IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v19y2017i02ns0219198917500037.html
   My bibliography  Save this article

On Maximal Vector Spaces of Finite Noncooperative Games

Author

Listed:
  • Victoria Kreps

    (National Research University Higher, School of Economics 3 Kantemorovkaya st., St. Petersburg, Russia2St.Petersburg Institute for Economics and Mathematics, RAS, 38 Serpuhovkaya st., St. Petersburg, Russia)

Abstract

We consider finite noncooperative N person games with fixed numbers mi, i = 1,…,N, of pure strategies of Player i. We propose the following question: is it possible to extend the vector space of finite noncooperative (m1 × m2 ×⋯ × mN)-games in mixed strategies such that all games of a broader vector space of noncooperative N person games on the product of unit (mi − 1)-dimensional simplices have Nash equilibrium points? We get a necessary and sufficient condition for the negative answer. This condition consists of a relation between the numbers of pure strategies of the players. For two-person games the condition is that the numbers of pure strategies of the both players are equal.

Suggested Citation

  • Victoria Kreps, 2017. "On Maximal Vector Spaces of Finite Noncooperative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 1-7, June.
    • Handle: RePEc:wsi:igtrxx:v:19:y:2017:i:02:n:s0219198917500037
    DOI: 10.1142/S0219198917500037
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198917500037
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219198917500037?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Anna Bogomolnaia & Misha Gavrilovich & Egor Ianovski & Galina Lyapunova & Hervé Moulin & Alexander Nesterov & Marina Sandomirskaia & Fedor Sandomirskiy & Elena Yanovskaya, 2021. "In memory of Victoria Kreps (3 September 1945–3 March 2021)," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 597-601, September.

    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:wsi:igtrxx:v:19:y:2017:i:02:n:s0219198917500037. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.