IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/1323.html
   My bibliography  Save this paper

Information Structures in Optimal Auctions

Author

Abstract

A seller wishes to sell an object to one of multiple bidders. The valuations of the bidders are privately known. We consider the joint design problem in which the seller can decide the accuracy by which bidders learn their valuation and to whom to sell at what price. We establish that optimal information structures in an optimal auction exhibit a number of properties: (i) information structures can be represented by monotone partitions, (ii) the cardinality of each partition is finite, (iii) the partitions are asymmetric across agents. These properties imply that the optimal selling strategy of a seller can be implemented by a sequence of exclusive take-it or leave-it offers.

Suggested Citation

  • Dirk Bergemann & Martin Pesendorfer, 2001. "Information Structures in Optimal Auctions," Cowles Foundation Discussion Papers 1323, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1323
    Note: CFP 1218.
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d13/d1323.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Cremer, Jacques & Khalil, Fahad, 1992. "Gathering Information before Signing a Contract," American Economic Review, American Economic Association, vol. 82(3), pages 566-578, June.
    3. 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.
    4. Cremer, Jacques & Khalil, Fahad & Rochet, Jean-Charles, 1998. "Contracts and Productive Information Gathering," Games and Economic Behavior, Elsevier, vol. 25(2), pages 174-193, November.
    5. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, June.
    6. Lewis Tracy R. & Sappington David E. M., 1993. "Ignorance in Agency Problems," Journal of Economic Theory, Elsevier, vol. 61(1), pages 169-183, October.
    7. Motty Perry & Philip J. Reny, 1999. "On The Failure of the Linkage Principle in Multi-Unit Auctions," Econometrica, Econometric Society, vol. 67(4), pages 895-900, July.
    8. Cremer, Jacques & Khalil, Fahad & Rochet, Jean-Charles, 1998. "Strategic Information Gathering before a Contract Is Offered," Journal of Economic Theory, Elsevier, vol. 81(1), pages 163-200, July.
    9. Porter, Robert H, 1995. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Econometrica, Econometric Society, vol. 63(1), pages 1-27, January.
    10. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    11. Thierry, FOUCAULT & Stefano, LOVO, 2003. "Linkage principle, Multi-dimensional Signals and Blind Auctions," HEC Research Papers Series 785, HEC Paris.
    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(3), pages 465-492, September.
    13. Sobel, Joel, 1993. "Information Control in the Principal-Agent Problem," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 259-269, May.
    14. Jean-Jacques Laffont, 1989. "The Economics of Uncertainty and Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121360, April.
    15. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    16. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 705-731.
    17. 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.
    18. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    19. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    20. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    21. Genesove, David, 1993. "Adverse Selection in the Wholesale Used Car Market," Journal of Political Economy, University of Chicago Press, vol. 101(4), pages 644-665, August.
    22. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    23. 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.
    24. Tan, Guofu, 1992. "Entry and R & D in procurement contracting," Journal of Economic Theory, Elsevier, vol. 58(1), pages 41-60, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hagedorn, Marcus, 2009. "The value of information for auctioneers," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2197-2208, September.
    2. Szalay, Dezsö, 2009. "Contracts with endogenous information," Games and Economic Behavior, Elsevier, vol. 65(2), pages 586-625, March.
    3. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    4. Obara Ichiro, 2008. "The Full Surplus Extraction Theorem with Hidden Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-28, March.
    5. Juan-José Ganuza & José S. Penalva, 2005. "On Information and Competition in Private Value Auctions," Working Papers 158, Barcelona School of Economics.
    6. Jacques Crémer & Yossi Spiegel & Charles Zheng, 2009. "Auctions with costly information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 41-72, January.
    7. Jacques Cremer & Yossi Spiegel & Charles Z. Zheng, 2004. "Auctions with costly information acquisition Constrained Bidders," Discussion Papers 1420, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    9. Juan-José Ganuza & José S. Penalva Zuasti, 2005. "On Information and Competition in Private Value Auctions," Working Papers wp2005_0503, CEMFI.
    10. Juan-Jose Ganuza & Jose S. Penalva-Zuasti, 2005. "On Information Revelation in Private Value Auctions," Levine's Working Paper Archive 666156000000000520, David K. Levine.
    11. Hernando-Veciana, Ángel, 2009. "Information acquisition in auctions: Sealed bids vs. open bids," Games and Economic Behavior, Elsevier, vol. 65(2), pages 372-405, March.
    12. Li, Yunan, 2019. "Efficient mechanisms with information acquisition," Journal of Economic Theory, Elsevier, vol. 182(C), pages 279-328.
    13. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, June.
    14. Iossa, Elisabetta & Martimort, David, 2015. "Pessimistic information gathering," Games and Economic Behavior, Elsevier, vol. 91(C), pages 75-96.
    15. Lang, Ruitian, 2019. "Try before you buy: A theory of dynamic information acquisition," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1057-1093.
    16. Manuel Willington, 2004. "Pre-Contractual Information Acquisition," ILADES-UAH Working Papers inv154, Universidad Alberto Hurtado/School of Economics and Business.
    17. Shin, Dongsoo, 2008. "Information acquisition and optimal project management," International Journal of Industrial Organization, Elsevier, vol. 26(4), pages 1032-1043, July.
    18. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 1-18.
    19. Patrick W. Schmitz, 2006. "Information Gathering, Transaction Costs, and the Property Rights Approach," American Economic Review, American Economic Association, vol. 96(1), pages 422-434, March.
    20. Ekmekci, Mehmet & Kos, Nenad, 2023. "Signaling covertly acquired information," Journal of Economic Theory, Elsevier, vol. 214(C).

    More about this item

    Keywords

    Optimal Auction; Private Values; Information Structures; Partitions;
    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:1323. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.