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Bidding against an unknown number of competitors sharing affiliated information

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  • Vleugels, Jan

Abstract

In the general symmetric model of Milgrom and Weber, equilibrium bidding is analyzed with a stochastic number of bidders. the equilibrium strategies generalize the known expressions in a coherent way. For the equilibrium bid function of the first price auction, an interpretation involving 'marginal winning probabilities' is proposed. With ageneralized version of the linkage principle, the well-known revenue ranking theorems extend to a stochastic number of bidders. As an application, we show that the seller's generically optimal information policy regarding the number of competitors is concealing the information.

Suggested Citation

  • Vleugels, Jan, 1997. "Bidding against an unknown number of competitors sharing affiliated information," Papers 97-13, Sonderforschungsbreich 504.
  • Handle: RePEc:mnh:spaper:2898
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    File URL: https://madoc.bib.uni-mannheim.de/2898/1/dp97_13.pdf
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    References listed on IDEAS

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    1. McAfee, R Preston & Vincent, Daniel, 1992. "Updating the Reserve Price in Common-Value Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 512-518, May.
    2. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    3. Smith, James L. & Levin, Dan, 1996. "Ranking Auctions with Risk Averse Bidders," Journal of Economic Theory, Elsevier, vol. 68(2), pages 549-561, February.
    4. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    5. Robert B. Wilson, 2021. "Strategic Analysis of Auctions," Econometrica, Econometric Society, vol. 89(2), pages 555-561, March.
    6. Harstad, Ronald M, 1990. "Alternative Common-Value Auction Procedures: Revenue Comparisons with Free Entry," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 421-429, April.
    7. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May.
    8. French, Kenneth R & McCormick, Robert E, 1984. "Sealed Bids, Sunk Costs, and the Process of Competition," The Journal of Business, University of Chicago Press, vol. 57(4), pages 417-441, October.
    9. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    10. Richard Engelbrecht-Wiggans, 1987. "On Optimal Reservation Prices in Auctions," Management Science, INFORMS, vol. 33(6), pages 763-770, June.
    11. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 499-516, December.
    12. Riley, John G, 1989. "Expected Revenue from Open and Sealed Bid Auctions," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 41-50, Summer.
    13. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    14. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    15. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    16. Piccione, Michele & Tan, Guofu, 1996. "A Simple Model of Expert and Non-Expert Bidding in First-Price Auctions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 501-515, August.
    17. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    18. Douglas Dyer & John H. Kagel & Dan Levin, 1989. "Resolving Uncertainty about the Number of Bidders in Independent Private-Value Auctions: An Experimental Analysis," RAND Journal of Economics, The RAND Corporation, vol. 20(2), pages 268-279, Summer.
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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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