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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.

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  • 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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    1. Hao Li & Xianwen Shi, 2017. "Discriminatory Information Disclosure," American Economic Review, American Economic Association, vol. 107(11), pages 3363-3385, November.
    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.
    3. Damian R. Beil & Lawrence M. Wein, 2003. "An Inverse-Optimization-Based Auction Mechanism to Support a Multiattribute RFQ Process," Management Science, INFORMS, vol. 49(11), pages 1529-1545, November.
    4. Bernard Lebrun, 2010. "First‐price auctions with resale and with outcomes robust to bid disclosure," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 165-178, March.
    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. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    8. Kenney, Roy W & Klein, Benjamin, 1983. "The Economics of Block Booking," Journal of Law and Economics, University of Chicago Press, vol. 26(3), pages 497-540, October.
    9. Jan Boone & JacobK. Goeree, 2009. "Optimal Privatisation Using Qualifying Auctions," Economic Journal, Royal Economic Society, vol. 119(534), pages 277-297, January.
    10. Green, Jerry R & Laffont, Jean-Jacques, 1987. "Posterior Implementability in a Two-Person Decision Problem," Econometrica, Econometric Society, vol. 55(1), pages 69-94, January.
    11. Calzolari, Giacomo & Pavan, Alessandro, 2006. "On the optimality of privacy in sequential contracting," Journal of Economic Theory, Elsevier, vol. 130(1), pages 168-204, September.
    12. 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.
    13. Loeb, Martin & Magat, Wesley A, 1979. "A Decentralized Method for Utility Regulation," Journal of Law and Economics, University of Chicago Press, vol. 22(2), pages 399-404, October.
    14. 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(3), pages 465-492, September.
    15. Giacomo Calzolari & Alessandro Pavan, 2006. "Monopoly with resale," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 362-375, June.
    16. 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.
    17. Muysken, J. & Rutten, T., 2002. "Disability in the Netherlands: another dutch disease?," Research Memorandum 051, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    18. Alex Gershkov, 2009. "Optimal auctions and information disclosure," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 335-344, December.
    19. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    20. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    21. Jan Boone & Jacob K. Goeree, 2009. "Optimal Privatisation Using Qualifying Auctions," Economic Journal, Royal Economic Society, vol. 119(534), pages 277-297, January.
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    More about this item

    Keywords

    Independent private value auction; Sequential disclosure; Ascending auctions; Information structure; Interim equilibrium; Posterior equilibrium;
    All these keywords.

    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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