IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i11p2492-d1158238.html
   My bibliography  Save this article

Evolutionary Stable Strategies in Multistage Games

Author

Listed:
  • Leon A. Petrosyan

    (Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Universitetskii Prospekt 35, 198504 St. Petersburg, Russia)

  • Xiuxiu Liu

    (Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Universitetskii Prospekt 35, 198504 St. Petersburg, Russia)

Abstract

Direct ESS has some disadvantages, which are seen even in the case of repeated games when the sequence of stage ESSs may not constitute the direct ESS in the repeated game. We present here the refinement of the ESS definition, which eliminates these disadvantages and represents the base for the definition of ESS in games in extensive form. The effectiveness of this approach for multistage n -person games is shown for metagame (this notion is used for the first time), in which under some relevant conditions, the existence of ESS is proved, and ESSs are constructed using threat strategies.

Suggested Citation

  • Leon A. Petrosyan & Xiuxiu Liu, 2023. "Evolutionary Stable Strategies in Multistage Games," Mathematics, MDPI, vol. 11(11), pages 1-9, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2492-:d:1158238
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/11/2492/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/11/2492/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:11:p:2492-:d:1158238. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.