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The econometrics of auctions with asymmetric anonymous bidders

  • Laurent Lamy

    (EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris, PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris)

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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Paper provided by HAL in its series PSE Working Papers with number halshs-00586039.

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Date of creation: Nov 2008
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Handle: RePEc:hal:psewpa:halshs-00586039
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  1. Lamy, Laurent, 2009. "The Shill Bidding Effect versus the Linkage Principle," Journal of Economic Theory, Elsevier, vol. 144(1), pages 390-413, January.
  2. Robert H. Porter & J. Douglas Zona, 1999. "Ohio School Milk Markets: An Analysis of Bidding," RAND Journal of Economics, The RAND Corporation, vol. 30(2), pages 263-288, Summer.
  3. Harry J. Paarsch & Han Hong, 2006. "An Introduction to the Structural Econometrics of Auction Data," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262162350, June.
  4. Marshall, R.C. & Richard J.F., 1995. "Bider Collusion at Forest Service Timber Sales," Papers 7-95-3, Pennsylvania State - Department of Economics.
  5. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
  6. M. Landsberger & J. Rubinstein & E. Wolfstetter & S. Zamir, 1996. "First-Price Auctions when the Ranking of Valuations is Common Knowledge," SFB 373 Discussion Papers 1996,36, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  7. Véronique Flambard & Isabelle Perrigne, 2006. "Asymmetry in Procurement Auctions: Evidence from Snow Removal Contracts," Economic Journal, Royal Economic Society, vol. 116(514), pages 1014-1036, October.
  8. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  9. Sailer, Katharina, 2006. "Searching the eBay Marketplace," Discussion Papers in Economics 1234, University of Munich, Department of Economics.
  10. Matthew Shum, 2000. "Nonparametric Tests for Common Values," Econometric Society World Congress 2000 Contributed Papers 1598, Econometric Society.
  11. Sandra Campo & Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2003. "Semiparametric Estimation of First-price Auctions with Risk Averse Bidders," Working Papers 2003-09, Centre de Recherche en Economie et Statistique.
  12. Pesendorfer, Martin, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 381-411, July.
  13. Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460 Elsevier.
  14. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
  15. Philip A. Haile & Han Hong & Matthew Shum, 2003. "Nonparametric Tests for Common Values at First-Price Sealed-Bid Auctions," NBER Working Papers 10105, National Bureau of Economic Research, Inc.
  16. 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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