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Optimal discriminatory disclosure

Author

Listed:
  • Guo, Yingni
  • Hao, Li
  • Shi, Xianwen

Abstract

A seller of an indivisible good designs a selling mechanism for a buyer whose private information (his type) is the distribution of his value for the good. A selling mechanism includes both a menu of sequential pricing, and a menu of information disclosure about the realized value that the buyer is allowed to learn privately. In a model of two types with an increasing likelihood ratio, we show that under some regularity conditions the disclosure policy in an optimal mechanism has a nested interval structure: the high type is allowed to learn whether his value is greater than the seller's cost, while the low type is allowed to learn whether his value is in an interval above the cost. The interval of the low type may exclude values at the top of the distribution to reduce the information rent of the high type. Information discrimination is in general necessary in an optimal mechanism.

Suggested Citation

  • Guo, Yingni & Hao, Li & Shi, Xianwen, 2025. "Optimal discriminatory disclosure," Journal of Economic Theory, Elsevier, vol. 224(C).
  • Handle: RePEc:eee:jetheo:v:224:y:2025:i:c:s0022053125000183
    DOI: 10.1016/j.jet.2025.105972
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    References listed on IDEAS

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    1. Alex Smolin, 2023. "Disclosure and pricing of attributes," RAND Journal of Economics, RAND Corporation, vol. 54(4), pages 570-597, December.
    2. Hao Li & Xianwen Shi, 2017. "Discriminatory Information Disclosure," American Economic Review, American Economic Association, vol. 107(11), pages 3363-3385, November.
    3. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    4. Zhu, Shuguang, 2023. "Private disclosure with multiple agents," Journal of Economic Theory, Elsevier, vol. 212(C).
    5. Bergemann, Dirk & Pesendorfer, Martin, 2007. "Information structures in optimal auctions," Journal of Economic Theory, Elsevier, vol. 137(1), pages 580-609, November.
    6. Bergemann, Dirk & Wambach, Achim, 2015. "Sequential information disclosure in auctions," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 1074-1095.
    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. Dong Wei & Brett Green, 2024. "(Reverse) Price Discrimination with Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 16(2), pages 267-295, May.
    9. Daniel Krähmer & Roland Strausz, 2015. "Optimal Sales Contracts with Withdrawal Rights," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 762-790.
    10. Jingfeng Lu & Lixin Ye & Xin Feng, 2021. "Orchestrating Information Acquisition," American Economic Journal: Microeconomics, American Economic Association, vol. 13(4), pages 420-465, November.
    11. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    12. Hoffmann, Florian & Inderst, Roman, 2011. "Pre-sale information," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2333-2355.
    13. 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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    More about this item

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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