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Sequential Information Disclosure in Auctions

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Abstract

We consider the design of an optimal auction in which the seller can determine the allocation and the disclosure rule of the mechanism. Thus, in contrast to the standard analysis of a optimal auctions, the seller can explicitly design the disclosure of the information received by each bidder as his private information. We show that the optimal disclosure rule is a sequential disclosure rule, implemented in an ascending price auction. In the optimal disclosure mechanism, each losing bidder learns his true valuation, but the winning bidder only learns that his valuation is sufficiently high to win the auction. We show that in the optimal auction, the posterior incentive and participation constraints of all the bidders are satisfied. In the special case in which the bidders have no private information initially, the seller can extract the entire surplus.

Suggested Citation

  • Dirk Bergemann & Achim Wambach, 2013. "Sequential Information Disclosure in Auctions," Cowles Foundation Discussion Papers 1900, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1900
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    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d19/d1900.pdf
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    References listed on IDEAS

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    1. Hao Li & Xianwen Shi, 2013. "Discriminatory Information Disclosure," Working Papers tecipa-497, University of Toronto, Department of Economics.
    2. Ye, Lixin, 2007. "Indicative bidding and a theory of two-stage auctions," Games and Economic Behavior, Elsevier, vol. 58(1), pages 181-207, January.
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    10. Blumenthal, Marsha A, 1988. "Auctions with Constrained Information: Blind Bidding for Motion Pictures," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 191-198, May.
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    12. Kavajecz, Kenneth A. & Keim, Donald B., 2005. "Packaging Liquidity: Blind Auctions and Transaction Efficiencies," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(03), pages 465-492, September.
    13. Jan Boone & JacobK. Goeree, 2009. "Optimal Privatisation Using Qualifying Auctions," Economic Journal, Royal Economic Society, vol. 119(534), pages 277-297, January.
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    15. Elena Grigorieva & P. Herings & Rudolf Müller & Dries Vermeulen, 2007. "The private value single item bisection auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 107-118, January.
    16. Alex Gershkov, 2009. "Optimal auctions and information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 335-344, December.
    17. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
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    Citations

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    Cited by:

    1. Dirk Bergemann & Alessandro Pavan, 2015. "Introduction to JET Symposium Issue on "Dynamic Contracts and Mechanism Design"," Cowles Foundation Discussion Papers 2016, Cowles Foundation for Research in Economics, Yale University.
    2. Hao Li & Xianwen Shi, 2013. "Discriminatory Information Disclosure," Working Papers tecipa-497, University of Toronto, Department of Economics.
    3. repec:eee:gamebe:v:106:y:2017:i:c:p:317-328 is not listed on IDEAS
    4. Krähmer, Daniel & Strausz, Roland, 2015. "Ex post information rents in sequential screening," Games and Economic Behavior, Elsevier, vol. 90(C), pages 257-273.
    5. Ye, Lixin & Zhang, Chenglin, 2017. "Monopolistic nonlinear pricing with consumer entry," Theoretical Economics, Econometric Society, vol. 12(1), January.
    6. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    7. Asseyer, Andreas, 2016. "Optimal Information Disclosure and Collusion," Annual Conference 2016 (Augsburg): Demographic Change 145779, Verein für Socialpolitik / German Economic Association.
    8. Krähmer, Daniel & Strausz, Roland, 2017. "Sequential versus static screening: An equivalence result," Games and Economic Behavior, Elsevier, vol. 106(C), pages 317-328.

    More about this item

    Keywords

    Independent private value auction; Sequential disclosure; Ascending auctions; Information structure; Interim equilibrium; Posterior equilibrium;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • 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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