IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Uniqueness of the Equilibrium in First-Price Auctions

  • Bernard Lebrun

    (Department of Economics, York University)

If the value cumulative distribution functions are log-concave at the highest lower extremity of their supports of the first-price auction in the asymmetric indepent private values model.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: First version, 2004
Download Restriction: no

Paper provided by York University, Department of Economics in its series Discussion Papers with number 1.

in new window

Length: 48 pages
Date of creation: May 2004
Date of revision: May 2004
Handle: RePEc:yca:dpaper:2004_02
Contact details of provider: Postal:
4700 Keele Street, Toronto, Ontario, M3J 1P3

Phone: (416) 736-5083
Fax: (416) 736-5987
Web page:

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
  2. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  3. Marshall Robert C. & Meurer Michael J. & Richard Jean-Francois & Stromquist Walter, 1994. "Numerical Analysis of Asymmetric First Price Auctions," Games and Economic Behavior, Elsevier, vol. 7(2), pages 193-220, September.
  4. Thomas, Charles J., 1997. "Disincentives for cost-reducing investment," Economics Letters, Elsevier, vol. 57(3), pages 359-363, December.
  5. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-99, August.
  6. Kenneth Hendricks & Robert H. Porter, 1989. "Collusion in Auctions," Annals of Economics and Statistics, GENES, issue 15-16, pages 217-230.
  7. Robert H. Porter & J. Douglas Zona, 1997. "Ohio School Milk Markets: An Analysis of Bidding," NBER Working Papers 6037, National Bureau of Economic Research, Inc.
  8. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
  9. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
  10. 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 125-42, February.
  11. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 439-454.
  12. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  13. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  14. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
  15. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September.
  16. Lebrun, Bernard, 1996. "Existence of an Equilibrium in First Price Auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 421-43, April.
  17. Waehrer, Keith, 1999. "Asymmetric private values auctions with application to joint bidding and mergers," International Journal of Industrial Organization, Elsevier, vol. 17(3), pages 437-452, April.
  18. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 445-469, 08.
  19. Dalkir, Serdar & Logan, John W. & Masson, Robert T., 2000. "Mergers in symmetric and asymmetric noncooperative auction markets: the effects on prices and efficiency," International Journal of Industrial Organization, Elsevier, vol. 18(3), pages 383-413, April.
  20. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 187-205.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:yca:dpaper:2004_02. 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)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.