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Persuasion Of A Privately Informed Receiver

Author

Listed:
  • Anton Kolotilin
  • Tymofiy Mylovanov
  • Andriy Zapechelnyuk
  • Ming Li

Abstract

We study persuasion mechanisms in linear environments. A privately informed receiver chooses between two actions. A sender designs a persuasion mech- anism that can condition the information disclosed to the receiver on the receiver’s report about his type. We establish the equivalence of implementation by persua- sion 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," Working Papers 2016_22, Business School - Economics, University of Glasgow.
  • Handle: RePEc:gla:glaewp:2016_22
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    File URL: http://www.gla.ac.uk/media/media_500913_en.pdf
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    References listed on IDEAS

    as
    1. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 705-731.
    2. Ina A Taneva, 2015. "Information Design," ESE Discussion Papers 256, Edinburgh School of Economics, University of Edinburgh.
    3. John K.‐H. Quah & Bruno Strulovici, 2012. "Aggregating the Single Crossing Property," Econometrica, Econometric Society, vol. 80(5), pages 2333-2348, September.
    4. Jimmy Chan & Wing Suen, 2008. "A Spatial Theory of News Consumption and Electoral Competition," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 699-728.
    5. Chun-Fang Chiang & Brian Knight, 2011. "Media Bias and Influence: Evidence from Newspaper Endorsements," Review of Economic Studies, Oxford University Press, vol. 78(3), pages 795-820.
    6. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.
    7. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ludmila Matyskova, 2018. "Bayesian Persuasion with Costly Information Acquisition," CERGE-EI Working Papers wp614, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    2. Dirk Bergemann & Stephen Morris, 2016. "Information Design, Bayesian Persuasion, and Bayes Correlated Equilibrium," American Economic Review, American Economic Association, vol. 106(5), pages 586-591, May.
    3. Alfredo Di Tillio & Marco Ottaviani & Peter Norman Sørensen, 2017. "Persuasion Bias in Science: Can Economics Help?," Economic Journal, Royal Economic Society, vol. 127(605), pages 266-304, October.
    4. Dirk Bergemann & Stephen Morris, 2017. "Information Design: A Unified Perspective," Cowles Foundation Discussion Papers 2075R2, Cowles Foundation for Research in Economics, Yale University, revised Nov 2017.
    5. Raphael Boleslavsky & Bruce Carlin & Christopher Cotton, 2017. "Competing for Capital: Auditing and Credibility in Financial Reporting," Working Papers 1377, Queen's University, Department of Economics.
    6. Hao Li & Xianwen Shi, 2013. "Discriminatory Information Disclosure," Working Papers tecipa-497, University of Toronto, Department of Economics.
    7. Sareh Vosooghi, 2017. "Information Design In Coalition Formation Games," Working Papers 2017.28, Fondazione Eni Enrico Mattei.
    8. Raphael Boleslavsky & Christopher Cotton, 2018. "Limited capacity in project selection: competition through evidence production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 385-421, March.
    9. repec:kap:pubcho:v:174:y:2018:i:1:d:10.1007_s11127-017-0485-1 is not listed on IDEAS
    10. Alonso, Ricardo & Câmara, Odilon, 2016. "Political disagreement and information in elections," Games and Economic Behavior, Elsevier, vol. 100(C), pages 390-412.
    11. Makoto Shimoji, 2016. "Rationalizable Persuasion," Discussion Papers 16/08, Department of Economics, University of York.
    12. Anton Kolotilin & Andriy Zapechelnyuk, 2018. "Persuasion Meets Delegation," Discussion Papers 2018-06, School of Economics, The University of New South Wales.
    13. Artem Hulko & Mark Whitmeyer, 2018. "Information Provision in a Sequential Search Setting," Papers 1802.09396, arXiv.org, revised Jun 2018.
    14. repec:eee:gamebe:v:104:y:2017:i:c:p:632-655 is not listed on IDEAS
    15. Dirk Bergemann & Alessandro Bonatti & Alex Smolin, 2018. "The Design and Price of Information," American Economic Review, American Economic Association, vol. 108(1), pages 1-48, January.
    16. Alonso, Ricardo & Câmara, Odilon, 2016. "Political disagreement and information in elections," Games and Economic Behavior, Elsevier, vol. 100(C), pages 390-412.
    17. Ayça Özdoðan, 2016. "A Survey of Strategic Communication and Persuasion," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 30(1), pages 1-21.
    18. Artem Hulko & Mark Whitmeyer, 2017. "A Game of Random Variables," Papers 1712.08716, arXiv.org, revised Apr 2018.
    19. Jeffrey C. Ely, 2017. "Beeps," American Economic Review, American Economic Association, vol. 107(1), pages 31-53, January.
    20. repec:the:publsh:1805 is not listed on IDEAS
    21. Mariotti, Thomas & Schweizer, Nikolaus & Szech, Nora, 2018. "Information Nudges and Self Control," TSE Working Papers 18-914, Toulouse School of Economics (TSE).
    22. Matthew Gentzkow & Emir Kamenica, 2016. "A Rothschild-Stiglitz Approach to Bayesian Persuasion," American Economic Review, American Economic Association, vol. 106(5), pages 597-601, May.
    23. Elias Tsakas & Nikolas Tsakas & Dimitrios Xefteris, 2017. "Resisting Persuasion," University of Cyprus Working Papers in Economics 07-2017, University of Cyprus Department of Economics.

    More about this item

    Keywords

    Bayesian persuasion; information disclosure; information design; mech- anism design without transfers; experiments; persuasion mechanisms; media;

    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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