IDEAS home Printed from https://ideas.repec.org/p/edn/esedps/125.html
   My bibliography  Save this paper

Communication in Games of Incomplete Information: The Two-player Case

Author

Abstract

We study the effect of communication in two-person games of incomplete information. We show that any rational mediated communication mechanism satisfying a Nash domination condition can be implemented as the perfect Bayesian equilibrium of a communication extension of the original game and ends in finite time with probability 1.

Suggested Citation

  • R. Vijay Krishna, 2004. "Communication in Games of Incomplete Information: The Two-player Case," Edinburgh School of Economics Discussion Paper Series 125, Edinburgh School of Economics, University of Edinburgh.
    • Handle: RePEc:edn:esedps:125
    as

    Download full text from publisher

    File URL: http://www.econ.ed.ac.uk/papers/id125_esedps.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ben-Porath, Elchanan, 1998. "Correlation without Mediation: Expanding the Set of Equilibrium Outcomes by "Cheap" Pre-play Procedures," Journal of Economic Theory, Elsevier, vol. 80(1), pages 108-122, May.
    2. Imre Bárány, 1992. "Fair Distribution Protocols or How the Players Replace Fortune," Mathematics of Operations Research, INFORMS, vol. 17(2), pages 327-340, May.
    3. Simon, Robert Samuel, 2002. "Separation of joint plan equilibrium payoffs from the min-max functions," Games and Economic Behavior, Elsevier, vol. 41(1), pages 79-102, October.
    4. Amparo Urbano & Jose E. Vila, 2002. "Computational Complexity and Communication: Coordination in Two-Player Games," Econometrica, Econometric Society, vol. 70(5), pages 1893-1927, September.
    5. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
    6. Françoise Forges, 1990. "Equilibria with Communication in a Job Market Example," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 375-398.
    7. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    8. Matthews, Steven A. & Postlewaite, Andrew, 1989. "Pre-play communication in two-person sealed-bid double auctions," Journal of Economic Theory, Elsevier, vol. 48(1), pages 238-263, June.
    9. Lehrer, Ehud & Sorin, Sylvain, 1997. "One-Shot Public Mediated Talk," Games and Economic Behavior, Elsevier, vol. 20(2), pages 131-148, August.
    10. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    11. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    12. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    13. R. Vijay Krishna, 2004. "Extended Conversations in Sender-Receiver Games," Edinburgh School of Economics Discussion Paper Series 126, Edinburgh School of Economics, University of Edinburgh.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
    2. Peter Vida, 2005. "A Detail-free Mediator and the 3 Player Case," CERS-IE WORKING PAPERS 0511, Institute of Economics, Centre for Economic and Regional Studies.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. R. Vijay Krishna, 2004. "Extended Conversations in Sender-Receiver Games," Edinburgh School of Economics Discussion Paper Series 126, Edinburgh School of Economics, University of Edinburgh.
    2. Bester, Helmut & Strausz, Roland, 2007. "Contracting with imperfect commitment and noisy communication," Journal of Economic Theory, Elsevier, vol. 136(1), pages 236-259, September.
    3. Gerardi, Dino, 2004. "Unmediated communication in games with complete and incomplete information," Journal of Economic Theory, Elsevier, vol. 114(1), pages 104-131, January.
    4. Heller, Yuval, 2010. "Minority-proof cheap-talk protocol," Games and Economic Behavior, Elsevier, vol. 69(2), pages 394-400, July.
    5. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    6. Vijay Krishna, R., 2007. "Communication in games of incomplete information: Two players," Journal of Economic Theory, Elsevier, vol. 132(1), pages 584-592, January.
    7. repec:dau:papers:123456789/5279 is not listed on IDEAS
    8. Vida, Péter & Āzacis, Helmuts, 2013. "A detail-free mediator," Games and Economic Behavior, Elsevier, vol. 81(C), pages 101-115.
    9. Heller, Yuval & Solan, Eilon & Tomala, Tristan, 2012. "Communication, correlation and cheap-talk in games with public information," Games and Economic Behavior, Elsevier, vol. 74(1), pages 222-234.
    10. , & ,, 2013. "Implementation of communication equilibria by correlated cheap talk: The two-player case," Theoretical Economics, Econometric Society, vol. 8(1), January.
    11. Forges, Françoise & Koessler, Frédéric, 2008. "Long persuasion games," Journal of Economic Theory, Elsevier, vol. 143(1), pages 1-35, November.
    12. Krishna, Vijay & Morgan, John, 2004. "The art of conversation: eliciting information from experts through multi-stage communication," Journal of Economic Theory, Elsevier, vol. 117(2), pages 147-179, August.
    13. Gerardi, Dino & Myerson, Roger B., 2007. "Sequential equilibria in Bayesian games with communication," Games and Economic Behavior, Elsevier, vol. 60(1), pages 104-134, July.
    14. Heng Liu, 2017. "Correlation and unmediated cheap talk in repeated games with imperfect monitoring," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1037-1069, November.
    15. Kar, Anirban & Ray, Indrajit & Serrano, Roberto, 2010. "A difficulty in implementing correlated equilibrium distributions," Games and Economic Behavior, Elsevier, vol. 69(1), pages 189-193, May.
    16. Peter Vida, 2005. "A Detail-free Mediator and the 3 Player Case," CERS-IE WORKING PAPERS 0511, Institute of Economics, Centre for Economic and Regional Studies.
    17. Anirban Kar & Indrajit Ray & Roberto Serrano, 2005. "Multiple Equilibria as a Difficulty in Understanding Correlated Distributions," Working Papers 2005-10, Brown University, Department of Economics.
    18. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
    19. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
    20. Kay Mitusch & Roland Strausz, 2005. "Mediation in Situations of Conflict and Limited Commitment," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 21(2), pages 467-500, October.
    21. Forges, Françoise & Horst, Ulrich, 2018. "Sender–receiver games with cooperation," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 52-61.

    More about this item

    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:edn:esedps:125. 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.

    If CitEc recognized a bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Research Office (email available below). General contact details of provider: https://edirc.repec.org/data/deediuk.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.