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Information-Revelation and Coordination Using Cheap Talk in a Battle of the Sexes with Two-Sided Private Information

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  • Chirantan Ganguly
  • Indrajit Ray

Abstract

We consider a Battle of the Sexes game with two types, High and Low, for each player and 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. This equilibrium has a desirable type-coordination property: it fully coordinates on the ex-post efficient pure Nash equilbrium 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

  • 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.
  • Handle: RePEc:bir:birmec:13-01r
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    References listed on IDEAS

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    1. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
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    3. 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.
    4. Seidmann, Daniel J., 1990. "Effective cheap talk with conflicting interests," Journal of Economic Theory, Elsevier, vol. 50(2), pages 445-458, April.
    5. 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.
    6. Goltsman, Maria & Pavlov, Gregory, 2014. "Communication in Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 153(C), pages 152-176.
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    8. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    9. 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.
    10. 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.
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    12. Baliga, Sandeep & Morris, Stephen, 2002. "Co-ordination, Spillovers, and Cheap Talk," Journal of Economic Theory, Elsevier, vol. 105(2), pages 450-468, August.
    13. Doraszelski Ulrich & Gerardi Dino & Squintani Francesco, 2003. "Communication and Voting with Double-Sided Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-41, August.
    14. 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.
    15. 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.
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    Cited by:

    1. 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.

    More about this item

    Keywords

    Battle of the Sexes; Private Information; Cheap Talk; Coordination; Full Revelation;

    JEL classification:

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

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