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

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  • Stephen G. Donald
  • Harry J. Paarsch
  • Jacques Robert

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.

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  • 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.
    • Handle: RePEc:wly:japmet:v:21:y:2006:i:8:p:1221-1247
    DOI: 10.1002/jae.854
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    Cited by:

    1. Salant, David J. & Cabral, Luís, 2019. "Sequential auctions and auction revenue," Economics Letters, Elsevier, vol. 176(C), pages 1-4.
    2. Octavian Carare, 2012. "Reserve Prices in Repeated Auctions," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 40(3), pages 225-247, May.
    3. Brendstrup, Bjarne, 2007. "Non-parametric estimation of sequential english auctions," Journal of Econometrics, Elsevier, vol. 141(2), pages 460-481, December.
    4. Yixin Lu & Alok Gupta & Wolfgang Ketter & Eric van Heck, 2019. "Information Transparency in Business-to-Business Auction Markets: The Role of Winner Identity Disclosure," Management Science, INFORMS, vol. 65(9), pages 4261-4279, September.
    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. Laurent Lamy, 2010. "Identification and estimation of sequential English auctions," Working Papers halshs-00564887, HAL.
    7. 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.
    8. Zulehner, Christine, 2009. "Bidding behavior in sequential cattle auctions," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 33-42, January.
    9. Anderson, Edward & Holmberg, Pär, 2023. "Multi-Unit Auctions with Uncertain Supply and Single-Unit Demand," Working Paper Series 1460, Research Institute of Industrial Economics.
    10. 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.
    11. 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.
    12. Pesendorfer, Martin & Cantillon, Estelle, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers.
    13. Edward Anderson & Pär Holmberg, 2023. "Multi-unit auctions with uncertain supply and single-unit demand," Working Papers EPRG2310, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    14. Didier Raboisson & Ahmed Ferchiou & Tifenn Corre & Sylvain Perez & Pierre Sans & Guillaume Lhermie & Marie Dervillé, 2021. "Could Contracts between Pharmaceutical Firms and French Veterinarians Bias Prescription Behaviour: A Principal-Agency Theory Approach in the Context of Oligopolies," Post-Print hal-03148045, HAL.
    15. Sung-Jin Cho & Harry J. Paarsch & John Rust, 2014. "Is the ‘Linkage Principle’ Valid? Evidence from the Field," Journal of Industrial Economics, Wiley Blackwell, vol. 62(2), pages 346-375, June.
    16. Bruno Bosco, 2023. "Trade, equilibrium prices and rents in European auctions for emission allowances," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 25(1), pages 87-113, January.
    17. Dutra, Renato Cabral Dias & Carpio, Lucio Guido Tapia, 2021. "Biodiesel auctions in Brazil: Symmetry of bids and informational paradigm," Renewable and Sustainable Energy Reviews, Elsevier, vol. 137(C).
    18. 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.
    19. Yixin Lu & Alok Gupta & Wolfgang Ketter & Eric van Heck, 2019. "Dynamic Decision Making in Sequential Business-to-Business Auctions: A Structural Econometric Approach," Management Science, INFORMS, vol. 65(8), pages 3853-3876, August.
    20. Christine Zulehner, 2007. "Bidding behavior in sequential cattle auctions," Vienna Economics Papers vie0705, University of Vienna, Department of Economics.

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