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The Shill Bidding Effect versus the Linkage Principle

Author

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  • Laurent Lamy

    (PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

The analysis of second price auctions with externalities is utterly modified if the seller is unable to commit not to participate in the mechanism. For the General Symmetric Model introduced by Milgrom and Weber [P. Milgrom, R. Weber, A theory of auctions and competitive bidding, Econometrica 50 (1982) 1089-1122] we characterize the full set of separating equilibria that are symmetric among buyers and with a strategic seller being able to bid in the same way as any buyer through a so-called shill bidding activity. The revenue ranking between first and second price auctions is different from the one arising in Milgrom and Weber: the benefits from the highlighted 'Linkage Principle' are counterbalanced by the 'Shill Bidding Effect.'

Suggested Citation

  • Laurent Lamy, 2009. "The Shill Bidding Effect versus the Linkage Principle," PSE-Ecole d'économie de Paris (Postprint) halshs-00754404, HAL.
  • Handle: RePEc:hal:pseptp:halshs-00754404
    DOI: 10.1016/j.jet.2008.06.001
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    Cited by:

    1. Laurent Lamy, 2013. "“Upping the ante”: how to design efficient auctions with entry?," RAND Journal of Economics, RAND Corporation, vol. 44(2), pages 194-214, June.
    2. Bose, Subir & Daripa, Arup, 2017. "Shills and snipes," Games and Economic Behavior, Elsevier, vol. 104(C), pages 507-516.
    3. Lamy, Laurent, 2012. "The econometrics of auctions with asymmetric anonymous bidders," Journal of Econometrics, Elsevier, vol. 167(1), pages 113-132.
    4. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    5. Mohammad Akbarpour & Shengwu Li, 2020. "Credible Auctions: A Trilemma," Econometrica, Econometric Society, vol. 88(2), pages 425-467, March.
    6. Philippe Jehiel & Laurent Lamy, 2011. "Absolute auctions and secret reserve prices: Why are they used?," Levine's Working Paper Archive 786969000000000316, David K. Levine.
    7. Philippe Jehiel & Laurent Lamy, 2015. "On absolute auctions and secret reserve prices," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 241-270, June.
    8. McCannon, Bryan C. & Minuci, Eduardo, 2020. "Shill bidding and trust," Journal of Behavioral and Experimental Finance, Elsevier, vol. 26(C).
    9. Andrew Komo & Scott Duke Kominers & Tim Roughgarden, 2024. "Shill-Proof Auctions," Papers 2404.00475, arXiv.org, revised Dec 2025.
    10. Onur A. Koska & Ilke Onur & Frank Stähler, 2017. "The Economics of Vendor Bids," ERC Working Papers 1711, ERC - Economic Research Center, Middle East Technical University, revised Oct 2017.
    11. Nikitkov, Alexey & Bay, Darlene, 2015. "Shill bidding: Empirical evidence of its effectiveness and likelihood of detection in online auction systems," International Journal of Accounting Information Systems, Elsevier, vol. 16(C), pages 42-54.
    12. Ingebretsen Carlson, Jim & Wu, Tingting, 2022. "Shill bidding and information in eBay auctions: A Laboratory study," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 341-360.
    13. Yangwei Song, 2025. "Robust auctions with affiliated private values," Review of Economic Design, Springer;Society for Economic Design, vol. 29(2), pages 245-279, June.

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