IDEAS home Printed from https://ideas.repec.org/p/shf/wpaper/2025001.html
   My bibliography  Save this paper

Robust Equilibria In Generic Extensive-Form Games

Author

Listed:
  • Lucas Pahl

    (School of Economics, University of Sheffield, Sheffield S1 4DT, UK)

  • Carlos Pimienta

    (School Of Economics, The University of New South Wales, Sydney, Australia)

Abstract

We prove the 2-player, generic extensive-form case of the conjecture of Govindan and Wilson (1997a,b) and Hauk and Hurkens (2002) stating that an equilibrium component is essential in every equivalent game if and only if the index of the component is nonzero. This provides an index-theoretic characterization of the concept of hyperstable components of equilibria in generic extensive-form games, first formulated by Kohlberg and Mertens (1986). We also illustrate how to compute hyperstable equilibria in multiple economically relevant examples and show how the predictions of hyperstability compare with other solution concepts.

Suggested Citation

  • Lucas Pahl & Carlos Pimienta, 2025. "Robust Equilibria In Generic Extensive-Form Games," Working Papers 2025001, The University of Sheffield, Department of Economics.
    • Handle: RePEc:shf:wpaper:2025001
    as

    Download full text from publisher

    File URL: https://www.sheffield.ac.uk/economics/research/serps
    File Function: First version, January 2025
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Game Theory; Robustness of Equilibria; Fixed Point Theory; Index Theory;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:shf:wpaper:2025001. 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: Mike Crabtree (email available below). General contact details of provider: https://edirc.repec.org/data/desheuk.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.