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The (non-)robustness of influential cheap talk equilibria when the sender’s preferences are state-independent

Author

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  • Diehl, Christoph

    (Center for Mathematical Economics, Bielefeld University)

  • Kuzmics, Christoph

    (Center for Mathematical Economics, Bielefeld University)

Abstract

Chakraborty and Harbaugh (2010) prove the existence of influential cheap talk equilibria in one sender one receiver games when the state is multidimensional and the preferences of the sender are state-independent. We show that only the babbling equilibrium survives the introduction of any small degree of uncertainty about the sender’s preferences in the spirit of Harsanyi (1973). Introducing small costs of lying as in Kartik (2009), i.e. a small preference for sending the actual state as the message, while removing some influential equilibria, makes others robust to payoff uncertainty. Finally, modelling a small desire to be truthful endogenously, i.e. by taking into account how the receiver interprets the message, may make some influential equilibria robust, but may also remove all influential equilibria.

Suggested Citation

  • Diehl, Christoph & Kuzmics, Christoph, 2016. "The (non-)robustness of influential cheap talk equilibria when the sender’s preferences are state-independent," Center for Mathematical Economics Working Papers 489, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:489
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    File URL: https://pub.uni-bielefeld.de/download/2902683/2902684
    File Function: First Version, 2014
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    References listed on IDEAS

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    1. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    2. Morgan, John & Stocken, Phillip C, 2003. " An Analysis of Stock Recommendations," RAND Journal of Economics, The RAND Corporation, vol. 34(1), pages 183-203, Spring.
    3. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," Econometrica, Econometric Society, vol. 73(6), pages 1771-1813, November.
    4. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
    5. Archishman Chakraborty & Rick Harbaugh, 2010. "Persuasion by Cheap Talk," American Economic Review, American Economic Association, vol. 100(5), pages 2361-2382, December.
      • Archishman Chakraborty & Rick Harbaugh, 2006. "Persuasion by Cheap Talk," Working Papers 2006-10, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Oct 2009.
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    Keywords

    cheap talk; communication; information transmission;

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