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Communication between unbiased agents

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  • Dilmé, Francesc

Abstract

We examine a version of the model of Crawford and Sobel (1982) in which agents are not biased, but their preferences are not necessarily smooth. In this situation, we show that communication converges to full information transmission as the number of messages used for communication increases if and only if the sender and the receiver have the same local relative preferences for avoiding small “upward” or “downward” mistakes. When these conditions fail, either an arbitrarily small bias or an arbitrarily small noise in the observation of the state may make communication very coarse in all equilibria, even when the message space is infinite. Hence, contrary to what was previously thought, continuity of preferences and close alignment between the sender's and receiver's ideal actions do not guarantee the existence of equilibria with precise information transmission.

Suggested Citation

  • Dilmé, Francesc, 2023. "Communication between unbiased agents," Games and Economic Behavior, Elsevier, vol. 142(C), pages 613-622.
  • Handle: RePEc:eee:gamebe:v:142:y:2023:i:c:p:613-622
    DOI: 10.1016/j.geb.2023.09.008
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    References listed on IDEAS

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    1. Wouter Dessein, 2002. "Authority and Communication in Organizations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 811-838.
    2. Johanna Hertel & John Smith, 2013. "Not so cheap talk: costly and discrete communication," Theory and Decision, Springer, vol. 75(2), pages 267-291, August.
    3. Jacques Crémer & Luis Garicano & Andrea Prat, 2007. "Language and the Theory of the Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 373-407.
    4. Jäger, Gerhard & Koch-Metzger, Lars & Riedel, Frank, 2011. "Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals," Center for Mathematical Economics Working Papers 420, Center for Mathematical Economics, Bielefeld University.
    5. Murali Agastya & Parimal Kanti Bag & Indranil Chakraborty, 2015. "Proximate preferences and almost full revelation in the Crawford–Sobel game," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 201-212, October.
    6. , & ,, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    7. Szalay, Dezsö, 2012. "Strategic information transmission and stochastic orders," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 386, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    9. Spector, David, 2000. "Pure communication between agents with close preferences," Economics Letters, Elsevier, vol. 66(2), pages 171-178, February.
    10. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, January.
    11. Nahum D. Melumad & Toshiyuki Shibano, 1991. "Communication in Settings with No. Transfers," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 173-198, Summer.
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    More about this item

    Keywords

    Strategic communication; Unbiased agents; Skewed preferences;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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