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Identification and estimation of sequential English auctions

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  • Laurent Lamy

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

Brendstrup (2007) and Brendstrup and Paarsch (2006) claim that sequential English auction models with multi-unit demand can be identified from the distribution of the last stage winning price and without any assumption on bidding behavior in the earliest stages. We show that their identification strategy is not correct and that non-identification occurs even if equilibrium behavior is assumed in the earliest stages. For two-stage sequential auctions, an estimation procedure that has an equilibrium foundation and that uses the winning price at both stages is developed and supported by Monte Carlo experiments. Identification under general affiliated multi-unit demand schemes is also investigated.

Suggested Citation

  • Laurent Lamy, 2010. "Identification and estimation of sequential English auctions," PSE Working Papers halshs-00564887, HAL.
    • Handle: RePEc:hal:psewpa:halshs-00564887
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00564887
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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. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, June.
    3. Brendstrup, Bjarne, 2006. "A simple nonparametric test for synergies in multi-object sequential English auctions," Economics Letters, Elsevier, vol. 93(3), pages 443-449, December.
    4. Stephen G. Donald & Harry J. Paarsch & Jacques Robert, 2006. "An empirical model of the multi‐unit, sequential, clock auction," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1221-1247, December.
    5. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March.
    6. Brendstrup, Bjarne, 2007. "Non-parametric estimation of sequential english auctions," Journal of Econometrics, Elsevier, vol. 141(2), pages 460-481, December.
    7. 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.
    8. Bernard Lebrun, 2010. "First‐price auctions with resale and with outcomes robust to bid disclosure," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 165-178, March.
    9. Brendstrup, Bjarne & Paarsch, Harry J., 2006. "Identification and estimation in sequential, asymmetric, English auctions," Journal of Econometrics, Elsevier, vol. 134(1), pages 69-94, September.
    10. Philippe Jehiel & Benny Moldovanu, 1996. "Strategic Nonparticipation," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 84-98, Spring.
    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.
    12. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
    13. Katzman, Brett, 1999. "A Two Stage Sequential Auction with Multi-Unit Demands," Journal of Economic Theory, Elsevier, vol. 86(1), pages 77-99, May.
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    Cited by:

    1. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    2. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    3. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    4. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2023. "Identification of interdependent values in sequential first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 91(C).

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    Keywords

    sequential auctions; nonparametric identification; nonparametric estimation;
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