting by Sum of Ranking Differences," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-20, March.
    4. Tom Van Puyenbroeck, 2008. "Proportional Representation, Gini Coefficients, and the Principle of Transfers," Journal of Theoretical Politics, , vol. 20(4), pages 498-526, October.
    5. Paul Edelman, 2015. "Voting power apportionments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(4), pages 911-925, April.
    6. Wada, Junichiro & Kamahara, Yuta, 2018. "Studying malapportionment using α-divergence," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 77-89.

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