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A functional estimation approach to the first-price auction models

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  • Enache, Andreea
  • Florens, Jean-Pierre
  • Sbai, Erwann

Abstract

This paper introduces new methods of identification and estimation of the first-price sealed bid auction model and compares them with the previous existing ones.

Suggested Citation

  • Enache, Andreea & Florens, Jean-Pierre & Sbai, Erwann, 2023. "A functional estimation approach to the first-price auction models," Journal of Econometrics, Elsevier, vol. 235(2), pages 1564-1588.
    • Handle: RePEc:eee:econom:v:235:y:2023:i:2:p:1564-1588
    DOI: 10.1016/j.jeconom.2022.12.007
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    18. Erwann SbaÏ & Olivier Armantier, 2006. "Estimation and comparison of treasury auction formats when bidders are asymmetric," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 745-779.
    19. Zincenko, Federico, 2018. "Nonparametric estimation of first-price auctions with risk-averse bidders," Journal of Econometrics, Elsevier, vol. 205(2), pages 303-335.
    20. J. P. Florens & J. S. Racine & S. Centorrino, 2018. "Nonparametric instrumental variable derivative estimation," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(2), pages 368-391, April.
    21. Jun Ma & Vadim Marmer & Artyom Shneyerov & Pai Xu, 2021. "Monotonicity-constrained nonparametric estimation and inference for first-price auctions," Econometric Reviews, Taylor & Francis Journals, vol. 40(10), pages 944-982, November.
    22. M. Jones, 1992. "Estimating densities, quantiles, quantile densities and density quantiles," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(4), pages 721-727, December.
    23. Gimenes, Nathalie & Guerre, Emmanuel, 2022. "Quantile regression methods for first-price auctions," Journal of Econometrics, Elsevier, vol. 226(2), pages 224-247.
    24. Gagliardini, Patrick & Scaillet, Olivier, 2012. "Tikhonov regularization for nonparametric instrumental variable estimators," Journal of Econometrics, Elsevier, vol. 167(1), pages 61-75.
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    26. Fève, Frédérique & Florens, Jean-Pierre, 2014. "Iterative algorithm for non parametric estimation of the instrumental variables quantiles," Economics Letters, Elsevier, vol. 123(3), pages 300-304.
    27. Rosa L. Matzkin, 2013. "Nonparametric Identification in Structural Economic Models," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 457-486, May.
    28. Brent R. Hickman & Timothy P. Hubbard, 2015. "Replacing Sample Trimming with Boundary Correction in Nonparametric Estimation of First‐Price Auctions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(5), pages 739-762, August.
    29. Tong Li & Isabelle Perrigne & Quang Vuong, 2002. "Structural Estimation of the Affliated Private Value Auction Model," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 171-193, Summer.
    30. Andreea Enache & Jean-Pierre Florens, 2018. "Nonparametric Estimation for Regulation Models," Annals of Economics and Statistics, GENES, issue 131, pages 45-58.
    31. Tong Li & Bingyu Zhang, 2015. "Affiliation and Entry in First-Price Auctions with Heterogeneous Bidders: An Analysis of Merger Effects," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 188-214, May.
    32. Gentry, Matthew L. & Hubbard, Timothy P. & Nekipelov, Denis & Paarsch, Harry J., 2018. "Structural Econometrics of Auctions: A Review," Foundations and Trends(R) in Econometrics, now publishers, vol. 9(2-4), pages 79-302, April.
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    Cited by:

    1. Enache, Andreea & Florens, Jean-Pierre, 2024. "Quantile analysis of “hazard-rate” game models," Journal of Econometrics, Elsevier, vol. 238(2).

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    More about this item

    Keywords

    First-price auction model; Quantile methods; Regularization methods; Mildly ill-posed inverse problem;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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