IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v44y2015i4p911-925.html
   My bibliography  Save this article

Voting power apportionments

Author

Listed:
  • Paul Edelman

Abstract

I propose apportioning the United States House of Representatives so as to equalize, to the extent possible, the voting power of the individual voter. Surprisingly such an apportionment falls squarely within the traditional apportionment paradigm and is, in a very precise sense, midway between the Hill method and the Webster method of apportionment. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:44:y:2015:i:4:p:911-925
    DOI: 10.1007/s00355-015-0869-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00355-015-0869-4
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00355-015-0869-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    2. 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.
    3. Oscar R. Burt & Curtis C. Harris, 1963. "Letter to the Editor---Apportionment of the U.S. House of Representatives: A Minimum Range, Integer Solution, Allocation Problem," Operations Research, INFORMS, vol. 11(4), pages 648-652, August.
    4. Friedrich Pukelsheim & Albert W. Marshall & Ingram Olkin, 2002. "A majorization comparison of apportionment methods in proportional representation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 885-900.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. 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.
    4. Laszlo A. Koczy & Balazs Sziklai, 2018. "Bounds on Malapportionment," CERS-IE WORKING PAPERS 1801, Institute of Economics, Centre for Economic and Regional Studies.
    5. Tom Van Puyenbroeck, 2008. "Proportional Representation, Gini Coefficients, and the Principle of Transfers," Journal of Theoretical Politics, , vol. 20(4), pages 498-526, October.
    6. Monisankar Bishnu & Sonali Roy, 2012. "Hierarchy of players in swap robust voting games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 11-22, January.
    7. Zaporozhets, Vera & García-Valiñas, María & Kurz, Sascha, 2016. "Key drivers of EU budget allocation: Does power matter?," European Journal of Political Economy, Elsevier, vol. 43(C), pages 57-70.
    8. Grabisch, Michel & Rusinowska, Agnieszka, 2011. "Influence functions, followers and command games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 123-138, May.
    9. Le Breton, Michel & Montero, Maria & Zaporozhets, Vera, 2012. "Voting power in the EU council of ministers and fair decision making in distributive politics," Mathematical Social Sciences, Elsevier, vol. 63(2), pages 159-173.
    10. Wada, Junichiro & Kamahara, Yuta, 2018. "Studying malapportionment using α-divergence," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 77-89.
    11. Serguei Kaniovski, 2008. "The exact bias of the Banzhaf measure of power when votes are neither equiprobable nor independent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 281-300, August.
    12. Frédéric Bobay, 2001. "La réforme du Conseil de l'Union européenne à partir de la théorie des jeux," Revue Française d'Économie, Programme National Persée, vol. 16(2), pages 3-61.
    13. Federico Valenciano & Annick Laruelle & Ricardo Martínez, 2004. "On The Difficulty Of Making Decisions Within The Eu-25," Working Papers. Serie AD 2004-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    14. Rana Barua & Satya R. Chakravarty & Sonali Roy, 2009. "A Note On The Carreras-Coleman Decisiveness Index," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 237-245.
    15. Felsenthal, Dan S. & Machover, Moshe, 1999. "Minimizing the mean majority deficit: The second square-root rule," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 25-37, January.
    16. Sébastien Courtin & Zéphirin Nganmeni & Bertrand Tchantcho, 2016. "The Shapley–Shubik power index for dichotomous multi-type games," Theory and Decision, Springer, vol. 81(3), pages 413-426, September.
    17. Manfred Holler & Rie Ono & Frank Steffen, 2001. "Constrained Monotonicity and the Measurement of Power," Theory and Decision, Springer, vol. 50(4), pages 383-395, June.
    18. Yukio Koriyama & Jean-François Laslier & Antonin Macé & Rafael Treibich, 2013. "Optimal Apportionment," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 584-608.
    19. Leech, Dennis & Leech, Robert, 2004. "Voting Power in the Bretton Woods Institutions," The Warwick Economics Research Paper Series (TWERPS) 718, University of Warwick, Department of Economics.
    20. Dubey, Pradeep & Einy, Ezra & Haimanko, Ori, 2005. "Compound voting and the Banzhaf index," Games and Economic Behavior, Elsevier, vol. 51(1), pages 20-30, April.

    More about this item

    Keywords

    91B12;

    JEL classification:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:44:y:2015:i:4:p:911-925. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.