IDEAS home Printed from https://ideas.repec.org/a/cup/apsrev/v69y1975i03p943-946_24.html
   My bibliography  Save this article

The Instability of Minimum Winning Coalitions

Author

Listed:
  • Frohlich, Norman

Abstract

This paper examines William Riker's thesis that only minimum winning coalitions form in n-person zero-sum symmetric games. It demonstrates that Riker's conclusion is false by identifying the conditions under which larger than minimum winning coalitions can form. Since these conditions are quite general it indicates that Riker's conclusion is valid only for a highly restricted class of games. This class of games is identified as those in which players not in a minimum winning coalition have no incentive to form any coalitions among themselves. These games are characterized as games inessential over coalitions of losers. Only in these games can minimum winning coalitions be expected to form exclusively. In all other games, larger than minimum winning coalitions are possible.

Suggested Citation

  • Frohlich, Norman, 1975. "The Instability of Minimum Winning Coalitions," American Political Science Review, Cambridge University Press, vol. 69(3), pages 943-946, September.
    • Handle: RePEc:cup:apsrev:v:69:y:1975:i:03:p:943-946_24
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0003055400243815/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Braham, Matthew & Steffen, Frank, 2002. "Voting rules in insolvency law: a simple-game theoretic approach," International Review of Law and Economics, Elsevier, vol. 22(4), pages 421-442, December.
    2. Peter J. Boettke & Henry A. Thompson, 2022. "Identity and off-diagonals: how permanent winning coalitions destroy democratic governance," Public Choice, Springer, vol. 191(3), pages 483-499, June.

    More about this item

    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:cup:apsrev:v:69:y:1975:i:03:p:943-946_24. 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/psr .

    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.