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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

Author

Listed:
  • Han Hong
  • Harry J. Paarsch
  • Pai Xu

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

  • Han Hong & Harry J. Paarsch & Pai Xu, 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," Carlo Alberto Notebooks 186, Collegio Carlo Alberto.
  • Handle: RePEc:cca:wpaper:186
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    References listed on IDEAS

    as
    1. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    2. Matthew O. Jackson & Ilan Kremer, 2006. "The Relevance of a Choice of Auction Format in a Competitive Environment," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 961-981.
    3. 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.
    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. 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.
    6. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    7. 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.
    8. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    9. 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.
    10. Chernozhukov, Victor & Hong, Han, 2003. "An MCMC approach to classical estimation," Journal of Econometrics, Elsevier, vol. 115(2), pages 293-346, August.
    11. Milgrom, Paul R, 1979. "A Convergence Theorem for Competitive Bidding with Differential Information," Econometrica, Econometric Society, vol. 47(3), pages 679-688, May.
    12. 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.
    13. Ilan Kremer, 2002. "Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 70(4), pages 1675-1682, July.
    14. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 511-518.
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    More about this item

    Keywords

    common value; information aggregation; multi-unit auctions; taxis;

    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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