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The econometrics of auctions with asymmetric anonymous bidders

  • Laurent Lamy

    (PSE - Paris School of Economics, PSE - Paris-Jourdan Sciences Economiques - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - ENS Paris - École normale supérieure - Paris - École des Ponts ParisTech (ENPC))

We consider standard auction models when bidders' identities are not observed by the econometrician. First, we adapt the definition of identifiability to a framework with anonymous bids and we explore the extent to which anonymity reduces the possibility to identify private value auction models. Second, in the asymmetric independent private value model which is nonparametrically identified, we generalize Guerre, Perrigne and Vuong's estimation procedure [Optimal Nonparametric Estimation of First-Price Auctions, Econometrica 68 (2000) 525-574] and study the asymptotic properties of our multi-step kernel-based estimator. Third a test for symmetry is proposed. Monte Carlo simulations illustrate the practical relevance of our estimation and testing procedures for small data sets.

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Date of creation: Nov 2008
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Handle: RePEc:hal:psewpa:halshs-00586039
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  1. John Asker, 2010. "A Study of the Internal Organization of a Bidding Cartel," American Economic Review, American Economic Association, vol. 100(3), pages 724-62, June.
  2. Laurent Lamy, 2012. "The Econometrics of Auctions with asymmetric anonymous bidders," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00754606, HAL.
  3. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2009. "Nonparametric Identification of Risk Aversion in First-Price Auctions Under Exclusion Restrictions," Econometrica, Econometric Society, vol. 77(4), pages 1193-1227, 07.
  4. Jacob Rubinstein & Elmar Wolfstetter & Michael Landsberger & Shmuel Zamir, 2001. "First-price auctions when the ranking of valuations is common knowledge," Review of Economic Design, Springer;Society for Economic Design, vol. 6(3), pages 461-480.
  5. Victor Ginsburgh, 1998. "Absentee bidders and the declining price anomaly in wine auctions," ULB Institutional Repository 2013/1701, ULB -- Universite Libre de Bruxelles.
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  7. 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.
  8. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
  9. Lebrun, Bernard, 1997. "First Price Auctions in the Asymmetric N Bidder Case," Cahiers de recherche 9715, Université Laval - Département d'économique.
  10. Tong Li & Isabelle Perrigne, 2003. "Timber Sale Auctions with Random Reserve Prices," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 189-200, February.
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  15. Susan Athey, 2005. "Comparing Open and Sealed Bid Auctions: Theory and Evidence from Timber Auctions," Theory workshop papers 658612000000000098, UCLA Department of Economics.
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  18. Peter Cramton & Jesse Schwartz, 2000. "Collusive Bidding: Lessons from the FCC Spectrum Auctions," Papers of Peter Cramton 00jre, University of Maryland, Department of Economics - Peter Cramton, revised 09 Mar 1999.
  19. 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.
  20. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
  21. Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
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  38. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
  39. Li, Tong & Vuong, Quang, 1998. "Nonparametric Estimation of the Measurement Error Model Using Multiple Indicators," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 139-165, May.
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