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

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  • Gábor Virág

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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  • 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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    Cited by:

    1. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Celik, Gorkem & Yilankaya, Okan, 2017. "Resale in second-price auctions with costly participation," International Journal of Industrial Organization, Elsevier, vol. 54(C), pages 148-174.
    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. Sanyyam Khurana, 2024. "Unraveling of value-rankings in auctions with resale," Review of Economic Design, Springer;Society for Economic Design, vol. 28(2), pages 455-483, June.
    5. Sanyyam Khurana, 2024. "Auctions with resale at a later date," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 843-875, November.
    6. 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.
    7. Virág, Gábor, 2016. "Auctions with resale: Reserve prices and revenues," Games and Economic Behavior, Elsevier, vol. 99(C), pages 239-249.
    8. Xiaogang Che & Tilman Klumpp, 2023. "Auctions versus sequential mechanisms when resale is allowed," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1207-1245, May.
    9. Alex Gershkov & Flavio Toxvaerd, 2013. "On seller estimates and buyer returns," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 47-55, May.
    10. Jun, Byoung Heon & Wolfstetter, Elmar G., 2015. "Auctions with imperfect commitment when the reserve may signal the cost to re-auction," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 11-21.
    11. Isa Hafalir & Musab Kurnaz, 2019. "Discriminatory auctions with resale," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 173-189, December.
    12. Mehmet Oguz Karahan & Tolga Umut Kuzubas, 2014. "Auctions with Resale under State Uncertainty," Working Papers 2014/02, Bogazici University, Department of Economics.
    13. Byoung Heon Jun & Elmar G. Wolfstetter, 2013. "Auctions with imperfect commitment when the reserve may serve as a signal," Discussion Paper Series 1304, Institute of Economic Research, Korea University.
    14. 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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    More about this item

    Keywords

    Auctions; Resale; Incomplete information; Dynamic market interaction; D44; D82; D83;
    All these keywords.

    JEL classification:

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

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