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

  • Chirantan Ganguly
  • Indrajit Ray

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.

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File URL: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/13-01R.pdf
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Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 13-01r.

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Length: 24 pages
Date of creation: Sep 2013
Date of revision:
Handle: RePEc:bir:birmec:13-01r
Contact details of provider: Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk

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  1. 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.
  2. Sandeep Baliga & Stephen Morris, 2000. "Coordination, Spillovers, and Cheap Talk," Discussion Papers 1301, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  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. 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.
  5. 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. Sandeep Baliga & Tomas Sjostrom, 2001. "Arms Races and Negotiations," Economics Working Papers 0007, Institute for Advanced Study, School of Social Science.
  7. Antonio Cabrales & Walter Garcia Fontes & Massimo Motta, 1997. "Risk dominance selects the leader. An experimental analysis," Economics Working Papers 222, Department of Economics and Business, Universitat Pompeu Fabra.
  8. 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.
  9. Sandeep Baliga & Tomas Sj�str�m, 2004. "Arms Races and Negotiations," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 351-369.
  10. Seidmann, Daniel J., 1990. "Effective cheap talk with conflicting interests," Journal of Economic Theory, Elsevier, vol. 50(2), pages 445-458, April.
  11. Farrell, Joseph & Gibbons, Robert, 1989. "Cheap talk can matter in bargaining," Journal of Economic Theory, Elsevier, vol. 48(1), pages 221-237, June.
  12. 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.
  13. Maria Goltsman & Gregory Pavlov, 2012. "Communication in Cournot Oligopoly," UWO Department of Economics Working Papers 20121, University of Western Ontario, Department of Economics.
  14. 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.
  15. 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.
  16. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
  17. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
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