IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

The Role of Monotonicity in the Epistemic Analysis of Strategic Games

  • Krzysztof R. Apt

    ()

    (Centrum for Mathematics and Computer Science (CWI), University of Amsterdam, Science Park 123, 1098 XG Amsterdam, The Netherlands)

  • Jonathan A. Zvesper

    (Oxford University, Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK)

Registered author(s):

    It is well-known that in finite strategic games true common belief (or common knowledge) of rationality implies that the players will choose only strategies that survive the iterated elimination of strictly dominated strategies. We establish a general theorem that deals with monotonic rationality notions and arbitrary strategic games and allows to strengthen the above result to arbitrary games, other rationality notions, and transfinite iterations of the elimination process. We also clarify what conclusions one can draw for the customary dominance notions that are not monotonic. The main tool is Tarski’s Fixpoint Theorem.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL: http://www.mdpi.com/2073-4336/1/4/381/pdf
    Download Restriction: no

    File URL: http://www.mdpi.com/2073-4336/1/4/381/
    Download Restriction: no

    Article provided by MDPI, Open Access Journal in its journal Games.

    Volume (Year): 1 (2010)
    Issue (Month): 4 (October)
    Pages: 381-394

    as
    in new window

    Handle: RePEc:gam:jgames:v:1:y:2010:i:4:p:381-394:d:9784
    Contact details of provider: Web page: http://www.mdpi.com/

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:gam:jgames:v:1:y:2010:i:4:p:381-394:d:9784. 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: (XML Conversion Team)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 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.

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.