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Bidding Dynamics in Auctions

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  • Hugo Hopenhayn
  • Maryam Saeedi

Abstract

This paper studies bidding dynamics where values and bidding opportunities follow an unrestricted joint Markov process, independent across agents. Bids cannot be retracted, as is frequently the case in auctions. Our main methodological contribution is that we construct a mapping from this general stochastic process into a distribution of values that is independent of the type of auction considered. The equilibria of a static auction with this distribution of values is used to characterize the equilibria of the dynamic auction, making this general class very tractable. As a result of the option of future rebidding, early bids are shaded and under mild conditions increase toward the end of the auction. Our results are consistent with repeated bidding and skewness of the time distribution of winning bids, two puzzling observations in dynamic auctions. As an application, we estimate the model by matching moments from eBay auctions.

Suggested Citation

  • Hugo Hopenhayn & Maryam Saeedi, 2016. "Bidding Dynamics in Auctions," NBER Working Papers 22716, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:22716
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    References listed on IDEAS

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    1. 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.
    2. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    3. Chernozhukov, Victor & Hong, Han, 2003. "An MCMC approach to classical estimation," Journal of Econometrics, Elsevier, vol. 115(2), pages 293-346, August.
    4. Tilman Börgers & Christian Dustmann, 2005. "Strange Bids: Bidding Behaviour in the United Kingdom's Third Generation Spectrum Auction," Economic Journal, Royal Economic Society, vol. 115(505), pages 551-578, July.
    5. Milton Harris & Bengt Holmstrom, 1982. "A Theory of Wage Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 315-333.
    6. Christopher Avery, 1998. "Strategic Jump Bidding in English Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 185-210.
    7. Attila Ambrus & James Burns & Yuhta Ishii, 2012. "Gradual Bidding in eBay-Like Auctions," Working Papers 12-12, Duke University, Department of Economics.
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    Citations

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    Cited by:

    1. Victor Aguirregabiria & Allan Collard-Wexler & Stephen P. Ryan, 2021. "Dynamic Games in Empirical Industrial Organization," NBER Working Papers 29291, National Bureau of Economic Research, Inc.
    2. Freeman, David J. & Kimbrough, Erik O. & Reiss, J. Philipp, 2020. "Opportunity cost, inattention and the bidder’s curse," European Economic Review, Elsevier, vol. 129(C).
    3. Sofia Moroni, 2019. "Existence of trembling hand perfect and sequential equilibrium in games with stochastic timing of moves," Working Paper 6757, Department of Economics, University of Pittsburgh.
    4. Yuichiro Kamada & Michihiro Kandori, 2020. "Revision Games," Econometrica, Econometric Society, vol. 88(4), pages 1599-1630, July.
    5. Sofia Moroni, 2020. "Existence of Trembling hand perfect and sequential equilibrium in Stochastic Games," Working Paper 6837, Department of Economics, University of Pittsburgh.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce

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