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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
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    References listed on IDEAS

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

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