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Nonparametric Identification and Estimation of a Common Value Auction Model

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  • Philippe Février

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Abstract

Structural econometric studies on auctions have mainly focused on the independentprivate value paradigm. In this paper, we are interested in the "opposite" caseknown as the pure common value model. More precisely, we restrict our attentionto a common value model defined by two functions : the density of the true valueof the auctioned good and a unique function that appears in the definition of theconditional densities of the signals. We establish that this common value model isnonparametrically identified without any further restrictions. We then propose aone-step nonparametric estimation method and prove the uniform consistency of ourestimators. We apply our method on simulated data and show that the technique wepropose is adequate to recover the distribution functions of interest.

Suggested Citation

  • Philippe Février, 2007. "Nonparametric Identification and Estimation of a Common Value Auction Model," Working Papers 2007-22, Center for Research in Economics and Statistics.
  • Handle: RePEc:crs:wpaper:2007-22
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    References listed on IDEAS

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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. 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.
    3. Elodie Guerre & I. Perrigne & Q.H. Vuong, 2000. "Optimal nonparametric estimation of first-price auctions [[Estimation nonparamétrique optimale des enchères au premier prix]]," Post-Print hal-02697497, HAL.
    4. Bernard Elyakime & Jean-Jacques Laffont & Patrice Loisel & Quang Vuong, 1994. "First-Price Sealed-Bid Auctions with Secret Reservation Prices," Annals of Economics and Statistics, GENES, issue 34, pages 71-114.
    5. Porter, Robert H, 1995. "The Role of Information in U.S. Offshore Oil and Gas Lease Auctions," Econometrica, Econometric Society, vol. 63(1), pages 1-27, January.
    6. 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.
    7. Vuong, Q. & Laffont, J.J. & Elyakime, B. & Loisel, P., 1995. "Auctioning and Bargaining: An Econometric Study of Timber Auctions with Secret Reservation Prices," Papers 9502, Southern California - Department of Economics.
    8. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    9. 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(3), pages 517-567, August.
    10. Laffont, Jean-Jacques & Vuong, Quang, 1996. "Structural Analysis of Auction Data," American Economic Review, American Economic Association, vol. 86(2), pages 414-420, May.
    11. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
    12. 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 209-220, April.
    13. Michael H. Rothkopf, 1969. "A Model of Rational Competitive Bidding," Management Science, INFORMS, vol. 15(7), pages 362-373, March.
    14. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
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