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On the Asymptotic Distribution of the Transaction Price in a Clock Model of a Multi-Unit, Oral, Ascending-Price Auction within the Common-Value Paradigm

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  • Hong, Han
  • Paarsch, Harry J.
  • Xu, Pai

Abstract

Using a clock model of a multi-unit, oral, ascending-price auction, within the commonvalue paradigm, we analyse the asymptotic behaviour of the transaction price as the number of bidders gets large. We find that even though the transaction price is determined by a (potentially small) fraction of losing drop-out bids, that price converges in probability to the ex ante unknown, true value. Subsequently, we derive the asymptotic distribution of the transaction price. Finally, we apply our methods to data from an auction of taxi license plates held in Shenzhen, China.

Suggested Citation

  • Hong, Han & Paarsch, Harry J. & Xu, Pai, 2010. "On the Asymptotic Distribution of the Transaction Price in a Clock Model of a Multi-Unit, Oral, Ascending-Price Auction within the Common-Value Paradigm," CEI Working Paper Series 2010-8, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:hitcei:2010-8
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    References listed on IDEAS

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    1. Chernozhukov, Victor & Hong, Han, 2003. "An MCMC approach to classical estimation," Journal of Econometrics, Elsevier, vol. 115(2), pages 293-346, August.
    2. Ilan Kremer, 2002. "Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 70(4), pages 1675-1682, July.
    3. Hong, Han & Shum, Matthew, 2004. "Rates of information aggregation in common value auctions," Journal of Economic Theory, Elsevier, vol. 116(1), pages 1-40, May.
    4. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    5. Mezzetti, Claudio & Tsetlin, Ilia, 2008. "On the lowest-winning-bid and the highest-losing-bid auctions," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 1040-1048, September.
    6. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    7. Jackson, Matthew O. & Kremer, Ilan, 2004. "The relationship between the allocation of goods and a seller's revenue," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 371-392, June.
    8. Milgrom, Paul R, 1979. "A Convergence Theorem for Competitive Bidding with Differential Information," Econometrica, Econometric Society, vol. 47(3), pages 679-688, May.
    9. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
    10. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, October.
    11. Matthew O. Jackson & Ilan Kremer, 2006. "The Relevance of a Choice of Auction Format in a Competitive Environment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 961-981.
    12. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    13. Bikhchandani, Sushil & Haile, Philip A. & Riley, John G., 2002. "Symmetric Separating Equilibria in English Auctions," Games and Economic Behavior, Elsevier, vol. 38(1), pages 19-27, January.
    14. Jeroen M. Swinkels & Wolfgang Pesendorfer, 2000. "Efficiency and Information Aggregation in Auctions," American Economic Review, American Economic Association, vol. 90(3), pages 499-525, June.
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    Cited by:

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    More about this item

    Keywords

    common value; information aggregation; multi-unit auctions; taxis;
    All these keywords.

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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