IDEAS home Printed from https://ideas.repec.org/p/siu/wpaper/25-2004.html
   My bibliography  Save this paper

On Measuring Influence in Non-Binary Voting Games

Author

Listed:
  • Vincent C H Chua

    (School of Economics and Social Sciences, Singapore Management University)

  • C H Ueng

    (Victoria Junior College)

Abstract

In this note, we demonstrate using two simple examples that generalization of the Banzhaf measure of voter influence to non-binary voting games that requires as starting position a voter’s membership in a winning coalition is likely to incompletely reflect the influence a voter has on the outcome of a game. Generalization of the Banzhaf measure that takes into consideration all possible pivot moves of a voter including those moves originating from a losing coalition will, on the other hand, result in a measure that is proportional to the Penrose measure only in the ternary case.

Suggested Citation

  • Vincent C H Chua & C H Ueng, 2004. "On Measuring Influence in Non-Binary Voting Games," Working Papers 25-2004, Singapore Management University, School of Economics.
    • Handle: RePEc:siu:wpaper:25-2004
    as

    Download full text from publisher

    File URL: https://mercury.smu.edu.sg/rsrchpubupload/5018/Measuring.pdf
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Penrose measure; Banzhaf index; ternary games; multicandidate weighted voting games;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:siu:wpaper:25-2004. 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: QL THor (email available below). General contact details of provider: https://edirc.repec.org/data/sesmusg.html .

    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.