IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v51y2005i3p508-518.html
   My bibliography  Save this article

Low-Revenue Equilibria in Simultaneous Ascending-Bid Auctions

Author

Listed:
  • Richard Engelbrecht-Wiggans

    (Department of Business Administration, University of Illinois at Urbana-Champaign, Champaign, Illinois 61820)

  • Charles M. Kahn

    (Department of Finance, University of Illinois at Urbana-Champaign, Champaign, Illinois 61820)

Abstract

Low-revenue equilibria allow participants in an auction to obtain goods at prices lower than would prevail in a competitive market. These outcomes are generated as perfect equilibria of ascending-bid, multiunit auctions. We show that these equilibria are possible under mild conditions---conditions that are likely to prevail in many situations where auction formats have recently been adopted. We argue that these equilibria could explain the low revenues of some recent auctions, and discuss potential remedies to eliminate low-revenue equilibria.

Suggested Citation

  • Richard Engelbrecht-Wiggans & Charles M. Kahn, 2005. "Low-Revenue Equilibria in Simultaneous Ascending-Bid Auctions," Management Science, INFORMS, vol. 51(3), pages 508-518, March.
  • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:3:p:508-518
    DOI: 10.1287/mnsc.1040.0339
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1040.0339
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.1040.0339?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Sandro Brusco & Giuseppe Lopomo, 2002. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 407-436.
    2. Paul Milgrom, 2000. "Putting Auction Theory to Work: The Simultaneous Ascending Auction," Journal of Political Economy, University of Chicago Press, vol. 108(2), pages 245-272, April.
    3. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 227-258.
    4. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Corrigendum to "Tacit collusion in repeated auctions" [J. Econ. Theory 114 (2004) 153-169]," Journal of Economic Theory, Elsevier, vol. 114(2), pages 370-371, February.
    5. 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.
    6. 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.
    7. Baldwin, Laura H & Marshall, Robert C & Richard, Jean-Francois, 1997. "Bidder Collusion at Forest Service Timber Sales," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 657-699, August.
    8. Cramton, Peter C, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(2), pages 267-343, Summer.
    9. 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.
    10. Peter Cramton, 1997. "The FCC Spectrum Auctions: An Early Assessment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 431-495, September.
    11. Christopher Avery, 1998. "Strategic Jump Bidding in English Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(2), pages 185-210.
    12. R. Preston McAfee & John McMillan, 1996. "Analyzing the Airwaves Auction," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 159-175, Winter.
    13. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    14. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
    15. Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 337-351, March.
    16. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
    17. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Paul Klemperer, 2002. "What Really Matters in Auction Design," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 169-189, Winter.
    2. Ken Binmore & Paul Klemperer, 2002. "The Biggest Auction Ever: the Sale of the British 3G Telecom Licences," Economic Journal, Royal Economic Society, vol. 112(478), pages 74-96, March.
    3. Klemperer, Paul, 2000. "Why every Economist should Learn some Auction Theory," CEPR Discussion Papers 2572, C.E.P.R. Discussion Papers.
    4. Antonio Miralles, 2010. "Self-enforced collusion through comparative cheap talk in simultaneous auctions with entry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 523-538, March.
    5. Sandro Brusco & Giuseppe Lopomo, 2009. "Simultaneous ascending auctions with complementarities and known budget constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 105-124, January.
    6. Che, Yeon-Koo & Condorelli, Daniele & Kim, Jinwoo, 2018. "Weak cartels and collusion-proof auctions," Journal of Economic Theory, Elsevier, vol. 178(C), pages 398-435.
    7. Sano, Ryuji, 2012. "Non-bidding equilibrium in an ascending core-selecting auction," Games and Economic Behavior, Elsevier, vol. 74(2), pages 637-650.
    8. Gonçalves, Ricardo & Ray, Indrajit, 2017. "Partition Equilibria in a Japanese-English Auction with Discrete Bid Levels for the Wallet Game," CRETA Online Discussion Paper Series 34, Centre for Research in Economic Theory and its Applications CRETA.
    9. Lavi, Ron & Oren, Sigal, 2012. "Side-communication yields efficiency of ascending auctions: The two-items case," Games and Economic Behavior, Elsevier, vol. 76(2), pages 439-456.
    10. Dan Levin, 2005. "Demand Reduction in Multi-Unit Auctions: Evidence from a Sportscard Field Experiment: Comment," American Economic Review, American Economic Association, vol. 95(1), pages 467-471, March.
    11. Veronika Grimm & Frank Riedel & Elmar G. Wolfstetter, 2001. "The Third Generation (UMTS) Spectrum Auction in Germany," CESifo Working Paper Series 584, CESifo.
    12. 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.
    13. Wolfstetter, Elmar, 2001. "The Swiss UMTS spectrum auction flop: Bad luck or bad design?," SFB 373 Discussion Papers 2001,50, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    14. Emmanuel LORENZON, 2016. "Collusion with a Greedy Center in Position Auctions," Cahiers du GREThA (2007-2019) 2016-08, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    15. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    16. Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2003. "Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany," International Journal of Industrial Organization, Elsevier, vol. 21(10), pages 1557-1569, December.
    17. G. Anandalingam & Robert W. Day & S. Raghavan, 2005. "The Landscape of Electronic Market Design," Management Science, INFORMS, vol. 51(3), pages 316-327, March.
    18. Rodney J. Garratt & Thomas Trˆger & Charles Z. Zheng, 2009. "Collusion via Resale," Econometrica, Econometric Society, vol. 77(4), pages 1095-1136, July.
    19. Alexander L. Brown & Charles R. Plott & Heidi J. Sullivan, 2009. "Collusion Facilitating And Collusion Breaking Power Of Simultaneous Ascending And Descending Price Auctions," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 395-424, July.
    20. Sascha Füllbrunn, 2007. "Collusion or Sniping in simultaneous ascending Auctions," FEMM Working Papers 07025, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    21. Klemperer, Paul, 2000. "What Really Matters in Auction Design: the European Spectrum Auctions," Econometric Society World Congress 2000 Contributed Papers 1937, Econometric Society.

    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, 2004. "Simultaneous Ascending Auction," Papers of Peter Cramton 04mit4, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
    2. 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.
    3. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    4. 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.
    5. 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.
    6. Peter Cramton, 2013. "Spectrum Auction Design," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 42(2), pages 161-190, March.
    7. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Cramton, Peter & Schwartz, Jesse A, 2000. "Collusive Bidding: Lessons from the FCC Spectrum Auctions," Journal of Regulatory Economics, Springer, vol. 17(3), pages 229-252, May.
    9. Dirk Engelmann & Veronika Grimm, 2009. "Bidding Behaviour in Multi-Unit Auctions - An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 119(537), pages 855-882, April.
    10. Patrick Bajari & Jungwon Yeo, 2008. "Auction Design and Tacit Collusion in FCC Spectrum Auctions," NBER Working Papers 14441, National Bureau of Economic Research, Inc.
    11. 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.
    12. Emmanuel LORENZON, 2016. "Collusion with a Greedy Center in Position Auctions," Cahiers du GREThA (2007-2019) 2016-08, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    13. Cramton, Peter, 1998. "Ascending auctions," European Economic Review, Elsevier, vol. 42(3-5), pages 745-756, May.
    14. Lavi, Ron & Oren, Sigal, 2012. "Side-communication yields efficiency of ascending auctions: The two-items case," Games and Economic Behavior, Elsevier, vol. 76(2), pages 439-456.
    15. Paul Klemperer, 2007. "Bidding Markets," Journal of Competition Law and Economics, Oxford University Press, vol. 3(1), pages 1-47.
    16. Che,Y.-K. & Kim,J., 2004. "Collusion-proof implementation of optimal mechanisms," Working papers 4, Wisconsin Madison - Social Systems.
    17. Sherstyuk, Katerina & Dulatre, Jeremy, 2008. "Market performance and collusion in sequential and simultaneous multi-object auctions: Evidence from an ascending auctions experiment," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 557-572, March.
    18. Jeremy T. Fox & Patrick Bajari, 2013. "Measuring the Efficiency of an FCC Spectrum Auction," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 100-146, February.
    19. Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2003. "Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany," International Journal of Industrial Organization, Elsevier, vol. 21(10), pages 1557-1569, December.
    20. Peter Cramton, 1997. "The FCC Spectrum Auctions: An Early Assessment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 431-495, September.

    More about this item

    Keywords

    auctions; bidding; collusion;
    All these keywords.

    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:inm:ormnsc:v:51:y:2005:i:3:p:508-518. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.