IDEAS home Printed from https://ideas.repec.org/p/cdf/wpaper/2015-7.html
   My bibliography  Save this paper

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

Author

Listed:

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 and prove that the unique fully revealing symmetric cheap talk equilibrium exists for a low range of prior probability of the High-type. This equilibrium 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.

Suggested Citation

  • Ganguly, Chirantan & Ray, Indrajit, 2015. "Information-Revelation and Coordination Using Cheap Talk in a Game with Two-Sided Private Information," Cardiff Economics Working Papers E2015/7, Cardiff University, Cardiff Business School, Economics Section.
    • Handle: RePEc:cdf:wpaper:2015/7
    as

    Download full text from publisher

    File URL: http://carbsecon.com/wp/E2015_7.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," The Review of Economic Studies, Review of Economic Studies Ltd, 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. Johannes Hörner & Massimo Morelli & Francesco Squintani, 2015. "Mediation and Peace," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1483-1501.
    5. Johannes Horner & Massimo Morelli & Francesco Squintani, 2010. "Mediation and Peace," Economics Working Papers ECO2010/32, European University Institute.
    6. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    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. 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 13-01, Department of Economics, University of Birmingham.
    11. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
    12. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In The Battle Of The Sexes Game," Carleton Industrial Organization Research Unit (CIORU) 89-03, Carleton University, Department of Economics.
    13. 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.
    14. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Baliga, Sandeep & Morris, Stephen, 2002. "Co-ordination, Spillovers, and Cheap Talk," Journal of Economic Theory, Elsevier, vol. 105(2), pages 450-468, August.
    20. 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.
    21. 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.
    22. 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)

    Citations

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


    Cited by:

    1. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    2. Zhuozheng Li & Huanxing Yang & Lan Zhang, 2019. "Pre-communication in a coordination game with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 109-141, March.
    3. Cabrales, Antonio & Drouvelis, Michalis & Gurguc, Zeynep & Ray, Indrajit, 2018. "Do we need to listen to all stakeholders?: communicating in a coordination game with private information," Cardiff Economics Working Papers E2018/23, Cardiff University, Cardiff Business School, Economics Section.

    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. 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.
    2. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
    3. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    4. 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 13-01, Department of Economics, University of Birmingham.
    5. Johne Bone & Michalis Drouvelis & Indrajit Ray, 2013. "Coordination in 2 x 2 Games by Following Recommendations from Correlated Equilibria," Discussion Papers 12-04r, Department of Economics, University of Birmingham.
    6. Cabrales, Antonio & Drouvelis, Michalis & Gurguc, Zeynep & Ray, Indrajit, 2018. "Do we need to listen to all stakeholders?: communicating in a coordination game with private information," Cardiff Economics Working Papers E2018/23, Cardiff University, Cardiff Business School, Economics Section.
    7. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    8. Hu, Youxin & Kagel, John & Yang, Huanxing & Zhang, Lan, 2020. "The effects of pre-play communication in a coordination game with incomplete information," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 403-415.
    9. Ricardo Alonso & Wouter Dessein & Niko Matouschek, 2008. "When Does Coordination Require Centralization?," American Economic Review, American Economic Association, vol. 98(1), pages 145-179, March.
    10. Agastya, Murali & Menezes, Flavio & Sengupta, Kunal, 2007. "Cheap talk, efficiency and egalitarian cost sharing in joint projects," Games and Economic Behavior, Elsevier, vol. 60(1), pages 1-19, July.
    11. He, Simin & Offerman, Theo & van de Ven, Jeroen, 2019. "The power and limits of sequential communication in coordination games," Journal of Economic Theory, Elsevier, vol. 181(C), pages 238-273.
    12. Crawford, Vincent P., 2017. "Let׳s talk it over: Coordination via preplay communication with level-k thinking," Research in Economics, Elsevier, vol. 71(1), pages 20-31.
    13. Syngjoo Choi & Jihong Lee, 2014. "Communication, Coordination, And Networks," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 223-247, February.
    14. Johne Bone & Michalis Drouvelis & Indrajit Ray, 2013. "Coordination in 2 x 2 Games by Following Recommendations from Correlated Equilibria," Discussion Papers 12-04, Department of Economics, University of Birmingham.
    15. Sutter, Matthias & Strassmair, Christina, 2009. "Communication, cooperation and collusion in team tournaments--An experimental study," Games and Economic Behavior, Elsevier, vol. 66(1), pages 506-525, May.
    16. Sally, David, 2005. "Can I say "bobobo" and mean "There's no such thing as cheap talk"?," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 245-266, July.
    17. Francisca Jiménez-Jiménez & Javier Rodero Cosano, 2021. "Experimental cheap talk games: strategic complementarity and coordination," Theory and Decision, Springer, vol. 91(2), pages 235-263, September.
    18. Georgalos, Konstantinos & Ray, Indrajit & Gupta, Sonali Sen, 2019. "Nash vs. Coarse Correlation," Cardiff Economics Working Papers E2019/3, Cardiff University, Cardiff Business School, Economics Section.
    19. Zhuozheng Li & Huanxing Yang & Lan Zhang, 2019. "Pre-communication in a coordination game with incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 109-141, March.
    20. Christoph Feldhaus & Julia Stauf, 2016. "More than words: the effects of cheap talk in a volunteer’s dilemma," Experimental Economics, Springer;Economic Science Association, vol. 19(2), pages 342-359, June.

    More about this item

    Keywords

    Battle of the Sexes; Private Information; Cheap Talk; Coordination; Full Revelation;
    All these keywords.

    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:cdf:wpaper:2015/7. 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: Yongdeng Xu (email available below). General contact details of provider: https://edirc.repec.org/data/ecscfuk.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.