IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v136y2022icp226-248.html
   My bibliography  Save this article

Regret-minimizing Bayesian persuasion

Author

Listed:
  • Babichenko, Yakov
  • Talgam-Cohen, Inbal
  • Xu, Haifeng
  • Zabarnyi, Konstantin

Abstract

We revisit the celebrated Bayesian persuasion setting and examine how well the Sender can perform when ignorant of the Receiver's utility. Taking an adversarial approach, we measure the signaling scheme performance via (additive) regret over a single persuasion instance. We focus on Receiver with two actions: adoption and rejection, assuming that Sender aims to persuade Receiver to adopt.

Suggested Citation

  • Babichenko, Yakov & Talgam-Cohen, Inbal & Xu, Haifeng & Zabarnyi, Konstantin, 2022. "Regret-minimizing Bayesian persuasion," Games and Economic Behavior, Elsevier, vol. 136(C), pages 226-248.
    • Handle: RePEc:eee:gamebe:v:136:y:2022:i:c:p:226-248
    DOI: 10.1016/j.geb.2022.09.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825622001282
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2022.09.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chaithanya Bandi & Dimitris Bertsimas, 2014. "Optimal Design for Multi-Item Auctions: A Robust Optimization Approach," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1012-1038, November.
    2. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    3. David Lingenbrink & Krishnamurthy Iyer, 2019. "Optimal Signaling Mechanisms in Unobservable Queues," Operations Research, INFORMS, vol. 67(5), pages 1397-1416, September.
    4. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    5. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    6. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    7. 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.
    8. Eduardo Perez‐Richet & Vasiliki Skreta, 2022. "Test Design Under Falsification," Econometrica, Econometric Society, vol. 90(3), pages 1109-1142, May.
    9. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    10. Kosterina, Svetlana, 2022. "Persuasion with unknown beliefs," Theoretical Economics, Econometric Society, vol. 17(3), July.
    11. Itai Areili & Yakov Babichenko & Rann Smorodinsky, 2017. "Robust Forecast Aggregation," Papers 1710.02838, arXiv.org, revised Feb 2018.
    12. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    13. Gabriel Carroll, 2019. "Robustness in Mechanism Design and Contracting," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 139-166, August.
    14. Tim Roughgarden & Inbal Talgam-Cohen, 2019. "Approximately Optimal Mechanism Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 355-381, August.
    15. Yingni Guo & Eran Shmaya, 2019. "Robust Monopoly Regulation," Papers 1910.04260, arXiv.org.
    16. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.
    17. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
    18. Piotr Dworczak & Giorgio Martini, 2019. "The Simple Economics of Optimal Persuasion," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 1993-2048.
    19. repec:nas:journl:v:115:y:2018:p:e12135-e12143 is not listed on IDEAS
    20. Leonid Hurwicz & Leonard Shapiro, 1978. "Incentive Structures Maximizing Residual Gain under Incomplete Information," Bell Journal of Economics, The RAND Corporation, vol. 9(1), pages 180-191, Spring.
    21. Laurent Mathevet & Jacopo Perego & Ina Taneva, 2020. "On Information Design in Games," Journal of Political Economy, University of Chicago Press, vol. 128(4), pages 1370-1404.
    22. Ju Hu & Xi Weng, 2021. "Robust persuasion of a privately informed receiver," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 909-953, October.
    23. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    24. Dhangwatnotai, Peerapong & Roughgarden, Tim & Yan, Qiqi, 2015. "Revenue maximization with a single sample," Games and Economic Behavior, Elsevier, vol. 91(C), pages 318-333.
    25. Piotr Dworczak & Alessandro Pavan, 2022. "Preparing for the Worst but Hoping for the Best: Robust (Bayesian) Persuasion," Econometrica, Econometric Society, vol. 90(5), pages 2017-2051, September.
    26. Yingni Guo & Eran Shmaya, 2019. "The Interval Structure of Optimal Disclosure," Econometrica, Econometric Society, vol. 87(2), pages 653-675, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Maxim Senkov & Toygar T. Kerman, 2024. "Changing Simplistic Worldviews," Papers 2401.02867, arXiv.org.

    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. Terstiege, Stefan & Wasser, Cédric, 2023. "Experiments versus distributions of posteriors," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 58-60.
    2. Terstiege, Stefan & Wasser, Cédric, 2020. "Buyer-optimal extensionproof information," Journal of Economic Theory, Elsevier, vol. 188(C).
    3. You Zu & Krishnamurthy Iyer & Haifeng Xu, 2021. "Learning to Persuade on the Fly: Robustness Against Ignorance," Papers 2102.10156, arXiv.org, revised May 2024.
    4. Ozan Candogan & Philipp Strack, 2021. "Optimal Disclosure of Information to a Privately Informed Receiver," Papers 2101.10431, arXiv.org, revised Jan 2022.
    5. Parakhonyak, Alexei & Vikander, Nick, 2023. "Information design through scarcity and social learning," Journal of Economic Theory, Elsevier, vol. 207(C).
    6. 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.
    7. Kolotilin, Anton & Li, Hongyi, 2021. "Relational communication," Theoretical Economics, Econometric Society, vol. 16(4), November.
    8. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Papers 2203.16809, arXiv.org, revised Apr 2022.
    9. Jerry Anunrojwong & Krishnamurthy Iyer & David Lingenbrink, 2024. "Persuading Risk-Conscious Agents: A Geometric Approach," Operations Research, INFORMS, vol. 72(1), pages 151-166, January.
    10. Tsakas, Elias & Tsakas, Nikolas, 2021. "Noisy persuasion," Games and Economic Behavior, Elsevier, vol. 130(C), pages 44-61.
    11. Krishnamurthy Iyer & Haifeng Xu & You Zu, 2023. "Markov Persuasion Processes with Endogenous Agent Beliefs," Papers 2307.03181, arXiv.org, revised Jul 2023.
    12. Whitmeyer, Joseph & Whitmeyer, Mark, 2021. "Mixtures of mean-preserving contractions," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    13. Inostroza, Nicolas A. & Pavan, Alessandro, 0. "Adversarial coordination and public information design," Theoretical Economics, Econometric Society.
    14. Piotr Dworczak & Alessandro Pavan, 2022. "Preparing for the Worst but Hoping for the Best: Robust (Bayesian) Persuasion," Econometrica, Econometric Society, vol. 90(5), pages 2017-2051, September.
    15. Moshe Babaioff & Michal Feldman & Yannai A. Gonczarowski & Brendan Lucier & Inbal Talgam-Cohen, 2020. "Escaping Cannibalization? Correlation-Robust Pricing for a Unit-Demand Buyer," Papers 2003.05913, arXiv.org, revised Aug 2020.
    16. Hedlund, Jonas & Hernandez-Chanto, Allan & Oyarzun, Carlos, 2024. "Contagion management through information disclosure," Journal of Economic Theory, Elsevier, vol. 218(C).
    17. Ehud Lehrer & Dimitry Shaiderman, 2022. "Markovian Persuasion with Stochastic Revelations," Papers 2204.08659, arXiv.org, revised May 2022.
    18. Eitan Sapiro-Gheiler, 2021. "Persuasion with Ambiguous Receiver Preferences," Papers 2109.11536, arXiv.org, revised Aug 2023.
    19. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Working Papers on Central Bank Communication 039, University of Tokyo, Graduate School of Economics.
    20. Farzaneh Farhadi & Demosthenis Teneketzis, 2022. "Dynamic Information Design: A Simple Problem on Optimal Sequential Information Disclosure," Dynamic Games and Applications, Springer, vol. 12(2), pages 443-484, June.

    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:eee:gamebe:v:136:y:2022:i:c:p:226-248. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.