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Strategic information transmission and stochastic orders


  • Szalay, Dezsö


I develop new results on uniqueness and comparative statics of equilibria in the Crawford and Sobel (1982) strategic information transmission game. For a class of utility functions, I demonstrate that logconcavity of the density implies uniqueness of equilibria inducing a given number of Receiver actions. I provide comparative statics results with respect to the distribution of types for distributions that are comparable in the likelihood ratio order, implying, e.g., that advice from a better informed Sender induces the Receiver to choose actions that are more spread out.

Suggested Citation

  • 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.
  • Handle: RePEc:trf:wpaper:386

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    References listed on IDEAS

    1. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    2. Szalay, Dezsö, 2009. "Contracts with endogenous information," Games and Economic Behavior, Elsevier, vol. 65(2), pages 586-625, March.
    3. Dezsö Szalay & Ramon Arean, 2005. "Communicating with a Team of Experts," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 05.12, Université de Lausanne, Faculté des HEC, DEEP.
    4. 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.
    5. Ambrus, Attila & Takahashi, Satoru, 2008. "Multi-sender cheap talk with restricted state spaces," Theoretical Economics, Econometric Society, vol. 3(1), March.
    6. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    7. Levy, Gilat & Razin, Ronny, 2004. "Multidimensional Cheap Talk," CEPR Discussion Papers 4393, C.E.P.R. Discussion Papers.
    8. Ying Chen & Sidartha Gordon, 2015. "Information transmission in nested sender–receiver games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 543-569, April.
    9. Rossella Argenziano & Sergei Severinov & Francesco Squintani, 2016. "Strategic Information Acquisition and Transmission," American Economic Journal: Microeconomics, American Economic Association, vol. 8(3), pages 119-155, August.
    10. 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.
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    Cited by:

    1. Ying Chen & Sidartha Gordon, 2015. "Information transmission in nested sender–receiver games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 543-569, April.

    More about this item


    strategic information transmission; cheap talk; uniqueness; comparative statics; logconcavity; likelihood ratio order;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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