IDEAS home Printed from https://ideas.repec.org/a/aea/aecrev/v106y2016i5p597-601.html
   My bibliography  Save this article

A Rothschild-Stiglitz Approach to Bayesian Persuasion

Author

Listed:
  • Matthew Gentzkow
  • Emir Kamenica

Abstract

Rothschild and Stiglitz (1970) represent random variables as convex functions (integrals of the cumulative distribution function). Combining this representation with Blackwell's Theorem (1953), we characterize distributions of posterior means that can be induced by a signal. This characterization provides a novel way to analyze a class of Bayesian persuasion problems.

Suggested Citation

  • 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.
    • Handle: RePEc:aea:aecrev:v:106:y:2016:i:5:p:597-601
    Note: DOI: 10.1257/aer.p20161049
    as

    Download full text from publisher

    File URL: https://www.aeaweb.org/articles?id=10.1257/aer.p20161049
    Download Restriction: no
    File URL: https://www.aeaweb.org/aer/ds/10605/P2016_1049_ds.zip
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.
    ---><---

    References listed on IDEAS

    as
    1. Rothschild, Michael & Stiglitz, Joseph E., 1972. "Addendum to "increasing risk: I. A definition"," Journal of Economic Theory, Elsevier, vol. 5(2), pages 306-306, October.
    2. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    3. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    4. Yun Wang, 2015. "Bayesian Persuasion with Multiple Receivers," Working Papers 2015-03-24, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    5. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    6. Anton Kolotilin, 2013. "Optimal Information Disclosure: Quantity vs. Quality," Discussion Papers 2013-19, School of Economics, The University of New South Wales.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Makoto Shimoji, 2016. "Rationalizable Persuasion," Discussion Papers 16/08, Department of Economics, University of York.
    2. Tsakas, Elias & Tsakas, Nikolas, 2021. "Noisy persuasion," Games and Economic Behavior, Elsevier, vol. 130(C), pages 44-61.
    3. 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.
    4. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    5. Thomas Mariotti & Nikolaus Schweizer & Nora Szech & Jonas von Wangenheim, 2023. "Information Nudges and Self-Control," Management Science, INFORMS, vol. 69(4), pages 2182-2197, April.
    6. Sareh Vosooghi, 2017. "Information Design In Coalition Formation Games," Working Papers 2017.28, Fondazione Eni Enrico Mattei.
    7. Chan, Jimmy & Gupta, Seher & Li, Fei & Wang, Yun, 2019. "Pivotal persuasion," Journal of Economic Theory, Elsevier, vol. 180(C), pages 178-202.
      • Jimmy Chan & Seher Gupta & Fei Li & Yun Wang, 2018. "Pivotal Persuasion," Working Papers 2018-11-03, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    8. Yamashita, Takuro, 2018. "Optimal Public Information Disclosure by Mechanism Designer," TSE Working Papers 18-936, Toulouse School of Economics (TSE).
    9. Arcand, Jean-Louis & Hongler, Max-Olivier & Rinaldo, Daniele, 2020. "Increasing risk: Dynamic mean-preserving spreads," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 69-82.
    10. Leshno, Moshe & Levy, Haim & Spector, Yishay, 1997. "A Comment on Rothschild and Stiglitz's "Increasing Risk: I. A Definition"," Journal of Economic Theory, Elsevier, vol. 77(1), pages 223-228, November.
    11. Izhakian, Yehuda, 2020. "A theoretical foundation of ambiguity measurement," Journal of Economic Theory, Elsevier, vol. 187(C).
    12. Tracy Mott, 2012. "Risk," Chapters, in: Jan Toporowski & Jo Michell (ed.), Handbook of Critical Issues in Finance, chapter 39, pages i-ii, Edward Elgar Publishing.
    13. Eleonora Perversi & Eugenio Regazzini, 2015. "Inequality and risk aversion in economies open to altruistic attitudes," Papers 1507.00894, arXiv.org, revised May 2016.
    14. Jeffrey C. Ely, 2017. "Beeps," American Economic Review, American Economic Association, vol. 107(1), pages 31-53, January.
    15. Anton Kolotilin & Alexander Wolitzky, 2020. "Assortative Information Disclosure," Discussion Papers 2020-08, School of Economics, The University of New South Wales.
    16. Philipp Denter & Martin Dumav & Boris Ginzburg, 2021. "Social Connectivity, Media Bias, and Correlation Neglect," The Economic Journal, Royal Economic Society, vol. 131(637), pages 2033-2057.
    17. Ricardo Alonso & Odilon Câmara, 2016. "Persuading Voters," American Economic Review, American Economic Association, vol. 106(11), pages 3590-3605, November.
    18. Whitmeyer, Joseph & Whitmeyer, Mark, 2021. "Mixtures of mean-preserving contractions," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    19. Kolotilin, Anton & Li, Hongyi, 2021. "Relational communication," Theoretical Economics, Econometric Society, vol. 16(4), November.
    20. Caio Lorecchio, 2022. "Persuading crowds," UB School of Economics Working Papers 2022/434, University of Barcelona School of Economics.

    More about this item

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:aea:aecrev:v:106:y:2016:i:5:p:597-601. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.