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First-price auctions with resale: the case of many bidders

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  • Gábor Virág

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Abstract

We study first-price auctions with resale when there are many bidders and derive existence and characterization results under the assumption that the winner of the initial auction runs a second-price auction with an optimal reserve price. The fact that symmetrization fails when there are more than two bidders has been observed before, but we also provide the direction: weaker bidders are less likely to win than stronger ones. For a special class of distributions and three bidders, we prove that the bid distributions are more symmetric with resale than without. Numerical simulations suggest that the more bidders there are, the more similar the allocation is to the case without resale, and thus, the more asymmetric the bid distributions are between strong and weak bidders. We also show in an example that the revenue advantage of first-price auctions over second-price auctions is positive, but decreasing in the number of bidders. Copyright Springer-Verlag 2013

Suggested Citation

  • Gábor Virág, 2013. "First-price auctions with resale: the case of many bidders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 129-163, January.
  • Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:129-163
    DOI: 10.1007/s00199-011-0666-y
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    References listed on IDEAS

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    1. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    2. Jehiel, Philippe, 2011. "Manipulative auction design," Theoretical Economics, Econometric Society, vol. 6(2), May.
    3. Hafalir, Isa & Krishna, Vijay, 2009. "Revenue and efficiency effects of resale in first-price auctions," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 589-602, September.
    4. Swinkels, Jeroen M, 2001. "Efficiency of Large Private Value Auctions," Econometrica, Econometric Society, vol. 69(1), pages 37-68, January.
    5. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March.
    6. Rod Garratt & Thomas Tröger, 2006. "Speculation in Standard Auctions with Resale," Econometrica, Econometric Society, vol. 74(3), pages 753-769, May.
    7. Gupta, Madhurima & Lebrun, Bernard, 1999. "First price auctions with resale," Economics Letters, Elsevier, vol. 64(2), pages 181-185, August.
    8. Charles Zhoucheng Zheng, 2002. "Optimal Auction with Resale," Econometrica, Econometric Society, vol. 70(6), pages 2197-2224, November.
    9. Harrison Cheng & Guofu Tan, 2010. "Asymmetric common-value auctions with applications to private-value auctions with resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 253-290, October.
    10. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    11. Mylovanov, Tymofiy & Tröger, Thomas, 2006. "A Characterization of the Conditions for Optimal Auction with Resale," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 128, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
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    Cited by:

    1. Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2014. "Auctions with Resale under State Uncertainty," Working Papers 2014/02, Bogazici University, Department of Economics.
    2. repec:spr:etbull:v:1:y:2013:i:1:d:10.1007_s40505-013-0008-2 is not listed on IDEAS
    3. Ding, Wei & Fan, Cuihong & Wolfstetter, Elmar G., 2013. "Horizontal mergers with synergies: Cash vs. profit-share auctions," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 382-391.
    4. Zhang, Jun & Wang, Ruqu, 2013. "Optimal mechanism design with resale via bargaining," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2096-2123.
    5. Virág, Gábor, 2016. "Auctions with resale: Reserve prices and revenues," Games and Economic Behavior, Elsevier, vol. 99(C), pages 239-249.

    More about this item

    Keywords

    Auctions; Resale; Incomplete information; Dynamic market interaction; D44; D82; D83;

    JEL classification:

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

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