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Robust persuasion of a privately informed receiver

Author

Listed:
  • Ju Hu

    (Peking University)

  • Xi Weng

    (Peking University)

Abstract

This paper studies robust Bayesian persuasion of a privately informed receiver in a binary environment, where an ambiguity-averse sender with a maxmin expected utility function has limited knowledge about the receiver’s private information source. We develop a novel method to solve the sender’s information design problem. Our main result shows that the sender’s optimal information structure can be found within the class of linear-contingent-payoff information structures. We also fully characterize the sender’s optimal linear-contingent-payoff information structure and analyze the impact of ambiguity on the sender’s payoff.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:72:y:2021:i:3:d:10.1007_s00199-020-01299-5
    DOI: 10.1007/s00199-020-01299-5
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Jerry Anunrojwong & Krishnamurthy Iyer & David Lingenbrink, 2024. "Persuading Risk-Conscious Agents: A Geometric Approach," Operations Research, INFORMS, vol. 72(1), pages 151-166, January.
    2. Krishnamurthy Iyer & Haifeng Xu & You Zu, 2023. "Markov Persuasion Processes with Endogenous Agent Beliefs," Papers 2307.03181, arXiv.org, revised Jul 2023.
    3. Eitan Sapiro-Gheiler, 2021. "Persuasion with Ambiguous Receiver Preferences," Papers 2109.11536, arXiv.org, revised Aug 2023.
    4. 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.
    5. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Papers 2203.16809, arXiv.org, revised Apr 2022.
    6. Jonas Hedlund & T. Florian Kauffeldt & Malte Lammert, 2021. "Persuasion under ambiguity," Theory and Decision, Springer, vol. 90(3), pages 455-482, May.
    7. Keegan Harris & Nicole Immorlica & Brendan Lucier & Aleksandrs Slivkins, 2023. "Algorithmic Persuasion Through Simulation," Papers 2311.18138, arXiv.org, revised Feb 2025.
    8. 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.
    9. Takashi Ui, 2022. "Optimal and Robust Disclosure of Public Information," Working Papers on Central Bank Communication 039, University of Tokyo, Graduate School of Economics.
    10. You Zu & Krishnamurthy Iyer & Haifeng Xu, 2021. "Learning to Persuade on the Fly: Robustness Against Ignorance," Papers 2102.10156, arXiv.org, revised May 2024.
    11. Emir Kamenica & Kyungmin Kim & Andriy Zapechelnyuk, 2021. "Bayesian persuasion and information design: perspectives and open issues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 701-704, October.

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    More about this item

    Keywords

    Bayesian persuasion; Ambiguity aversion; Maxmin utility; Private information; Robustness;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • 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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