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Managing persuasion robustly: the optimality of quota rules

Author

Listed:
  • Bergemann, Dirk
  • Gan, Tan
  • Li, Yingkai

Abstract

We study a sender-receiver game in which the receiver can commit to a decision rule before the sender determines the information policy. We ask how the receiver should commit, in advance, to a rule that maps the information of the sender into decisions-when the receiver knows neither the sender’s true preferences nor the full range of information the sender could supply. To handle this dual uncertainty, we adopt a unified robust framework that nests max-min utility, min-max regret, and min-max competitive ratio as special cases. Across all criteria, the same answer emerges: the optimal rule is always a quota rule.

Suggested Citation

  • Bergemann, Dirk & Gan, Tan & Li, Yingkai, 2026. "Managing persuasion robustly: the optimality of quota rules," LSE Research Online Documents on Economics 140351, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:140351
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    File URL: https://researchonline.lse.ac.uk/id/eprint/140351/
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    References listed on IDEAS

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    1. Stoye, Jörg, 2011. "Axioms for minimax regret choice correspondences," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2226-2251.
    2. Nathan Yoder, 2022. "Designing Incentives for Heterogeneous Researchers," Journal of Political Economy, University of Chicago Press, vol. 130(8), pages 2018-2054.
    3. Mario Ghossoub & David Saunders, 2021. "On the continuity of the feasible set mapping in optimal transport," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 113-117, April.
    4. Laux, Christian, 2001. "Limited-Liability and Incentive Contracting with Multiple Projects," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 514-526, Autumn.
    5. Yingni Guo & Eran Shmaya, 2025. "Robust Monopoly Regulation," American Economic Review, American Economic Association, vol. 115(2), pages 599-634, February.
    6. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    7. Kosterina, Svetlana, 2022. "Persuasion with unknown beliefs," Theoretical Economics, Econometric Society, vol. 17(3), July.
    8. Elliot Lipnowski & Doron Ravid & Denis Shishkin, 2022. "Persuasion via Weak Institutions," Journal of Political Economy, University of Chicago Press, vol. 130(10), pages 2705-2730.
    9. Amine Allouah & Omar Besbes, 2020. "Prior-Independent Optimal Auctions," Management Science, INFORMS, vol. 66(10), pages 4417-4432, October.
    10. Dirk Bergemann & Karl Schlag, 2012. "Robust Monopoly Pricing," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 13, pages 417-441, World Scientific Publishing Co. Pte. Ltd..
    11. Benjamin Brooks & Songzi Du, 2021. "Optimal Auction Design With Common Values: An Informationally Robust Approach," Econometrica, Econometric Society, vol. 89(3), pages 1313-1360, May.
    12. Jerry Anunrojwong & Santiago R. Balseiro & Omar Besbes, 2023. "Robust Auction Design with Support Information," Papers 2305.09065, arXiv.org, revised Jan 2025.
    13. Yingni Guo & Eran Shmaya, 2023. "Regret-Minimizing Project Choice," Papers 2309.00214, arXiv.org.
    14. Rahul Deb & Mallesh M. Pai & Maher Said, 2018. "Evaluating Strategic Forecasters," American Economic Review, American Economic Association, vol. 108(10), pages 3057-3103, October.
    15. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    16. Geoffroy de Clippel & Xu Zhang, 2022. "Non-Bayesian Persuasion," Journal of Political Economy, University of Chicago Press, vol. 130(10), pages 2594-2642.
    17. Yingni Guo & Eran Shmaya, 2023. "Regret‐Minimizing Project Choice," Econometrica, Econometric Society, vol. 91(5), pages 1567-1593, September.
    18. Chen, Bo, 2012. "All-or-nothing payments," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 133-142.
    19. Chakraborty, Archishman & Harbaugh, Rick, 2007. "Comparative cheap talk," Journal of Economic Theory, Elsevier, vol. 132(1), pages 70-94, January.
      • Archishman Chakraborty & Rick Harbaugh, 2004. "Comparative Cheap Talk," Working Papers 2004-08, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    20. Rui R. Zhao, 2008. "All-or-Nothing Monitoring," American Economic Review, American Economic Association, vol. 98(4), pages 1619-1628, September.
    21. 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.
    22. Carroll, Gabriel, 2019. "Robust incentives for information acquisition," Journal of Economic Theory, Elsevier, vol. 181(C), pages 382-420.
    23. Carmen Beviá & Luis Corchón, 2022. "Contests with dominant strategies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1-19, November.
    24. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
    25. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    26. Jason D. Hartline & Brendan Lucier, 2015. "Non-optimal Mechanism Design," American Economic Review, American Economic Association, vol. 105(10), pages 3102-3124, October.
    27. 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.
    28. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Keywords

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    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

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