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Managing Persuasion Robustly: The Optimality of Quota Rules

Author

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  • Dirk Bergemann

    (Yale University)

  • Tan Gan

    (Yale University)

  • Yingkai Li

    (Yale University)

Abstract

We study a sender-receiver model where the receiver can commit to a decision rule before the sender determines the information policy. The decision rule can depend on the signal structure and the signal realization that the sender adopts. This framework captures applications where a decision-maker (the receiver) solicit advice from an interested party (sender). In these applications, the receiver faces uncertainty regarding the senderÕs preferences and the set of feasible signal structures. Consequently, we adopt a unified robust analysis framework that includes max-min utility, min-max regret, and min-max approximation ratio as special cases. We show that it is optimal for the receiver to sacrifice ex-post optimality to perfectly align the senderÕs incentive. The optimal decision rule is a quota rule, i.e., the decision rule maximizes the receiverÕs ex-ante payoff subject to the constraint that the marginal distribution over actions adheres to a consistent quota, regardless of the senderÕs chosen signal structure.

Suggested Citation

  • Dirk Bergemann & Tan Gan & Yingkai Li, 2023. "Managing Persuasion Robustly: The Optimality of Quota Rules," Cowles Foundation Discussion Papers 2372, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:2372
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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. 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.
    3. 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.
    4. 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..
    5. 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.
    6. 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.
    7. Rahul Deb & Mallesh M. Pai & Maher Said, 2018. "Evaluating Strategic Forecasters," American Economic Review, American Economic Association, vol. 108(10), pages 3057-3103, October.
    8. Geoffroy de Clippel & Xu Zhang, 2022. "Non-Bayesian Persuasion," Journal of Political Economy, University of Chicago Press, vol. 130(10), pages 2594-2642.
    9. Chen, Bo, 2012. "All-or-nothing payments," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 133-142.
    10. Carroll, Gabriel, 2019. "Robust incentives for information acquisition," Journal of Economic Theory, Elsevier, vol. 181(C), pages 382-420.
    11. 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.
    12. Jason D. Hartline & Brendan Lucier, 2015. "Non-optimal Mechanism Design," American Economic Review, American Economic Association, vol. 105(10), pages 3102-3124, October.
    13. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    14. Amine Allouah & Omar Besbes, 2020. "Prior-Independent Optimal Auctions," Management Science, INFORMS, vol. 66(10), pages 4417-4432, October.
    15. Jerry Anunrojwong & Santiago R. Balseiro & Omar Besbes, 2023. "Robust Auction Design with Support Information," Papers 2305.09065, arXiv.org, revised Aug 2023.
    16. 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.
    17. 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.
    18. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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