IDEAS home Printed from https://ideas.repec.org/p/biu/wpaper/2013-03.html
   My bibliography  Save this paper

Schedulers, Potentials and Weak Potentials in Weakly Acyclic Games

Author

Listed:
  • Igal Milchtaich

    () (Bar-Ilan University)

Abstract

In a number of large, important families of finite games, not only do pure-strategy Nash equilibria always exist but they are also reachable from any initial strategy profile by some sequence of myopic single-player moves to a better or best-response strategy. This weak acyclicity property is shared, for example, by all perfect-information extensive-form games, which are generally not acyclic since even sequences of best-improvement steps may cycle. Weak acyclicity is equivalent to the existence of weak potential, which unlike a potential increases along some rather than every sequence as above, as well as to the existence of an acyclic scheduler, which guarantees convergence to equilibrium by disallowing certain (improvement) moves. A number of sufficient conditions for acyclicity and weak acyclicity are known.

Suggested Citation

  • Igal Milchtaich, 2013. "Schedulers, Potentials and Weak Potentials in Weakly Acyclic Games," Working Papers 2013-03, Bar-Ilan University, Department of Economics.
  • Handle: RePEc:biu:wpaper:2013-03
    as

    Download full text from publisher

    File URL: http://econ.biu.ac.il/files/economics/working-papers/2013-03.pdf
    File Function: Working paper
    Download Restriction: no

    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:biu:wpaper:2013-03. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Department of Economics). General contact details of provider: http://edirc.repec.org/data/debaril.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.