IDEAS home Printed from https://ideas.repec.org/h/spr/stcchp/978-3-319-05158-1_13.html
   My bibliography  Save this book chapter

Banzhaf–Coleman and Shapley–Shubik Indices in Games with a Coalition Structure: A Special Case Study

In: Voting Power and Procedures

Author

Listed:
  • Maria Ekes

    (Warsaw School of Economics)

Abstract

In the paper we deal with the comparison of the Shapley–Shubik index and Banzhaf–Coleman index in games with a coalition structure. We analyze two possible approaches in both cases: we calculate voters’ power in a composite game or we apply the modification of original indices proposed by Owen for games with a priori unions. The behavior of both indices is compared basing on the voting game with 100 voters and different coalition structures. We analyze changes of power (measured by means of BC index and SS index) implied by changes of the size and composition of coalition structures as well as by different methodology of measuring the voters’ power (composite game versus game with a priori unions).

Suggested Citation

  • Maria Ekes, 2014. "Banzhaf–Coleman and Shapley–Shubik Indices in Games with a Coalition Structure: A Special Case Study," Studies in Choice and Welfare, in: Rudolf Fara & Dennis Leech & Maurice Salles (ed.), Voting Power and Procedures, edition 127, pages 221-246, Springer.
    • Handle: RePEc:spr:stcchp:978-3-319-05158-1_13
    DOI: 10.1007/978-3-319-05158-1_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:stcchp:978-3-319-05158-1_13. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.