IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/762165.html
   My bibliography  Save this article

Methods for Solving Generalized Nash Equilibrium

Author

Listed:
  • Biao Qu
  • Jing Zhao

Abstract

The generalized Nash equilibrium problem (GNEP) is an extension of the standard Nash equilibrium problem (NEP), in which each player's strategy set may depend on the rival player's strategies. In this paper, we present two descent type methods. The algorithms are based on a reformulation of the generalized Nash equilibrium using Nikaido-Isoda function as unconstrained optimization. We prove that our algorithms are globally convergent and the convergence analysis is not based on conditions guaranteeing that every stationary point of the optimization problem is a solution of the GNEP.

Suggested Citation

  • Biao Qu & Jing Zhao, 2013. "Methods for Solving Generalized Nash Equilibrium," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, February.
    • Handle: RePEc:hin:jnljam:762165
    DOI: 10.1155/2013/762165
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/762165.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/762165.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/762165?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
    ---><---

    Citations

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


    Cited by:

    1. Muhammad Imran & Samina Akhtar & Yuee Chen & Shabbir Ahmad, 2021. "Environmental Education and Women: Voices From Pakistan," SAGE Open, , vol. 11(2), pages 21582440211, April.
    2. Geneviève Robert, 2015. "Implementation of a process continuous improvement in the MSHS services [Mise en place d'une démarche d'amélioration continue dans les services de la Maison des Sciences de l'Homme et de la Société," Working Papers hal-01338880, HAL.
    3. Tao, Sui & Rohde, David & Corcoran, Jonathan, 2014. "Examining the spatial–temporal dynamics of bus passenger travel behaviour using smart card data and the flow-comap," Journal of Transport Geography, Elsevier, vol. 41(C), pages 21-36.

    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:hin:jnljam:762165. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.