IDEAS home Printed from https://ideas.repec.org/p/wrk/warwec/325.html
   My bibliography  Save this paper

Power Indices And Probabilistic Voting Assumptions

Author

Listed:
  • LEECH, D.

Abstract

This paper compares the theoretical bases of the Shapley-Shubik and Banzhaf indices of voting power for a legislature with weighted voting. Definitions based on probabilistic-voting assumptions, useful both as behavioral descriptions and for computation in empirical applications, are compared in terms of necessary and sufficient conditions on the choice of voting probabilities. It is shown that the Shapley-Shubik index requires stronger conditions than the Banzhaf index : the former that voting probabilities be chosen by all players from a common uniform distribution on the unit interval, the latter only that voting probabilities be selected independently from any set of distributions (on the unit interval) which have a common mean of 1/2. This result haS a bearing on the theoretical criteria by which one may choose between the two indices in a voting context.

Suggested Citation

  • Leech, D., 1989. "Power Indices And Probabilistic Voting Assumptions," The Warwick Economics Research Paper Series (TWERPS) 325, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:325
    as

    Download full text from publisher

    File URL: https://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/1989-1994/twerp325.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Harrison, M., 1989. "Soviet National Income And The Burden Of Defence, 1937 And 1940-1944," The Warwick Economics Research Paper Series (TWERPS) 320, University of Warwick, Department of Economics.
    2. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    3. Harrison, M., 1989. "Total Output And The Productivity Of Labour In Soviet Industry, 1940-1945," The Warwick Economics Research Paper Series (TWERPS) 319, University of Warwick, Department of Economics.
    4. Miller, M. & Weller, P. & Williamson, J., 1989. "The Stabilizing Properties Of Target Zones," The Warwick Economics Research Paper Series (TWERPS) 318, University of Warwick, Department of Economics.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mika WidgrÚn, 2002. "On the Probablistic Relationship between the Public Good Index and the Normalized Bannzhaf Index," Homo Oeconomicus, Institute of SocioEconomics, vol. 19, pages 373-386.
    2. Dan Felsenthal & Moshé Machover & William Zwicker, 1998. "The Bicameral Postulates and Indices of a Priori Voting Power," Theory and Decision, Springer, vol. 44(1), pages 83-116, January.
    3. Sutter, Matthias, 2000. "Flexible Integration, EMU and Relative Voting Power in the EU," Public Choice, Springer, vol. 104(1-2), pages 41-62, July.

    More about this item

    Keywords

    voting ; social behaviour ; probability;

    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:wrk:warwec:325. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Margaret Nash). General contact details of provider: http://edirc.repec.org/data/dewaruk.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.