IDEAS home Printed from https://ideas.repec.org/p/yca/wpaper/2008_06.html
   My bibliography  Save this paper

First-Price, Second-Price, and English Auctions with Resale

Author

Listed:
  • Bernard Lebrun

    () (York University, Toronto)

Abstract

In the independent-private-value model, we allow resale among bidders following a first-price sealed-bid, second-price sealed-bid, or English auction with two bidders. We consider two regimes with regard to the disclosure of the sealed bids: full disclosure and no disclosure. Either the auction winner or the auction loser chooses the resale mechanism. Thanks to three key properties our model shares with the common-value model, we obtain explicit formulas for the equilibria. We circumvent the “ratchet effect,” by “randomizing” every pure equilibrium under no disclosure into an equivalent behavioral equilibrium under full disclosure. We compare the auctioneer’s revenues across auctions and bargaining procedures. We present some nbidder extensions.

Suggested Citation

  • Bernard Lebrun, 2008. "First-Price, Second-Price, and English Auctions with Resale," Working Papers 2008_06, York University, Department of Economics.
  • Handle: RePEc:yca:wpaper:2008_06
    as

    Download full text from publisher

    File URL: http://dept.econ.yorku.ca/research/workingPapers/working_papers/2008/FPSPEAR-wp-lebrun.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Morton I. Kamien & Lode Li & Dov Samet, 1989. "Bertrand Competition with Subcontracting," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 553-567, Winter.
    2. Quang Vuong & Sandra Campo & Isabelle Perrigne, 2003. "Asymmetry in first-price auctions with affiliated private values," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 179-207.
    3. Goeree, Jacob K., 2003. "Bidding for the future: signaling in auctions with an aftermarket," Journal of Economic Theory, Elsevier, vol. 108(2), pages 345-364, February.
    4. Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn.
    5. Haile, Philip A., 2000. "Partial Pooling at the Reserve Price in Auctions with Resale Opportunities," Games and Economic Behavior, Elsevier, vol. 33(2), pages 231-248, November.
    6. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 427-454, June.
    7. 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.
    8. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February.
    9. Rodney J. Garratt & Thomas Trˆger & Charles Z. Zheng, 2009. "Collusion via Resale," Econometrica, Econometric Society, vol. 77(4), pages 1095-1136, July.
    10. Hafalir, Isa & Krishna, Vijay, 2009. "Revenue and efficiency effects of resale in first-price auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 589-602, September.
    11. Subir Bose & George Deltas, 2007. "Exclusive Versus Non-exclusive Dealing in Auctions with Resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 1-17, April.
    12. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    13. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March.
    14. Donald B. Hausch, 1986. "Multi-Object Auctions: Sequential vs. Simultaneous Sales," Management Science, INFORMS, vol. 32(12), pages 1599-1610, December.
    15. Milgrom, Paul & Weber, Robert J., 1982. "The value of information in a sealed-bid auction," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 105-114, June.
    16. Rod Garratt & Thomas Tröger, 2006. "Speculation in Standard Auctions with Resale," Econometrica, Econometric Society, vol. 74(3), pages 753-769, May.
    17. Marco Pagnozzi, 2007. "Bidding to lose? Auctions with resale," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1090-1112, December.
    18. Philip A. Haile, 2001. "Auctions with Resale Markets: An Application to U.S. Forest Service Timber Sales," American Economic Review, American Economic Association, vol. 91(3), pages 399-427, June.
    19. Robert B. Wilson, 1967. "Competitive Bidding with Asymmetric Information," Management Science, INFORMS, vol. 13(11), pages 816-820, July.
    20. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-883, December.
    21. Parreiras Sergio O., 2006. "Affiliated Common Value Auctions with Differential Information: The Two Bidder Case," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-19, December.
    22. Engelbrecht-Wiggans, Richard & Milgrom, Paul R. & Weber, Robert J., 1983. "Competitive bidding and proprietary information," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 161-169, April.
    23. Haile, Philip A., 2003. "Auctions with private uncertainty and resale opportunities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 72-110, January.
    24. Bikhchandani, Sushil, 1988. "Reputation in repeated second-price auctions," Journal of Economic Theory, Elsevier, vol. 46(1), pages 97-119, October.
    25. Klemperer, Paul, 1998. "Auctions with almost common values: The 'Wallet Game' and its applications," European Economic Review, Elsevier, vol. 42(3-5), pages 757-769, May.
    26. Gupta, Madhurima & Lebrun, Bernard, 1999. "First price auctions with resale," Economics Letters, Elsevier, vol. 64(2), pages 181-185, August.
    27. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 511-518.
    28. Gale, Ian L & Hausch, Donald B & Stegeman, Mark, 2000. "Sequential Procurement with Subcontracting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(4), pages 989-1020, November.
    29. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    30. Gopal Das Varma, 2002. "Standard Auctions with Identity-Dependent Externalities," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 689-708, Winter.
    31. Haile,P.A., 1999. "Auctions with resale," Working papers 33, Wisconsin Madison - Social Systems.
    32. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    33. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    34. Keith Waehrer, 1999. "The ratchet effect and bargaining power in a two-stage model of competitive bidding," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 171-181.
    Full references (including those not matched with items on IDEAS)

    More about this item

    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:yca:wpaper:2008_06. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Support). General contact details of provider: http://edirc.repec.org/data/dyorkca.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.