IDEAS home Printed from https://ideas.repec.org/p/ris/giamwp/2012_003.html
   My bibliography  Save this paper

Agree or Convince

Author

Listed:
  • Ozkaya, Ata

    (Galatasaray University Economic Research Center)

Abstract

We continue the work of Aumann (Ann. Statist. 4 (1976), 1236-1239), Geanakoplos and Polemarchakis (J. Econ. Theory 28 (1982), 192-200) on common knowledge and consensus, reconsidering the arguments and the findings of both Aumann (1976) and Geanakoplos and Polemarchakis (1982) and offering different insights into the revision process. By revealing set inclusion property of the revision process, we show that the consensus conditions should be redefined. This redefinition enables us to demonstrate that until consensus is reached, in fact neither of the agents make apparent revision and each agent keeps repeating his initial posterior. Therefore the equilibrium posterior should be equal to initial posterior of the agent who does not make any apparent revision through the communication process. Our results show that regardless of the length of the communication process, it is impossible for the agents to agree on a value which is different from the initial posteriors. Finally, we shed light on some crucial points left unclear by Aumann (1976) and Geanakoplos and Polemarchakis (1982).

Suggested Citation

  • Ozkaya, Ata, 2012. "Agree or Convince," GIAM Working Papers 12-3, Galatasaray University Economic Research Center.
    • Handle: RePEc:ris:giamwp:2012_003
    as

    Download full text from publisher

    File URL: http://giam.gsu.edu.tr/wp-content/uploads/2014/07/WP-12-03.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Timothy Mathews & Aniruddha Bagchi, 2019. "Conflict without an Apparent Cause," Games, MDPI, vol. 10(4), pages 1-12, October.

    More about this item

    Keywords

    Communication; consensus; information; agreeing to disagree;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:ris:giamwp:2012_003. 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: Renginar Senses Dayangac (email available below). General contact details of provider: https://edirc.repec.org/data/giamgtr.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.