IDEAS home Printed from https://ideas.repec.org/p/wrk/wcreta/35.html
   My bibliography  Save this paper

Information Revelation and Coordination Using Cheap Talk in a Game with Two-Sided Private Information

Author

Listed:
  • Ganguly, Chirantan

    (Management School, Queen's University Belfast,)

  • Ray, Indrajit

    (Economics Section, Cardiff Business School, Cardiff University,)

Abstract

We consider a Bayesian game, namely the Battle of the Sexes with private information, in which each player has two types, High and Low. We allow cheap talk regarding players' types before the game. We prove that the unique fully revealing symmetric cheap talk equilibrium exists (for a low range of prior probability of the High-type) and has a desirable type-coordination property : it fully coordinates on the ex-post efficient pure Nash equilibrium when the players' types are different. Type-coordination is also obtained in a partially revealing equilibrium in which only the High-type is not truthful, for a medium range of prior probability of the High-type. We also prove that there is no (non-babbling) truthful cheap talk equilibrium if only one player talks.

Suggested Citation

  • Ganguly, Chirantan & Ray, Indrajit, 2017. "Information Revelation and Coordination Using Cheap Talk in a Game with Two-Sided Private Information," CRETA Online Discussion Paper Series 35, Centre for Research in Economic Theory and its Applications CRETA.
  • Handle: RePEc:wrk:wcreta:35
    as

    Download full text from publisher

    File URL: https://warwick.ac.uk/fac/soc/economics/research/centres/creta/papers/manage/35_-_creta_ray.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
    2. Sandeep Baliga & Tomas Sjöström, 2004. "Arms Races and Negotiations," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 351-369.
    3. Sandeep Baliga & Tomas Sjostrom, 2012. "The Strategy of Manipulating Conflict," American Economic Review, American Economic Association, vol. 102(6), pages 2897-2922, October.
    4. repec:oup:restud:v:82:y:2015:i:4:p:1483-1501. is not listed on IDEAS
    5. Johannes Hörner & Massimo Morelli & Francesco Squintani, 2015. "Mediation and Peace," Review of Economic Studies, Oxford University Press, vol. 82(4), pages 1483-1501.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, March.
    7. Joseph Farrell & Garth Saloner, 1988. "Coordination through Committees and Markets," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 235-252, Summer.
    8. Banks, Jeffrey S. & Calvert, Randall L., 1992. "A battle-of-the-sexes game with incomplete information," Games and Economic Behavior, Elsevier, vol. 4(3), pages 347-372, July.
    9. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1989. "Communication in the Battle of the Sexes Game: Some Experimental Results," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 568-587, Winter.
    10. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
    11. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January.
    12. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    13. 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.
    14. 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.
    15. Chirantan Ganguly & Indrajit Ray, 2013. "Information-Revelation and Coordination Using Cheap Talk in a Battle of the Sexes with Two-Sided Private Information," Discussion Papers 13-01r, Department of Economics, University of Birmingham.
    16. Costa-Gomes, Miguel A., 2002. "A Suggested Interpretation of Some Experimental Results on Preplay Communication," Journal of Economic Theory, Elsevier, vol. 104(1), pages 104-136, May.
    17. Baliga, Sandeep & Morris, Stephen, 2002. "Co-ordination, Spillovers, and Cheap Talk," Journal of Economic Theory, Elsevier, vol. 105(2), pages 450-468, August.
    18. In-Uck Park, 2002. "Cheap-Talk Coordination of Entry by Privately Informed Firms," RAND Journal of Economics, The RAND Corporation, vol. 33(3), pages 377-393, Autumn.
    19. 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.
    20. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Battle of the Sexes ; Private Information ; Cheap Talk ; Coordination ; Full Revelation. JEL classification numbers: C72;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:wrk:wcreta:35. 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: (Margaret Nash). General contact details of provider: http://edirc.repec.org/data/dewaruk.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.