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

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  • 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
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    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.

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    More about this item

    Keywords

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

    JEL classification:

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

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