IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v153y2014icp506-533.html
   My bibliography  Save this article

An equilibrium analysis of the simultaneous ascending auction

Author

Listed:
  • Goeree, Jacob K.
  • Lien, Yuanchuan

Abstract

We provide a Bayes–Nash equilibrium analysis of the simultaneous ascending auction (SAA) when local bidders interested in a single item compete against global bidders interested in aggregating many items. We first assume that each local bidder values only a specific item, e.g. the license for the region where it has monopoly power, and that global bidders' valuation functions are convex. For this environment we show that a global bidder faces an exposure problem with adverse consequences for revenue and efficiency. In the limit when the number of items grows large, the SAA is revenue and efficiency equivalent to the Vickrey–Clarke–Groves (VCG) mechanism. We extend our analysis to include the case where items are substitutes for local bidders, so that price arbitrage will occur as observed in many spectrum auctions. This environment, which combines substitutes and complements, results in an aggravated exposure problem. Consequently, the SAA is no longer efficient and may yield dramatically lower revenues than the VCG mechanism. Finally, we relax the assumption that global bidders' valuation functions are convex by considering an environment with medium-sized global bidders who demand fewer than all items. We show that global bidders divide the market at low prices when market sharing is feasible while they engage in mutually destructive bidding when there is a fitting problem. In both cases, the SAA again underperforms relative to the VCG mechanism.

Suggested Citation

  • Goeree, Jacob K. & Lien, Yuanchuan, 2014. "An equilibrium analysis of the simultaneous ascending auction," Journal of Economic Theory, Elsevier, vol. 153(C), pages 506-533.
  • Handle: RePEc:eee:jetheo:v:153:y:2014:i:c:p:506-533
    DOI: 10.1016/j.jet.2014.07.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053114001070
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2014.07.014?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
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of 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," Review of Economic Studies, Oxford University Press, vol. 69(2), pages 407-436.
    2. Chernomaz, Kirill & Levin, Dan, 2012. "Efficiency and synergy in a multi-unit auction with and without package bidding: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 611-635.
    3. 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.
    4. Gian Albano & Fabrizio Germano & Stefano Lovo, 2006. "Retaliatory Equilibria in a Japanese Ascending Auction for Multiple Objects," Review of Economic Design, Springer;Society for Economic Design, vol. 10(1), pages 1-8, April.
    5. 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.
    6. Rosenthal, Robert W. & Wang, Ruqu, 1996. "Simultaneous Auctions with Synergies and Common Values," Games and Economic Behavior, Elsevier, vol. 17(1), pages 32-55, November.
    7. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1366-1400.
    8. Bykowsky, Mark M & Cull, Robert J & Ledyard, John O, 2000. "Mutually Destructive Bidding: The FCC Auction Design Problem," Journal of Regulatory Economics, Springer, vol. 17(3), pages 205-228, May.
    9. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, June.
    10. 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.
    11. 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.
    12. Michael H. Rothkopf & Aleksandar Pekev{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
    13. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
    14. 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.
    15. Christoph Brunner & Jacob K. Goeree & Charles A. Holt & John O. Ledyard, 2010. "An Experimental Test of Flexible Combinatorial Spectrum Auction Formats," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 39-57, February.
    16. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
    17. Gian Albano & Fabrizio Germano & Stefano Lovo, 2006. "Ascending auctions for multiple objects: the case for the Japanese design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 331-355, June.
    18. Szentes, Balazs & Rosenthal, Robert W., 2003. "Beyond chopsticks: Symmetric equilibria in majority auction games," Games and Economic Behavior, Elsevier, vol. 45(2), pages 278-295, November.
    19. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    20. Peter Cramton & Yoav Shoham & Richard Steinberg, 2004. "Combinatorial Auctions," Papers of Peter Cramton 04mit, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
    21. Goeree, Jacob K. & Holt, Charles A., 2010. "Hierarchical package bidding: A paper & pencil combinatorial auction," Games and Economic Behavior, Elsevier, vol. 70(1), pages 146-169, September.
    22. Szentes, Balazs & Rosenthal, Robert W., 2003. "Three-object two-bidder simultaneous auctions: chopsticks and tetrahedra," Games and Economic Behavior, Elsevier, vol. 44(1), pages 114-133, July.
    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. Bichler, Martin & Gretschko, Vitali & Janssen, Maarten, 2017. "Bargaining in spectrum auctions: A review of the German auction in 2015," Telecommunications Policy, Elsevier, vol. 41(5), pages 325-340.
    2. Sano, Ryuji, 2012. "Non-bidding equilibrium in an ascending core-selecting auction," Games and Economic Behavior, Elsevier, vol. 74(2), pages 637-650.
    3. Goetzendorff, Andor & Bichler, Martin & Goeree, Jacob K., 2018. "Synergistic valuations and efficiency in spectrum auctions," Telecommunications Policy, Elsevier, vol. 42(1), pages 91-105.
    4. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
    5. Todd R. Kaplan & Shmuel Zamir, 2014. "Advances in Auctions," Discussion Papers 1405, University of Exeter, Department of Economics.
    6. Rosa, Benjamin, 2019. "Bid Credits in Simultaneous Ascending Auctions," MPRA Paper 96895, University Library of Munich, Germany.
    7. Nicolas C. Bedard & Jacob K. Goeree & Philippos Louis & Jingjing Zhang, 2020. "The Favored but Flawed Simultaneous Multiple-Round Auction," Working Paper Series 2020/03, Economics Discipline Group, UTS Business School, University of Technology, Sydney.
    8. Kuś, Agnieszka, 2020. "Polish experience from first-ever spectrum auction," Telecommunications Policy, Elsevier, vol. 44(7).
    9. Bichler, Martin & Paulsen, Per, 2018. "A principal-agent model of bidding firms in multi-unit auctions," Games and Economic Behavior, Elsevier, vol. 111(C), pages 20-40.
    10. Gentry, Matthew & Komarova, Tatiana & Schiraldi, Pasquale & Shin, Wiroy, 2019. "On monotone strategy equilibria in simultaneous auctions for complementary goods," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 109-128.
    11. Bart Vangerven & Dries R. Goossens & Frits C. R. Spieksma, 2021. "Using Feedback to Mitigate Coordination and Threshold Problems in Iterative Combinatorial Auctions," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 63(2), pages 113-127, April.
    12. Marsden, Richard & Ihle, Hans-Martin, 2018. "Mechanisms to incentivise shared-use of spectrum," Telecommunications Policy, Elsevier, vol. 42(4), pages 315-322.
    13. Kemal Guler & Martin Bichler & Ioannis Petrakis, 2016. "Ascending Combinatorial Auctions with Risk Averse Bidders," Group Decision and Negotiation, Springer, vol. 25(3), pages 609-639, May.
    14. Janssen, Maarten & Kasberger, Bernhard, 2019. "On the clock of the combinatorial clock auction," Theoretical Economics, Econometric Society, vol. 14(4).
    15. Bichler, Martin & Goeree, Jacob K., 2017. "Frontiers in spectrum auction design," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 372-391.
    16. Meng, Xin & Gunay, Hikmet, 2017. "Exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 165-187.
    17. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    18. Kittsteiner, Thomas & Ott, Marion & Steinberg, Richard, 2017. "Competing Combinatorial Auctions," EconStor Preprints 171995, ZBW - Leibniz Information Centre for Economics.

    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. Brusco, Sandro & Lopomo, Giuseppe & Marx, Leslie M., 2009. "The [`]Google effect' in the FCC's 700Â MHz auction," Information Economics and Policy, Elsevier, vol. 21(2), pages 101-114, June.
    2. 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.
    3. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
    4. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    5. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
    6. Gentry, Matthew & Komarova, Tatiana & Schiraldi, Pasquale & Shin, Wiroy, 2019. "On monotone strategy equilibria in simultaneous auctions for complementary goods," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 109-128.
    7. Chernomaz, Kirill & Levin, Dan, 2012. "Efficiency and synergy in a multi-unit auction with and without package bidding: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 611-635.
    8. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    9. Marcelo Olivares & Gabriel Y. Weintraub & Rafael Epstein & Daniel Yung, 2012. "Combinatorial Auctions for Procurement: An Empirical Study of the Chilean School Meals Auction," Management Science, INFORMS, vol. 58(8), pages 1458-1481, August.
    10. Englmaier, Florian & Guillén, Pablo & Llorente, Loreto & Onderstal, Sander & Sausgruber, Rupert, 2009. "The chopstick auction: A study of the exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 286-291, March.
    11. Patrick Bajari & Jungwon Yeo, 2008. "Auction Design and Tacit Collusion in FCC Spectrum Auctions," NBER Working Papers 14441, National Bureau of Economic Research, Inc.
    12. Meng, Xin & Gunay, Hikmet, 2017. "Exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 165-187.
    13. 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.
    14. Peter Cramton, 2004. "Simultaneous Ascending Auction," Papers of Peter Cramton 04mit4, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
    15. Cantillon, Estelle & Pesendorfer, Martin, 2007. "Combination Bidding in Multi-Unit Auctions," CEPR Discussion Papers 6083, C.E.P.R. Discussion Papers.
    16. Munro, David R. & Rassenti, Stephen J., 2019. "Combinatorial clock auctions: Price direction and performance," Games and Economic Behavior, Elsevier, vol. 117(C), pages 195-217.
    17. Bichler, Martin & Goeree, Jacob K., 2017. "Frontiers in spectrum auction design," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 372-391.
    18. Sano, Ryuji, 2012. "Non-bidding equilibrium in an ascending core-selecting auction," Games and Economic Behavior, Elsevier, vol. 74(2), pages 637-650.
    19. Elena Katok & Alvin E. Roth, 2004. "Auctions of Homogeneous Goods with Increasing Returns: Experimental Comparison of Alternative "Dutch" Auctions," Management Science, INFORMS, vol. 50(8), pages 1044-1063, August.
    20. 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.

    More about this item

    Keywords

    Ascending auctions; Exposure problem; Market design;
    All these keywords.

    JEL classification:

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

    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:eee:jetheo:v:153:y:2014:i:c:p:506-533. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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: Nithya Sathishkumar (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.