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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

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 52 (2013)
Issue (Month): 1 (January)
Pages: 129-163

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Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:129-163

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Related research

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

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References

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  1. Charles Zhoucheng Zheng, 2002. "Optimal Auction with Resale," Econometrica, Econometric Society, vol. 70(6), pages 2197-2224, November.
  2. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  3. Harrison Cheng & Guofu Tan, 2010. "Asymmetric common-value auctions with applications to private-value auctions with resale," Economic Theory, Springer, vol. 45(1), pages 253-290, October.
  4. Jehiel, Philippe, 2011. "Manipulative auction design," Theoretical Economics, Econometric Society, vol. 6(2), May.
  5. Lebrun, Bernard, 1997. "First Price Auctions in the Asymmetric N Bidder Case," Cahiers de recherche 9715, Université Laval - Département d'économique.
  6. Gupta, Madhurima & Lebrun, Bernard, 1999. "First price auctions with resale," Economics Letters, Elsevier, vol. 64(2), pages 181-185, August.
  7. Rod Garratt & Thomas Troger, 2004. "Speculation in Standard Auctions with Resale," Microeconomics 0405005, EconWPA.
  8. 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.
  9. 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.
  10. repec:wop:humbsf:2000-72 is not listed on IDEAS
  11. Isa Hafalir & Vijay Krishna, 2008. "Asymmetric Auctions with Resale," American Economic Review, American Economic Association, vol. 98(1), pages 87-112, March.
  12. Rod Garrat & Thomas Tröger, 2005. "Speculation in Standard Auctions with Resale," Bonn Econ Discussion Papers bgse10_2005, University of Bonn, Germany.
  13. Swinkels, Jeroen M, 2001. "Efficiency of Large Private Value Auctions," Econometrica, Econometric Society, vol. 69(1), pages 37-68, January.
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Cited by:
  1. Zhang, Jun & Wang, Ruqu, 2013. "Optimal mechanism design with resale via bargaining," Journal of Economic Theory, Elsevier, vol. 148(5), pages 2096-2123.

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