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Can Mediation Improve Upon Cheap-Talk? A Note

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Author Info
Chirantan Ganguly and Indrajit Ray

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Abstract

In the Crawford-Sobel (uniform, quadratic utility) cheap-talk model we allow for mediation in which the informed agent reports one possible element of a partition to a mediator (a communication device) and then the mediator suggests an action to the uninformed decision-maker according to the probability distribution of the device. We compare the unmediated N-partition equilibrium of the Crawford-Sobel model with a mediated equilibrium involving exactly N elements to report and N actions to choose from. We show that such a mediated equilibrium cannot improve upon the unmediated N-partition equilibrium when the preference divergence parameter is small.

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Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 05-08.

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Handle: RePEc:bir:birmec:05-08

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Related research
Keywords: Cheap Talk; Mediated Equilibrium;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June. [Downloadable!] (restricted)
  2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January. [Downloadable!] (restricted)
  3. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November. [Downloadable!] (restricted)
    Other versions:
    • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem, revised Nov 2002. [Downloadable!]
  4. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July. [Downloadable!] (restricted)
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  5. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November. [Downloadable!] (restricted)
  6. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  7. Forges, Francoise, 1990. "Universal Mechanisms," Econometrica, Econometric Society, vol. 58(6), pages 1341-64, November. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  9. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March. [Downloadable!] (restricted)
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  10. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-51, November. [Downloadable!] (restricted)
  11. Dessein, Wouter, 2002. "Authority and Communication in Organizations," Review of Economic Studies, Blackwell Publishing, vol. 69(4), pages 811-38, October.
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