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Econometric models of asymmetric ascending auctions

  • Hong, Han
  • Shum, Matthew

We develop econometric models of ascending (English) auctions which allow for both bidder asymmetries as well as common and/or private value components in bidders' underlying valuations We show that the equilibrium inverse bid functions in each round of the auction are implicitly defined (pointwise) by a system of nonlinear equations so that conditions for the existence and uniqueness of an increasing-strategy equilibrium are essentially identical to those which ensure a unique and increasing solution to the system of equations We exploit the computational tractability of this characterization in order to develop an econometric model thus extending the literature on structural estimation of auction models Finally an empirical example illustrates how equilibrium learning affects bidding during the course of the auction

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 112 (2003)
Issue (Month): 2 (February)
Pages: 327-358

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Handle: RePEc:eee:econom:v:112:y:2003:i:2:p:327-358
Contact details of provider: Web page: http://www.elsevier.com/locate/jeconom

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  1. Robert Wilson, 1998. "Sequential equilibria of asymmetric ascending auctions: The case of log-normal distributions," Economic Theory, Springer, vol. 12(2), pages 433-440.
  2. 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.
  3. Paarsch, Harry J., 1997. "Deriving an estimate of the optimal reserve price: An application to British Columbian timber sales," Journal of Econometrics, Elsevier, vol. 78(2), pages 333-357, June.
  4. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
  5. Marshall, R.C. & Richard J.F., 1995. "Bider Collusion at Forest Service Timber Sales," Papers 7-95-3, Pennsylvania State - Department of Economics.
  6. Donald, Stephen G. & Paarsch, Harry J., 1996. "Identification, Estimation, and Testing in Parametric Empirical Models of Auctions within the Independent Private Values Paradigm," Econometric Theory, Cambridge University Press, vol. 12(03), pages 517-567, August.
  7. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  8. Klemperer, Paul, 1998. "Auctions with almost common values: The 'Wallet Game' and its applications," European Economic Review, Elsevier, vol. 42(3-5), pages 757-769, May.
  9. Daniel McFadden, 1987. "A Method of Simulated Moments for Estimation of Discrete Response Models Without Numerical Integration," Working papers 464, Massachusetts Institute of Technology (MIT), Department of Economics.
  10. Haile,P.A. & Tamer,E.T., 2000. "Inference with an incomplete model of English auctions," Working papers 18, Wisconsin Madison - Social Systems.
  11. Bulow, Jeremy I. & Huang, Ming & Klemperer, Paul, 1996. "Toeholds and Takeovers," CEPR Discussion Papers 1486, C.E.P.R. Discussion Papers.
  12. 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.
  13. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  14. Bikhchandani,S. & Haile,P.A. & Riley,J.G., 2000. "Symmetric separating equilibria in English auctions," Working papers 17R, Wisconsin Madison - Social Systems.
  15. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 497-527, 09.
  16. Laffont, Jean-Jacques & Vuong, Quang, 1996. "Structural Analysis of Auction Data," American Economic Review, American Economic Association, vol. 86(2), pages 414-20, May.
  17. Donald, S.G. & Paarsch, H.J., 1993. "Identification, Estimation, and Testing in Empirical Models of Auction Within the Independent Private Values Paradigm," UWO Department of Economics Working Papers 9319, University of Western Ontario, Department of Economics.
  18. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  19. 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.
  20. Matthew Shum, 1998. "Structural Estimation Of Auction Models," Working Papers mshum-98-01, University of Toronto, Department of Economics.
  21. 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.
  22. Matthew Shum, 2000. "Nonparametric Tests for Common Values," Econometric Society World Congress 2000 Contributed Papers 1598, Econometric Society.
  23. Laffont & Ossard & Vuong, 1995. "Econometrics of first-price auctions," Working Papers 153731, Institut National de la Recherche Agronomique, France.
  24. Pakes, Ariel & Pollard, David, 1989. "Simulation and the Asymptotics of Optimization Estimators," Econometrica, Econometric Society, vol. 57(5), pages 1027-57, September.
  25. 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.
  26. Moreton, Patrick S & Spiller, Pablo T, 1998. "What's in the Air: Interlicense Synergies in the Federal Communications Commission's Broadband Personal Communication Service Spectrum Auctions," Journal of Law and Economics, University of Chicago Press, vol. 41(2), pages 677-716, October.
  27. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
  28. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June.
  29. repec:cup:etheor:v:12:y:1996:i:3:p:517-67 is not listed on IDEAS
  30. Patrick Bajari & Ali Hortacsu, 2000. "Winner's Curse, Reserve Prices and Endogenous Entry: Empirical Insights from eBay Auctions," Econometric Society World Congress 2000 Contributed Papers 1927, Econometric Society.
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