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Persuasion of a Privately Informed Receiver

Author

Listed:
  • Anton Kolotilin

    (School of Economics, UNSW Business School, UNSW)

  • Tymofiy Mylovanov

    (University of Pittsburgh, Department of Economics)

  • Andriy Zapechelnyuk

    (Adam Smith Business School, University of Glasgow)

  • Ming Li

    (Concordia University and CIREQ)

Abstract

We study persuasion mechanisms in linear environments. A privately informed receiver chooses between two actions. A sender designs a persuasion mechanism that can condition the information disclosed to the receiver on the receiver’s report about his type. We establish the equivalence of implementation by persuasion mechanisms and by experiments. We also characterize the optimal persuasion mechanisms. In particular, if the density of the receiver’s type is log-concave, then the optimal persuasion mechanism reveals the state if and only if the state is below a threshold. We apply our results to the design of media censorship policies.

Suggested Citation

  • Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2016. "Persuasion of a Privately Informed Receiver," Discussion Papers 2016-21, School of Economics, The University of New South Wales.
  • Handle: RePEc:swe:wpaper:2016-21
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    File URL: http://research.economics.unsw.edu.au/RePEc/papers/2016-21.pdf
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    References listed on IDEAS

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    1. Ruben Enikolopov & Maria Petrova & Ekaterina Zhuravskaya, 2011. "Media and Political Persuasion: Evidence from Russia," American Economic Review, American Economic Association, vol. 101(7), pages 3253-3285, December.
    2. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    3. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.
    4. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2015. "The Limits of Price Discrimination," American Economic Review, American Economic Association, vol. 105(3), pages 921-957, March.
    5. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    6. Dirk Bergemann & Stephen Morris, 2013. "Robust Predictions in Games With Incomplete Information," Econometrica, Econometric Society, vol. 81(4), pages 1251-1308, July.
    7. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
    8. Bergemann, Dirk & Pesendorfer, Martin, 2007. "Information structures in optimal auctions," Journal of Economic Theory, Elsevier, vol. 137(1), pages 580-609, November.
    9. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    10. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    11. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 705-731.
    12. Ina Taneva, 2019. "Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 11(4), pages 151-185, November.
    13. Chun-Fang Chiang & Brian Knight, 2011. "Media Bias and Influence: Evidence from Newspaper Endorsements," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 795-820.
    14. Gill, David & Sgroi, Daniel, 2008. "Sequential decisions with tests," Games and Economic Behavior, Elsevier, vol. 63(2), pages 663-678, July.
    15. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    16. Baron, David P., 2006. "Persistent media bias," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 1-36, January.
    17. John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, September.
    18. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    19. Timothy Besley & Andrea Prat, 2006. "Handcuffs for the Grabbing Hand? Media Capture and Government Accountability," American Economic Review, American Economic Association, vol. 96(3), pages 720-736, June.
    20. Luis Rayo & Ilya Segal, 2010. "Optimal Information Disclosure," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 949-987.
    21. Jeffrey Ely & Alexander Frankel & Emir Kamenica, 2015. "Suspense and Surprise," Journal of Political Economy, University of Chicago Press, vol. 123(1), pages 215-260.
    22. Wing Suen, 2004. "The Self-Perpetuation of Biased Beliefs," Economic Journal, Royal Economic Society, vol. 114(495), pages 377-396, April.
    23. Jimmy Chan & Wing Suen, 2008. "A Spatial Theory of News Consumption and Electoral Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 699-728.
    24. Matthew Gentzkow & Jesse M. Shapiro, 2006. "Media Bias and Reputation," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 280-316, April.
    25. Lewis, Tracy R & Sappington, David E M, 1994. "Supplying Information to Facilitate Price Discrimination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 309-327, May.
    26. Sendhil Mullainathan & Andrei Shleifer, 2005. "The Market for News," American Economic Review, American Economic Association, vol. 95(4), pages 1031-1053, September.
    27. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    28. repec:cwl:cwldpp:1821rrr is not listed on IDEAS
    29. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    30. Pak Hung Au, 2015. "Dynamic information disclosure," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 791-823, October.
    31. Matthew Gentzkow & Emir Kamenica, 2014. "Costly Persuasion," American Economic Review, American Economic Association, vol. 104(5), pages 457-462, May.
    32. Sendhil Mullainathan & Andrei Shleifer, 2005. "The Market for News," American Economic Review, American Economic Association, vol. 95(4), pages 1031-1053, September.
    33. Michael Ostrovsky & Michael Schwarz, 2010. "Information Disclosure and Unraveling in Matching Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 34-63, May.
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    More about this item

    Keywords

    Bayesian persuasion; information disclosure; information design; mechanism design without transfers; experiments; persuasion mechanisms; media;
    All these keywords.

    JEL classification:

    • 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
    • L82 - Industrial Organization - - Industry Studies: Services - - - Entertainment; Media

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