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The Interval Structure of Optimal Disclosure

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  • Yingni Guo
  • Eran Shmaya

Abstract

A sender persuades a receiver to accept a project by disclosing information about a payoff‐relevant quality. The receiver has private information about the quality, referred to as his type. We show that the sender‐optimal mechanism takes the form of nested intervals: each type accepts on an interval of qualities and a more optimistic type's interval contains a less optimistic type's interval. This nested‐interval structure offers a simple algorithm to solve for the optimal disclosure and connects our problem to the monopoly screening problem. The mechanism is optimal even if the sender conditions the disclosure mechanism on the receiver's reported type.

Suggested Citation

  • Yingni Guo & Eran Shmaya, 2019. "The Interval Structure of Optimal Disclosure," Econometrica, Econometric Society, vol. 87(2), pages 653-675, March.
    • Handle: RePEc:wly:emetrp:v:87:y:2019:i:2:p:653-675
    DOI: 10.3982/ECTA15668
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    Cited by:

    1. Yingkai Li & Boli Xu, 2024. "Falsifiable Test Design in Coordination Games," Papers 2405.18521, arXiv.org.
    2. 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.
    3. Zeng, Yishu, 2023. "Derandomization of persuasion mechanisms," Journal of Economic Theory, Elsevier, vol. 212(C).
    4. Anton Kolotilin & Andriy Zapechelnyuk, 2018. "Persuasion Meets Delegation," Discussion Papers 2018-06, School of Economics, The University of New South Wales.
    5. Carl Heese & Stephan Lauermann, 2021. "Persuasion and Information Aggregation in Elections," ECONtribute Discussion Papers Series 112, University of Bonn and University of Cologne, Germany.
    6. 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.
    7. Yaron Leitner & Basil Williams, 2023. "Model Secrecy and Stress Tests," Journal of Finance, American Finance Association, vol. 78(2), pages 1055-1095, April.
    8. Lee, Logan M. & Waddell, Glen R., 2021. "Diversity and the timing of preference in hiring decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 432-459.
    9. Azarmsa, Ehsan & Cong, Lin William, 2020. "Persuasion in relationship finance," Journal of Financial Economics, Elsevier, vol. 138(3), pages 818-837.
    10. Terstiege, Stefan & Wasser, Cédric, 2020. "Buyer-optimal extensionproof information," Journal of Economic Theory, Elsevier, vol. 188(C).
    11. Ricardo Alonso & Odilon Câmara, 2024. "Organizing Data Analytics," Management Science, INFORMS, vol. 70(5), pages 3123-3143, May.
    12. Pham, Hien, "undated". "a reprendre_ WP annulé," TSE Working Papers 21-1263, Toulouse School of Economics (TSE).
    13. Lyu, Chen, 2023. "Information design for selling search goods and the effect of competition," Journal of Economic Theory, Elsevier, vol. 213(C).
    14. Lily Ling Yang, 2024. "Information Design with Costly State Verifi cation," CRC TR 224 Discussion Paper Series crctr224_2024_502, University of Bonn and University of Mannheim, Germany.
    15. Ozan Candogan & Philipp Strack, 2021. "Optimal Disclosure of Information to a Privately Informed Receiver," Papers 2101.10431, arXiv.org, revised Jan 2022.
    16. Meng, Delong, 2021. "Learning from like-minded people," Games and Economic Behavior, Elsevier, vol. 126(C), pages 231-250.
    17. Shih-Tang Su & Vijay G. Subramanian & Grant Schoenebeck, 2021. "Bayesian Persuasion in Sequential Trials," Papers 2110.09594, arXiv.org, revised Nov 2021.
    18. 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.
    19. Candogan, Ozan & Strack, Philipp, 2023. "Optimal disclosure of information to privately informed agents," Theoretical Economics, Econometric Society, vol. 18(3), July.
    20. Arieli, Itai & Babichenko, Yakov & Smorodinsky, Rann & Yamashita, Takuro, 2023. "Optimal persuasion via bi-pooling," Theoretical Economics, Econometric Society, vol. 18(1), January.
    21. Inostroza, Nicolas A. & Pavan, Alessandro, 0. "Adversarial coordination and public information design," Theoretical Economics, Econometric Society.
    22. Maryam Saeedi & Ali Shourideh, 2020. "Optimal Rating Design under Moral Hazard," Papers 2008.09529, arXiv.org, revised Jul 2023.
    23. Terstiege, Stefan & Wasser, Cédric, 2023. "Experiments versus distributions of posteriors," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 58-60.
    24. Clement Minaudier, 2022. "The Value of Confidential Policy Information: Persuasion, Transparency, and Influence," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 38(2), pages 570-612.

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