IDEAS home Printed from https://ideas.repec.org/p/cda/wpaper/10-1.html
   My bibliography  Save this paper

Belief change in branching time: AGM-consistency and iterated revision

Author

Listed:
  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

We study belief change branching-time structures. First, we identify a property of branching-time frames that is equivalent to AGM-consistency, which is defined as follows. A frame is AGM-consistent if the partial belief revision function associated with an arbitrary state-instant pair and an arbitrary model based on that frame can be extended to a full belief revision function that satisfies the AGM postulates. Second, we provide a set of modal axioms that characterize the class of AGM-consistent frames within the modal logic introduced in [Bonanno, Axiomatic characterization of the AGM theory of belief revision in a temporal logic, Artificial Intelligence, 2007]. Third, we introduce a generalization of AGM belief revision functions that allows a clear statement of principles of iterated belief revision and discuss iterated revision both semantically and syntactically.

Suggested Citation

  • Giacomo Bonanno, 2010. "Belief change in branching time: AGM-consistency and iterated revision," Working Papers 101, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:10-1
    as

    Download full text from publisher

    File URL: http://wp.econ.ucdavis.edu/10-1.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Editors' note," Research in Economics, Elsevier, vol. 53(3), pages 243-246, September.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    iterated belief revision; branching time; information; belief; modal logic; AGM belief revision;

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

    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:cda:wpaper:10-1. 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: (Scott Dyer). General contact details of provider: http://edirc.repec.org/data/educdus.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.

    If CitEc recognized a reference but did not link an item in RePEc 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 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.