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Information Revelation and Random Entry in Sequential Ascending Auctions

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  • Said, Maher

Abstract

We examine a model in which multiple buyers with single-unit demand are faced with an infinite sequence of auctions. New buyers arrive on the market probabilistically, and are each endowed with a constant private value. Moreover, objects also arrive on the market at random times, so the number of competitors and the degree of informational asymmetry among them may vary across from one auction to the next. We demonstrate by way of a simple example the inefficiency of the second-price sealed-bid auction in this setting, and therefore assume that each object is sold via ascending auction. We then characterize an efficient and fully revealing equilibrium for the game in which the objects are sold via ascending auctions. We show that each buyer's bids and payoffs depend only upon their rank amongst their competitors and the (revealed) values of those with lower values. Furthermore, strategies are memoryless---bids depend only upon the information revealed in the current auction, and not on any information that may have been revealed in earlier periods. We then demonstrate that the sequential ascending auction serves as an indirect mechanism that is equivalent---in our setting---to the dynamic marginal contribution mechanism introduced by Bergemann and Välimäki (2007) and generalized in Cavallo et al. (2007).

Suggested Citation

  • Said, Maher, 2008. "Information Revelation and Random Entry in Sequential Ascending Auctions," MPRA Paper 7160, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:7160
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    References listed on IDEAS

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    1. Katharina Sailer, 2006. "Searching the eBay Marketplace," CESifo Working Paper Series 1848, CESifo Group Munich.
    2. Roman Inderst, 2008. "Dynamic Bilateral Bargaining under Private Information with a Sequence of Potential Buyers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(1), pages 220-236, January.
    3. Thomas Kittsteiner & Jörg Nikutta & Eyal Winter, 2004. "Declining valuations in sequential auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 89-106, January.
    4. Dirk Bergemann & Juuso Välimäki, 2007. "Dynamic Marginal Contribution Mechanism," Levine's Bibliography 843644000000000300, UCLA Department of Economics.
    5. Alvin E. Roth & Axel Ockenfels, 2002. "Last-Minute Bidding and the Rules for Ending Second-Price Auctions: Evidence from eBay and Amazon Auctions on the Internet," American Economic Review, American Economic Association, vol. 92(4), pages 1093-1103, September.
    6. William Fuchs & Andrzej Skrzypacz, 2010. "Bargaining with Arrival of New Traders," American Economic Review, American Economic Association, vol. 100(3), pages 802-836, June.
    7. Thomas D. Jeitschko, 1998. "Learning in Sequential Auctions," Southern Economic Journal, Southern Economic Association, vol. 65(1), pages 98-112, July.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July.
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    Citations

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    Cited by:

    1. Dirk Bergemann & Maher Said, 2010. "Dynamic Auctions: A Survey," Cowles Foundation Discussion Papers 1757, Cowles Foundation for Research in Economics, Yale University.
    2. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    3. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications, Elsevier.
    4. Said, Maher, 2011. "Sequential auctions with randomly arriving buyers," Games and Economic Behavior, Elsevier, vol. 73(1), pages 236-243, September.

    More about this item

    Keywords

    Sequential auctions; Ascending auctions; Random arrivals; Information revelation; Dynamic Vickrey-Clarke-Groves mechanism; Marginal contribution;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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