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Asymmetry in first-price auctions with affiliated private values

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Author Info
Quang Vuong (University of Southern California, Department of Economics, Los Angeles, CA 90089-0253, USA)
Sandra Campo (University of North Carolina, Department of Economics, Chapel Hill, NC 27599-3305, USA)
Isabelle Perrigne (University of Southern California, Department of Economics, Los Angeles, CA 90089-0253, USA)
Abstract

Collusion and heterogeneity across firms may introduce asymmetry in bidding games. A major difficulty in asymmetric auctions is that the Bayesian Nash equilibrium strategies are solutions of an intractable system of differential equations. We propose a simple method for estimating asymmetric first-price auctions with affiliated private values. Considering two types of bidders, we show that these differential equations can be rewritten using the observed bid distribution. We establish the identification of the model, characterize its theoretical restrictions, and propose a two-step non-parametric estimation procedure for estimating the private value distributions. An empirical analysis of joint bidding in OCS auctions is provided. Copyright © 2003 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/jae.697
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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 18 (2003)
Issue (Month): 2 ()
Pages: 179-207
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Handle: RePEc:jae:japmet:v:18:y:2003:i:2:p:179-207

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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.:
  1. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
  2. Laffont, Jean-Jacques & Ossard, Herve & Vuong, Quang, 1995. "Econometrics of First-Price Auctions," Econometrica, Econometric Society, vol. 63(4), pages 953-80, July. [Downloadable!] (restricted)
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  3. Elyakime, Bernard & Laffont, Jean-Jacques & Loisel, Patrice & Vuong, Quang, 1993. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," IDEI Working Papers 27, Institut d'Économie Industrielle (IDEI), Toulouse.
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  4. Li, Tong & Perrigne, Isabelle & Vuong, Quang, 2000. "Conditionally independent private information in OCS wildcat auctions," Journal of Econometrics, Elsevier, vol. 98(1), pages 129-161, September. [Downloadable!] (restricted)
  5. Gilley, Otis W & Karels, Gordon V & Lyon, Randolph M, 1985. "Joint Ventures and Offshore Oil Lease Sales," Economic Inquiry, Oxford University Press, vol. 23(2), pages 321-39, April.
  6. Porter, Robert H & Zona, J Douglas, 1993. "Detection of Bid Rigging in Procurement Auctions," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 518-38, June. [Downloadable!] (restricted)
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  7. Paarsch, Harry J., 1992. "Deciding between the common and private value paradigms in empirical models of auctions," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 191-215. [Downloadable!] (restricted)
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  8. 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 865-83, December. [Downloadable!] (restricted)
  9. Laffont, Jean-Jacques & Vuong, Quang, 1996. "Structural Analysis of Auction Data," American Economic Review, American Economic Association, vol. 86(2), pages 414-20, May. [Downloadable!] (restricted)
  10. Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 439-54, July.
  11. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 413-38, July.
  12. Jofre-Bonet, Mireia & Pesendorfer, Martin, 2000. "Bidding behavior in a repeated procurement auction: A summary," European Economic Review, Elsevier, vol. 44(4-6), pages 1006-1020, May. [Downloadable!] (restricted)
  13. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347. [Downloadable!] (restricted)
  14. 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.
  15. Hendricks, Kenneth & Porter, Robert H, 1992. "Joint Bidding in Federal OCS Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 506-11, May. [Downloadable!] (restricted)
  16. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June. [Downloadable!] (restricted)
  17. 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.
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  18. Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Blackwell Publishing, vol. 67(3), pages 381-411, July.
  19. Matthew Shum, 2000. "Nonparametric Tests for Common Values," Econometric Society World Congress 2000 Contributed Papers 1598, Econometric Society. [Downloadable!]
  20. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  21. 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.
  22. Laffont, J.J., 1996. "Game Theory and Empirical Economics: The Case of Auction Data," Papers 95.394, Toulouse - GREMAQ.
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  23. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
  24. Ken Hendricks & Rob Porter & Guofu Tan, 2000. "Joint Bidding in Federal Offshore Oil and Gas Lease Auctions," Econometric Society World Congress 2000 Contributed Papers 1763, Econometric Society. [Downloadable!]
  25. Hendricks, Kenneth & Porter, Robert H & Wilson, Charles A, 1994. "Auctions for Oil and Gas Leases with an Informed Bidder and a Random Reservation Price," Econometrica, Econometric Society, vol. 62(6), pages 1415-44, November. [Downloadable!] (restricted)
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  26. 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. [Downloadable!] (restricted)
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  27. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  28. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January. [Downloadable!] (restricted)
  29. Donald, Stephen G & Paarsch, Harry J, 1993. "Piecewise Pseudo-maximum Likelihood Estimation in Empirical Models of Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 121-48, February. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, 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.)

  1. Sudip Gupta, 2004. "Endogenous Asymmetry and Entry in Sequential Multi-Unit Auctions: Identification and Estimation," Econometric Society 2004 North American Summer Meetings 566, Econometric Society. [Downloadable!]
  2. Cantillon, Estelle & Pesendorfer, Martin, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  3. Alan Mehlenbacher, 2007. "Multiagent System Platform for Auction Simulations," Department Discussion Papers 0706, Department of Economics, University of Victoria. [Downloadable!]
  4. De Silva, Dakshina & Kosmopoulou, Georgia & Lamarche, Carlos, 2007. "The Effect of Information on the Bidding and Survival of Entrants in Procurement Auctions," MPRA Paper 5236, University Library of Munich, Germany. [Downloadable!]
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  5. Lu, Jingfeng & Perrigne, Isabelle, 2006. "Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data," MPRA Paper 948, University Library of Munich, Germany. [Downloadable!]
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