IDEAS home Printed from https://ideas.repec.org/p/pcc/pccumd/99wpvic.html

Vickrey Auctions with Reserve Pricing

Author

Abstract

We generalize the Vickrey auction to allow for reserve pricing in a multiple item auction with interdependent values. By withholding quantity in some circumstances, the seller can improve revenues or mitigate collusion. In the Vickrey auction with reserve pricing, the seller determines the quantity to be made available as a function of the bidders' private information, and then efficiently allocates this quantity among the bidders. Truthful bidding is a dominant strategy with private values and an ex post equilibrium with interdependent values. If the auction is followed by resale, then truthful bidding remains an equilibrium in the auction-plus-resale game. In settings where resale exhausts all the gains from trade among the bidders, the Vickrey auction with reserve pricing maximizes seller revenues.

Suggested Citation

  • Lawrence M. Ausubel & Peter Cramton, 2004. "Vickrey Auctions with Reserve Pricing," Papers of Peter Cramton 99wpvic, University of Maryland, Department of Economics - Peter Cramton, revised 28 Jun 1999.
    • Handle: RePEc:pcc:pccumd:99wpvic
    as

    Download full text from publisher

    File URL: https://www.cramton.umd.edu/papers1995-1999/99wp-vickrey-auctions-with-reserve-pricing.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Yvan Lengwiler, 1999. "The multiple unit auction with variable supply," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 373-392.
    2. Lawrence M. Ausubel & Peter Cramton, 1998. "The Optimality of Being Efficient," Papers of Peter Cramton 98wpoe, University of Maryland, Department of Economics - Peter Cramton, revised 18 Jun 1999.
    3. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    4. Partha Dasgupta & Eric Maskin, 2000. "Efficient Auctions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(2), pages 341-388.
    5. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    6. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    7. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    2. Lawrence M. Ausubel & Peter Cramton & Paul Milgrom, 2012. "System and Method for a Hybrid Clock and Proxy Auction," Papers of Peter Cramton 12acmhc, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
    3. Yuanguang Yu, 2012. "An Optimal Ad Valorem Tax/Subsidy with an Output-Based Refunded Emission Payment for Permits Auction in an Oligopoly Market," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 52(2), pages 235-248, June.
    4. Balmford, Ben & Collins, Joseph & Day, Brett & Lindsay, Luke & Peacock, James, 2023. "Pricing rules for PES auctions: Evidence from a natural experiment," Journal of Environmental Economics and Management, Elsevier, vol. 122(C).
    5. Cumpston, Anne & Khezr, Peyman, 2020. "Multi-Unit Auctions: A Survey of Theoretical Literature," MPRA Paper 101336, University Library of Munich, Germany.
    6. Bresky, Michal, 2013. "Revenue and efficiency in multi-unit uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 82(C), pages 205-217.
    7. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. David McAdams & Giuseppe Lopomo & Leslie Marx & Brian Murray, "undated". "Carbon Allowance Auction Design: An Assessment of Options for the U.S," Working Papers 10-64, Duke University, Department of Economics.
    9. Hongpeng Guo & Zhihao Lv & Junyi Hua & Hongxu Yuan & Qingyu Yu, 2021. "Design of Combined Auction Model for Emission Rights of International Forestry Carbon Sequestration and Other Pollutants Based on SMRA," Sustainability, MDPI, vol. 13(20), pages 1-18, October.
    10. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
    11. Alexander Teytelboym & Shengwu Li & Scott Duke Kominers & Mohammad Akbarpour & Piotr Dworczak, 2021. "Discovering Auctions: Contributions of Paul Milgrom and Robert Wilson," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(3), pages 709-750, July.
    12. repec:awi:wpaper:0460 is not listed on IDEAS
    13. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    14. Di Xiao & Andreas Krause, 2022. "Bank demand for central bank liquidity and its impact on interbank markets," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(3), pages 639-679, July.
    15. Cramton, Peter & Kerr, Suzi, 2002. "Tradeable carbon permit auctions: How and why to auction not grandfather," Energy Policy, Elsevier, vol. 30(4), pages 333-345, March.
    16. 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.
    17. Roberto Burguet, 2000. "Auction theory: a guided tour," Investigaciones Economicas, Fundación SEPI, vol. 24(1), pages 3-50, January.
    18. Monostori, Zoltán, 2013. "Diszkriminatív áras és egyenáras aukciók [Discriminatory and uniform-price auctions]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(10), pages 1048-1074.
    19. Jae-Do Song & Young-Hwan Ahn, 2021. "Price Discovery of Consignment Auctions for Emission Permits," Energies, MDPI, vol. 14(21), pages 1-13, October.
    20. Lawrence M. Ausubel & Peter Cramton & Wynne P. Jones, 2012. "System and Method for an Auction of Multiple Types of Items," Papers of Peter Cramton 11acjam, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
    21. Sandro Brusco & Giuseppe Lopomo, 2004. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Levine's Bibliography 122247000000000385, UCLA Department of Economics.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pcc:pccumd:99wpvic. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Cramton (email available below). General contact details of provider: https://www.cramton.umd.edu .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.