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Type-contingent Information Disclosure

Author

Listed:
  • Yamashita, Takuro
  • Zhu, Shuguang

Abstract

We study a mechanism design problem where the principal can also manipulate the agent’s information about a payoff-relevant state. Jointly designing information and allocation rule is proved equivalent to certain multi-dimensional screening problem. Based on this equivalence, when the agent’s types are positively-related, full disclosure is proved optimal under regularity conditions; while with negatively-related types, the optimal disclosure policy takes the form of a bad-state alert, which is in general a type-contingent disclosure policy. In a binary environment, we fully charac- terize the optimal mechanisms and discuss when type-contingent disclosure strictly benefits the principal and its welfare consequences.

Suggested Citation

  • Yamashita, Takuro & Zhu, Shuguang, 2021. "Type-contingent Information Disclosure," TSE Working Papers 21-1242, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:125878
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    References listed on IDEAS

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    1. Kai Hao Yang, 2020. "Selling Consumer Data for Profit: Optimal Market-Segmentation Design and its Consequences," Cowles Foundation Discussion Papers 2258, Cowles Foundation for Research in Economics, Yale University.
    2. Lewis, Tracy R. & Sappington, David E. M., 1991. "All-or-nothing information control," Economics Letters, Elsevier, vol. 37(2), pages 111-113, October.
    3. Lewis, Tracy R & Sappington, David E M, 1994. "Supplying Information to Facilitate Price Discrimination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 309-327, May.
    4. Dirk Bergemann & Alessandro Bonatti, 2015. "Selling Cookies," American Economic Journal: Microeconomics, American Economic Association, vol. 7(3), pages 259-294, August.
    5. Simon P. Anderson & Régis Renault, 2006. "Advertising Content," American Economic Review, American Economic Association, vol. 96(1), pages 93-113, March.
    6. Hao Li & Xianwen Shi, 2017. "Discriminatory Information Disclosure," American Economic Review, American Economic Association, vol. 107(11), pages 3363-3385, November.
    7. Dirk Bergemann & Alessandro Bonatti & Alex Smolin, 2018. "The Design and Price of Information," American Economic Review, American Economic Association, vol. 108(1), pages 1-48, January.
    8. Kos, Nenad & Messner, Matthias, 2013. "Extremal incentive compatible transfers," Journal of Economic Theory, Elsevier, vol. 148(1), pages 134-164.
    9. Bergemann, Dirk & Pesendorfer, Martin, 2007. "Information structures in optimal auctions," Journal of Economic Theory, Elsevier, vol. 137(1), pages 580-609, November.
    10. Justin P. Johnson & David P. Myatt, 2006. "On the Simple Economics of Advertising, Marketing, and Product Design," American Economic Review, American Economic Association, vol. 96(3), pages 756-784, June.
    11. Krähmer, Daniel & Strausz, Roland, 2015. "Ex post information rents in sequential screening," Games and Economic Behavior, Elsevier, vol. 90(C), pages 257-273.
    12. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    13. Yamashita, Takuro, 2018. "Optimal Public Information Disclosure by Mechanism Designer," TSE Working Papers 18-936, Toulouse School of Economics (TSE).
    14. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    Cited by:

    1. Zhu, Shuguang, 2023. "Private disclosure with multiple agents," Journal of Economic Theory, Elsevier, vol. 212(C).
    2. Jacopo Bizzotto & Adrien Vigier, 2022. "Sorting and Grading," Papers 2208.10894, arXiv.org, revised Feb 2024.

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    More about this item

    Keywords

    Information design ; Bayesian persuasion; Mechanism design;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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