IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/9805001.html
   My bibliography  Save this paper

Multiple-Object Auctions with Budget Constrained Bidders

Author

Listed:
  • Jean-Pierre Benoit

    (New York University)

  • Vijay Krishna

    (Penn State University)

Abstract

A seller with two objects faces a group of bidders who are subject to budget constraints. The objects have common values to all bidders, but need not be identical and may be either complements or substitutes. In a simple complete information setting we show: (1) if the objects are sold by means of a sequence of open ascending auctions, then it is always optimal to sell the more valuable object first; (2) the sequential auction yields more revenue than the simultaneous ascending auction used recently by the FCC if the discrepancy in the values is large, or if there are significant complementarities; (3) a hybrid simultaneous- sequential form is revenue superior to the sequential auction; and (4) budget constraints arise endogenously.

Suggested Citation

  • Jean-Pierre Benoit & Vijay Krishna, 1998. "Multiple-Object Auctions with Budget Constrained Bidders," Game Theory and Information 9805001, University Library of Munich, Germany, revised 26 Jul 1999.
    • Handle: RePEc:wpa:wuwpga:9805001
    Note: Type of Document - SciWord-LaTex; prepared on IBM PC ; to print on HP Laserjet 4; pages: 34; figures: None
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9805/9805001.tex
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9805/9805001.pdf
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9805/9805001.ps.gz
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pitchik, Carolyn & Schotter, Andrew, 1986. "Budget Constrained Sequential Auctions," Working Papers 86-21, C.V. Starr Center for Applied Economics, New York University.
    2. David J. Salant, 1997. "Up in the Air: GTE's Experience in the MTA Auction for Personal Communication Services Licenses," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 549-572, September.
    3. Carolyn Pitchik & Andrew Schotter, 1988. "Perfect Equilibria in Budget-Constrained Sequential Auctions: An Experimental Study," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 363-388, Autumn.
    4. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(1), pages 1-21.
    5. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 497-527, September.
    6. Peter Cramton, 1997. "The FCC Spectrum Auctions: An Early Assessment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 431-495, September.
    7. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    8. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
    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. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    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. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    4. Jianfu Shen & Frederik Pretorius & K. W. Chau, 2018. "Land Auctions with Budget Constraints," The Journal of Real Estate Finance and Economics, Springer, vol. 56(3), pages 443-471, April.
    5. Roberto Burguet & R. McAfee, 2009. "License prices for financially constrained firms," Journal of Regulatory Economics, Springer, vol. 36(2), pages 178-198, October.
    6. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    7. Oktay Günlük & Lászlo Ladányi & Sven de Vries, 2005. "A Branch-and-Price Algorithm and New Test Problems for Spectrum Auctions," Management Science, INFORMS, vol. 51(3), pages 391-406, March.
    8. Lawrence M. Ausubel & Paul Milgrom, 2004. "Ascending Proxy Auctions," Discussion Papers 03-035, Stanford Institute for Economic Policy Research.
    9. Sunnevag, Kjell J., 2000. "Designing auctions for offshore petroleum lease allocation," Resources Policy, Elsevier, vol. 26(1), pages 3-16, March.
    10. 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.
    11. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    12. Peter Cramton, 2013. "Spectrum Auction Design," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 42(2), pages 161-190, March.
    13. Tilman Börgers & Christian Dustmann, 2005. "Strange Bids: Bidding Behaviour in the United Kingdom's Third Generation Spectrum Auction," Economic Journal, Royal Economic Society, vol. 115(505), pages 551-578, July.
    14. Ghosh, Gagan & Liu, Heng, 2019. "Sequential second-price auctions with private budgets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 611-632.
    15. Cramton Peter & Schwartz Jesse A, 2002. "Collusive Bidding in the FCC Spectrum Auctions," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 1(1), pages 1-20, December.
    16. Ghosh, Gagan, 2021. "Simultaneous auctions with budgets: Equilibrium existence and characterization," Games and Economic Behavior, Elsevier, vol. 126(C), pages 75-93.
    17. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    18. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    19. Abbink, Klaus & Irlenbusch, Bernd & Pezanis-Christou, Paul & Rockenbach, Bettina & Sadrieh, Abdolkarim & Selten, Reinhard, 2005. "An experimental test of design alternatives for the British 3G/UMTS auction," European Economic Review, Elsevier, vol. 49(2), pages 505-530, February.
    20. Martin Grossmann & Helmut Dietl, 2012. "Asymmetric contests with liquidity constraints," Public Choice, Springer, vol. 150(3), pages 691-713, March.

    More about this item

    Keywords

    Auctions; Budgets;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:wpa:wuwpga:9805001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.