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An empirical model of the multi-unit, sequential, clock auction

Author

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  • Harry J. Paarsch

    (Department of Economics, University of Iowa, Iowa City, IA 52242-1000, USA)

  • Stephen G. Donald

    (Department of Economics, University of Texas, Austin, TX 78712, USA)

  • Jacques Robert

    (Department of Information Technologies, HEC Montréal, Montréal, Québec H3T 2A7, Canada)

Abstract

We construct a model of participation and bidding at multi-unit, sequential, clock auctions when bidders have multi-unit demand. We describe conditions sufficient to characterize a symmetric, perfect-Bayesian equilibrium and then demonstrate that this equilibrium induces an efficient allocation. We propose an algorithm, based on the generalized Vickrey auction, to calculate the expected winning bid for each unit sold. This algorithm allows us to construct a simulation-based estimator of the parameters for both the participation process and the distribution of latent valuations. We apply our method to data from 37 multi-lot, sequential, English auctions of export permits for timber held in Russia. Copyright © 2006 John Wiley & Sons, Ltd.

Suggested Citation

  • Harry J. Paarsch & Stephen G. Donald & 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.
  • Handle: RePEc:jae:japmet:v:21:y:2006:i:8:p:1221-1247 DOI: 10.1002/jae.854
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    References listed on IDEAS

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    1. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    2. Andrews, Donald W K, 1989. "Power in Econometric Applications," Econometrica, Econometric Society, vol. 57(5), pages 1059-1090, September.
    3. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
    4. Katzman, Brett, 1999. "A Two Stage Sequential Auction with Multi-Unit Demands," Journal of Economic Theory, Elsevier, vol. 86(1), pages 77-99, May.
    5. Laffont, J.-J. & Loisel, P. & Robert, J., 1998. "Intra-Day Dynamics in Sequential Auctions: Theory and Estimation," Papers 98.488, Toulouse - GREMAQ.
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    Citations

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    Cited by:

    1. Octavian Carare, 2012. "Reserve Prices in Repeated Auctions," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 40(3), pages 225-247, May.
    2. Cantillon, Estelle & Pesendorfer, Martin, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers.
    3. Brendstrup, Bjarne, 2007. "Non-parametric estimation of sequential english auctions," Journal of Econometrics, Elsevier, vol. 141(2), pages 460-481, December.
    4. Ernan Haruvy & Peter Popkowski Leszczyc & Octavian Carare & James Cox & Eric Greenleaf & Wolfgang Jank & Sandy Jap & Young-Hoon Park & Michael Rothkopf, 2008. "Competition between auctions," Marketing Letters, Springer, vol. 19(3), pages 431-448, December.
    5. Timothy N. Cason & Karthik N. Kannan & Ralph Siebert, 2011. "An Experimental Study of Information Revelation Policies in Sequential Auctions," Management Science, INFORMS, vol. 57(4), pages 667-688, April.
    6. Zulehner, Christine, 2009. "Bidding behavior in sequential cattle auctions," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 33-42, January.
    7. Laurent Lamy, 2010. "Identification and estimation of sequential English auctions," PSE Working Papers halshs-00564887, HAL.
    8. Brendstrup, Bjarne & Paarsch, Harry J., 2007. "Semiparametric identification and estimation in multi-object, English auctions," Journal of Econometrics, Elsevier, vol. 141(1), pages 84-108, November.
    9. Lu, Y. & Gupta, A. & Ketter, W. & van Heck, H.W.G.M., 2017. "Information Transparency in B2B Auction Markets: The Role of Winner Identity Disclosure," ERIM Report Series Research in Management ERS-2017-006-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    10. M. Haley, 2010. "Bounding revenue leakages at scale-bid timber auctions: evidence from Wisconsin state forest auctions," Empirical Economics, Springer, vol. 39(2), pages 427-437, October.

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