IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/1992028.html
   My bibliography  Save this paper

Three results on communication, information and common knowledge

Author

Listed:
  • WEYERS , Sonia

Abstract

I extend the results on communication, information and common knowledge by proving the following : 1. If n individuals with partitional information structures communicate their posterior probabilities of an event sequentially, one to one at a time, according to a scheme whim never excludes anyone permanently, and they revise in a nonmyopic way, then they eventually reach common knowledge. 2. If n individuals with partitional information structures form posterior probabilities of a given event and the minimum of their posteriors is common knowledge as well as the number of times it is attained then all posteriors must be equal. 3. Balancedness, the property of non-partitional information structures necessary and sufficient to prevent "Agreeing to Disagree", is in fact a very unrestrictive requirement. A new property, subnestedness, implies balancedness.

Suggested Citation

  • WEYERS , Sonia, 1992. "Three results on communication, information and common knowledge," LIDAM Discussion Papers CORE 1992028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1992028
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1992.html
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Crescenzi, Michele, 2022. "Learning to agree over large state spaces," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    2. Tsakas, Elias & Voorneveld, Mark, 2007. "Efficient communication, common knowledge, and consensus," Working Papers in Economics 255, University of Gothenburg, Department of Economics.
    3. Koessler, Frederic, 2001. "Common knowledge and consensus with noisy communication," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 139-159, September.

    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:cor:louvco:1992028. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.