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The Econometrics of Auctions with Asymmetric Anonymous Bidders

  • Laurent Lamy

    (Crest)

We consider standard auction models when bidders' identities arenot observed by the econometrician. First, we adapt the denition ofidentiability to a framework with anonymous bids and we explore theextent to which anonymity reduces the possibility to identify privatevalue auction models. Second, in the asymmetric independent privatevalue model which is nonparametrically identied, we adapt Guerre,Perrigne and Vuong [10]'s two-stage estimation procedure. Our multistagekernel-based estimator achieves the optimal uniform convergencerate when identities are observed.

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Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2007-24.

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Length: 34
Date of creation: 2007
Date of revision:
Handle: RePEc:crs:wpaper:2007-24
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  1. Lebrun, Bernard, 1997. "First Price Auctions in the Asymmetric N Bidder Case," Cahiers de recherche 9715, Université Laval - Département d'économique.
  2. Mireia Jofre-Bonet & Martin Pesendorfer, 2001. "Estimation of a Dynamic Auction Game," NBER Working Papers 8626, National Bureau of Economic Research, Inc.
  3. Philip A. Haile & Han Hong & Matthew Shum, 2004. "Nonparametric Tests for Common Values in First-Price Sealed-Bid Auctions," Working Papers 2004.149, Fondazione Eni Enrico Mattei.
  4. Jonathan Levin & Susan Athey & Enrique Seira, 2004. "Comparing Open and Sealed Bid Auctions: Theory and Evidence from Timber Auctions," Working Papers 2004.142, Fondazione Eni Enrico Mattei.
  5. 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.
  6. 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, vol. 6(3), pages 461-480.
  7. Cramton, Peter & Schwartz, Jesse A, 2000. "Collusive Bidding: Lessons from the FCC Spectrum Auctions," Journal of Regulatory Economics, Springer, vol. 17(3), pages 229-52, May.
  8. Lamy, Laurent, 2009. "The Shill Bidding Effect versus the Linkage Principle," Journal of Economic Theory, Elsevier, vol. 144(1), pages 390-413, January.
  9. Jingfeng Lu & Isabelle Perrigne, 2008. "Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(7), pages 871-896.
  10. 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.
  11. An, Yonghong & Hu, Yingyao & Shum, Matthew, 2010. "Estimating first-price auctions with an unknown number of bidders: A misclassification approach," Journal of Econometrics, Elsevier, vol. 157(2), pages 328-341, August.
  12. Laurent Lamy, 2007. "The Econometrics of Auctions with Asymmetric Anonymous Bidders," Working Papers 2007-24, Centre de Recherche en Economie et Statistique.
  13. 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.
  14. GINSBURGH, Victor, . "Absentee bidders and the declining price anomaly in wine auctions," CORE Discussion Papers RP 1364, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. 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.
  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.
  17. Hu, Yingyao, 2008. "Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution," Journal of Econometrics, Elsevier, vol. 144(1), pages 27-61, May.
  18. Laurent Lamy, 2013. "“Upping the ante”: how to design efficient auctions with entry?," RAND Journal of Economics, RAND Corporation, vol. 44(2), pages 194-214, 06.
  19. Angel Hernando-Veciana & Michael Tröge, 2005. "The Insider's Curse," Microeconomics 0503012, EconWPA.
  20. repec:hal:wpaper:halshs-00564888 is not listed on IDEAS
  21. Athey,S. & Haile,P.A., 2000. "Identification of standard auction models," Working papers 13, Wisconsin Madison - Social Systems.
  22. Matthew Shum, 2000. "Nonparametric Tests for Common Values," Econometric Society World Congress 2000 Contributed Papers 1598, Econometric Society.
  23. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  24. 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.
  25. Laffont, Jean-Jacques & Vuong, Quang, 1996. "Structural Analysis of Auction Data," American Economic Review, American Economic Association, vol. 86(2), pages 414-20, May.
  26. 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.
  27. 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.
  28. Robert H. Porter & J. Douglas Zona, 1992. "Detection of Bid Rigging in Procurement Auctions," NBER Working Papers 4013, National Bureau of Economic Research, Inc.
  29. 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.
  30. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
  31. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
  32. Sailer, Katharina, 2006. "Searching the eBay Marketplace," Discussion Papers in Economics 1234, University of Munich, Department of Economics.
  33. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 381-411.
  34. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
  35. repec:hal:wpaper:halshs-00586039 is not listed on IDEAS
  36. Lebrun, Bernard, 2006. "Uniqueness of the equilibrium in first-price auctions," Games and Economic Behavior, Elsevier, vol. 55(1), pages 131-151, April.
  37. 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.
  38. 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.
  39. Marshall, Robert C. & Marx, Leslie M., 2007. "Bidder collusion," Journal of Economic Theory, Elsevier, vol. 133(1), pages 374-402, March.
  40. 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.
  41. 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.
  42. 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.
  43. 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.
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