IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2310.01528.html
   My bibliography  Save this paper

A new proof for the existence of Nash equilibrium

Author

Listed:
  • Davide Carpentiere
  • Stephen Watson

Abstract

We present a new proof for the existence of a Nash equilibrium, which involves no fixed point theorem. The self-contained proof consists of two parts. The first part introduces the notions of root function and pre-equilibrium. The second part shows the existence of pre-equilibria and Nash equilibria.

Suggested Citation

  • Davide Carpentiere & Stephen Watson, 2023. "A new proof for the existence of Nash equilibrium," Papers 2310.01528, arXiv.org.
    • Handle: RePEc:arx:papers:2310.01528
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2310.01528
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andrew McLennan & Rabee Tourky, 2008. "Using volume to prove Sperner’s Lemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 593-597, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yakar Kannai, 2013. "Using oriented volume to prove Sperner’s lemma," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 11-19, May.
    2. Velez, Rodrigo A., 2016. "Fairness and externalities," Theoretical Economics, Econometric Society, vol. 11(1), January.

    More about this item

    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:arx:papers:2310.01528. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.