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Nonparametric identification and estimation of a class of common value auction models

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Author Info
Philippe Février (ENSAE, Malakoff, France)
Abstract

Structural econometric studies on auctions have mainly focused on the independent private value paradigm. In this paper, we are interested in the 'opposite' case known as the pure common value model. More precisely, we restrict our attention to a class of common value models defined by three functions: the density of the true value of the auctioned good, a unique function that appears in the definition of the conditional densities of the signals, and the function that defines the support of the conditional densities. We establish that these common value models are nonparametrically identified without any further restrictions. We then propose a one-step nonparametric estimation method and prove the uniform consistency of our estimators. We apply our method on simulated data and show that the technique we propose is adequate to recover the distribution functions of interest. Copyright © 2008 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/jae.1041
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File URL: http://qed.econ.queensu.ca:80/jae/2008-v23.7/
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Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 23 (2008)
Issue (Month): 7 ()
Pages: 949-964
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Handle: RePEc:jae:japmet:v:23:y:2008:i:7:p:949-964

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  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. 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)
  4. Philip A. Haile & Han Hong & Matthew Shum, 2003. "Nonparametric Tests for Common Values in First-Price Sealed-Bid Auctions," Cowles Foundation Discussion Papers 1445, Cowles Foundation, Yale University. [Downloadable!]
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  5. Elyakime, Bernard, et al, 1997. "Auctioning and Bargaining: An Econometric Study of Timber Auctions with Secret Reservation Prices," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(2), pages 209-20, April.
  6. 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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  7. 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)
  8. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November. [Downloadable!] (restricted)
  9. Bernard Elyakime & Jean-Jacques Laffont & Patrice Loisel & Quang Vuong, 1994. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," Annales d'Economie et de Statistique, ADRES, issue 34, pages 05, Avril-Jui. [Downloadable!]
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  10. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  11. 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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