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Second-price common-value auctions under multidimensional uncertainty

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  • de Frutos, Maria-Angeles
  • Pechlivanos, Lambros

Abstract

The literature has demonstrated that second-price common-value auctions are sensitive to the presence of asymmetries among bidders. Bikhchandani (1988) has shown that if it is common knowledge that a bidder has a disadvantage compared to her opponent, this bidder (almost surely) never wins the auction. This paper is the first to show that this result does not carry through when one allows for two-sided uncertainty. Whe show that even if the probabilities that one of the bidders is advantaged while the other one is disadvantaged are arbitrarily large, in every equilibrium, the disadvantaged bidder needs to win the auction with strictly positive probability. We then solve for the equilibria in two cases (one with two types and another with a continuum of types) and we characterize their expected revenues properties. We find that although they underperform relative to "comparable" symmetric auctions, they perform much better than what it is "assumed" in the literature.
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  • de Frutos, Maria-Angeles & Pechlivanos, Lambros, 2006. "Second-price common-value auctions under multidimensional uncertainty," Games and Economic Behavior, Elsevier, vol. 55(1), pages 43-71, April.
  • Handle: RePEc:eee:gamebe:v:55:y:2006:i:1:p:43-71
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    References listed on IDEAS

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    1. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 445-469, August.
    2. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 427-454, June.
    3. Paul Klemperer, 2002. "What Really Matters in Auction Design," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 169-189, Winter.
    4. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    5. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    6. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
    7. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 1-21.
    8. Bulow, Jeremy I. & Klemperer, Paul, 1997. "The Winner's Curse and the Failure of the Law of Demand," CEPR Discussion Papers 1754, C.E.P.R. Discussion Papers.
    9. Bikhchandani, Sushil, 1988. "Reputation in repeated second-price auctions," Journal of Economic Theory, Elsevier, vol. 46(1), pages 97-119, October.
    10. Klemperer, Paul, 1998. "Auctions with almost common values: The 'Wallet Game' and its applications," European Economic Review, Elsevier, vol. 42(3-5), pages 757-769, May.
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    Cited by:

    1. Marco Pagnozzi, 2008. "Are Disadvanteged Bidders Doomed In Ascending Auctions?," Journal of Industrial Economics, Wiley Blackwell, vol. 56(3), pages 683-683, September.
    2. Schnitzlein, Charles R. & Shao, Minjie, 2013. "Capacity constraints and the winner's curse in multi-unit common value auctions," The Quarterly Review of Economics and Finance, Elsevier, vol. 53(2), pages 188-201.
    3. Hernando-Veciana, Ángel & Tröge, Michael, 2011. "The insider's curse," Games and Economic Behavior, Elsevier, vol. 71(2), pages 339-350, March.
    4. de Frutos, M.A. & Jarque, X., 2007. "Auctions with asymmetric common-values: The first-price format," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 795-817, September.
    5. Fong, Yuk-fai & Garrett, Daniel F., 2010. "Bidding in a possibly common-value auction," Games and Economic Behavior, Elsevier, vol. 70(2), pages 494-501, November.
    6. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85.
    7. Abbink, Klaus & Irlenbusch, Bernd & Pezanis-Christou, Paul & Rockenbach, Bettina & Sadrieh, Abdolkarim & Selten, Reinhard, 2005. "An experimental test of design alternatives for the British 3G/UMTS auction," European Economic Review, Elsevier, vol. 49(2), pages 505-530, February.
    8. Abbink, Klaus & Irlenbusch, Bernd & Pezanis-Christou, Paul & Rockenbach, Bettina & Sadrieh, Abdolkarim & Selten, Reinhard, 2005. "An experimental test of design alternatives for the British 3G/UMTS auction," European Economic Review, Elsevier, vol. 49(2), pages 505-530, February.

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