IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01214664.html
   My bibliography  Save this paper

A Fibonacci Approach to Weighted Majority Games

Author

Listed:
  • Flavio Pressacco

    (DIES - DIES - Dept. of Economics and Statistics - Università degli Studi di Udine - University of Udine [Italie])

  • Laura Ziani

    (DIES - DIES - Dept. of Economics and Statistics - Università degli Studi di Udine - University of Udine [Italie])

Abstract

We define Fibonacci games as the subset of constant sum homogeneous weighted majority games whose increasing sequence of all type weights and the minimal winning quota is a string of consecutive Fibonacci numbers. Exploiting properties of the Fibonacci sequence, we obtain closed form results able to provide a simple and insightful classification and characterization of such games.

Suggested Citation

  • Flavio Pressacco & Laura Ziani, 2015. "A Fibonacci Approach to Weighted Majority Games," Working Papers hal-01214664, HAL.
    • Handle: RePEc:hal:wpaper:hal-01214664
    Note: View the original document on HAL open archive server: https://hal.science/hal-01214664
    as

    Download full text from publisher

    File URL: https://hal.science/hal-01214664/document
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Flavio Pressacco & Laura Ziani, 2018. "Proper strong-Fibonacci games," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 489-529, November.

    More about this item

    Keywords

    Weighted majority games; homogeneous representation; minimal winning coalition; type weight vector; satellite games; Fibonacci numbers.;
    All these keywords.

    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:hal:wpaper:hal-01214664. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.