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An efficient solution to the informed principal problem

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  • Severinov, Sergei

Abstract

In this paper I study mechanism design by an informed principal. I show that generically this problem has an ex-post efficient solution. In the equilibrium mechanism, the informed principal appropriates all expected social surplus, with each type of her getting all expected social surplus conditional on that type. This outcome is supported as a perfect sequential equilibrium of the informed principal game when the joint probability distribution from which the agents' types are drawn satisfies two conditions: the well-known condition of Cremer and McLean and Identifiability condition introduced by Kosenok and Severinov [Individually rational, budget-balanced mechanisms and allocation of surplus, J. Econ. Theory (2002), forthcoming]. Conversely, these conditions are necessary for an ex-post efficient outcome to be attainable in an equilibrium of the informed principal game. Under these conditions only our equilibrium outcome constitutes a neutral optimum, i.e. cannot be eliminated by any reasonable concept of blocking [R. Myerson, Mechanism design by an informed principal, Econometrica 51 (1983) 1767-1797]. Identifiability and Cremer-McLean conditions are generic when there are at least three agents, and none of them has more types than the number of type profiles of the other agents.

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  • Severinov, Sergei, 2008. "An efficient solution to the informed principal problem," Journal of Economic Theory, Elsevier, vol. 141(1), pages 114-133, July.
    • Handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:114-133
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    Cited by:

    1. Mylovanov, Tymofiy & Tröger, Thomas, 2008. "Optimal Auction Design and Irrelevance of Private Information," Bonn Econ Discussion Papers 21/2008, University of Bonn, Bonn Graduate School of Economics (BGSE).
    2. Thomas Troeger & Tymofiy Mylovanov, 2010. "Optimal Auction Design and Irrelevance of Privacy of Information," 2010 Meeting Papers 1039, Society for Economic Dynamics.
    3. Rachmilevitch, Shiran, 2015. "Bribing in second-price auctions," Games and Economic Behavior, Elsevier, vol. 92(C), pages 191-205.
    4. Anastasios Dosis, 2022. "On the informed principal model with common values," RAND Journal of Economics, RAND Corporation, vol. 53(4), pages 792-825, December.
    5. Nishimura, Takeshi, 2022. "Informed principal problems in bilateral trading," Journal of Economic Theory, Elsevier, vol. 204(C).
    6. Mostafa Beshkar & Jee‐Hyeong Park, 2021. "Dispute Settlement With Second‐Order Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(4), pages 1433-1452, November.
    7. Wagner, Christoph & Mylovanov, Tymofiy & Tröger, Thomas, 2015. "Informed-principal problem with moral hazard, risk neutrality, and no limited liability," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 280-289.
    8. Davoodalhosseini, Seyed Mohammadreza, 2019. "Constrained efficiency with adverse selection and directed search," Journal of Economic Theory, Elsevier, vol. 183(C), pages 568-593.
    9. Manitra A. Rakotoarisoa, 2016. "Trade with Endogenous Market Power Under Asymmetric and Incomplete Information," Journal of Industry, Competition and Trade, Springer, vol. 16(4), pages 423-440, December.
    10. Takeshi Nishimura, 2019. "Informed Principal Problems in Bilateral Trading," Papers 1906.10311, arXiv.org, revised Feb 2022.
    11. Eric van Damme & Xu Lang, 2022. "Two-Person Bargaining when the Disagreement Point is Private Information," Papers 2211.06830, arXiv.org, revised Jan 2024.
    12. Jeremy Bertomeu & Davide Cianciaruso, 2018. "Verifiable disclosure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 1011-1044, June.
    13. Xin Zhao, 2023. "Auction design by an informed seller: A foundation of reserve price signalling," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(3), pages 1161-1190, August.

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