[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/dpr/wpaper/0848.html
   My bibliography  Save this paper

Exposure Problem in Multi-unit Auctions

Author

Listed:
  • Hikmet Gunay
  • Xin Meng
Abstract
We characterize the optimal bidding strategies of local and global bidders for two heterogenous licenses in a multi-unit simultaneous ascending auction. The global bidder wants to win both licenses to enjoy synergies; therefore, she bids more than her stand-alone valuation of a license. This exposes her to the risk of losing money even when she wins all licenses. We determine the optimal bidding strategies in the presence of an exposure problem. By using simulation methods, first, we show the frequency of inefficient allocation in the simultaneous ascending auction. Then, we show that the Vickrey-Clarke-Groves (VCG) mechanism may generate more revenue than the simultaneous ascending auction.

Suggested Citation

  • Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
  • Handle: RePEc:dpr:wpaper:0848
    as

    Download full text from publisher

    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2012/DP0848.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    4. 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.
    5. Wang, Ruqu, 2000. "Bidding and renegotiation in procurement auctions," European Economic Review, Elsevier, vol. 44(8), pages 1577-1597, August.
    6. 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.
    7. Domenico Menicucci, 2003. "Optimal two-object auctions with synergies," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 143-164, October.
    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. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
    10. 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.
    11. 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.
    12. Peter Cramton & Yoav Shoham & Richard Steinberg, 2004. "Combinatorial Auctions," Papers of Peter Cramton 04mit, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
    13. Levent Ülkü, 2013. "Optimal combinatorial mechanism design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 473-498, June.
    14. 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.
    15. Mishra, Debasis & Parkes, David C., 2009. "Multi-item Vickrey-Dutch auctions," Games and Economic Behavior, Elsevier, vol. 66(1), pages 326-347, May.
    16. 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.
    17. 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.
    18. Kagel, John H. & Levin, Dan, 2005. "Multi-unit demand auctions with synergies: behavior in sealed-bid versus ascending-bid uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 53(2), pages 170-207, November.
    19. Onderstal, A.M., 2002. "The Chopstick Auction," Other publications TiSEM 32a263a6-8738-46bb-8e64-1, Tilburg University, School of Economics and Management.
    20. Albano, Gian Luigi & Germano, Fabrizio & Lovo, Stefano, 2001. "A comparison of standard multi-unit auctions with synergies," Economics Letters, Elsevier, vol. 71(1), pages 55-60, April.
    21. Sano, Ryuji, 2012. "Non-bidding equilibrium in an ascending core-selecting auction," Games and Economic Behavior, Elsevier, vol. 74(2), pages 637-650.
    22. Indranil Chakraborty, 2004. "Multi-Unit Auctions with Synergy," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-14.
    23. Chow, YuenLeng & Yavas, Abdullah, 2008. "Auctions with Positive Synergies: Experimental Evidence," MPRA Paper 12669, University Library of Munich, Germany.
    24. 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.
    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. 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.
    2. Andrea Canidio & Felix Henneke, 2024. "Fair Combinatorial Auction for Blockchain Trade Intents: Being Fair without Knowing What is Fair," Papers 2408.12225, arXiv.org, revised Dec 2024.
    3. Rosa, Benjamin V., 2022. "Bid credits in simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 132(C), pages 189-203.
    4. GUNAY, Hikmet & MENG, Xin, 2017. "Which good to sell first in a sequential auction?," Discussion paper series HIAS-E-45, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    5. Meng, Xin & Gunay, Hikmet, 2022. "Different Number of Bidders in Sequential Auctions," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 63(1), pages 72-85, June.
    6. Ehrhart, Karl-Martin & Ott, Marion & Seifert, Stefan & Wang, Runxi, 2024. "Combinatorial auctions for renewable energy — potentials and challenges," Energy Policy, Elsevier, vol. 186(C).

    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. 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.
    2. 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.
    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. Anthony M. Kwasnica & Katerina Sherstyuk, 2013. "Multiunit Auctions," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 461-490, July.
    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. Patrick Bajari & Jungwon Yeo, 2008. "Auction Design and Tacit Collusion in FCC Spectrum Auctions," NBER Working Papers 14441, National Bureau of Economic Research, Inc.
    8. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    9. Lunander, Anders & Lundberg, Sofia, 2009. "Do Combinatorial Procurement Auctions Lower Cost? - An Empirical Analysis of Public Procurement of Multiple Contracts," Umeå Economic Studies 776, Umeå University, Department of Economics, revised 16 Sep 2009.
    10. Rosa, Benjamin V., 2022. "Bid credits in simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 132(C), pages 189-203.
    11. Bajari, Patrick & Yeo, Jungwon, 2009. "Auction design and tacit collusion in FCC spectrum auctions," Information Economics and Policy, Elsevier, vol. 21(2), pages 90-100, June.
    12. Marsden, Richard & Ihle, Hans-Martin, 2018. "Mechanisms to incentivise shared-use of spectrum," Telecommunications Policy, Elsevier, vol. 42(4), pages 315-322.
    13. Simon Loertscher & Leslie M. Marx & Tom Wilkening, 2015. "A Long Way Coming: Designing Centralized Markets with Privately Informed Buyers and Sellers," Journal of Economic Literature, American Economic Association, vol. 53(4), pages 857-897, December.
    14. 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.
    15. Thomas Kittsteiner & Marion Ott & Richard Steinberg, 2022. "Competing Combinatorial Auctions," Information Systems Research, INFORMS, vol. 33(4), pages 1130-1137, December.
    16. Aleksandar Pekev{c} & Michael H. Rothkopf, 2003. "Combinatorial Auction Design," Management Science, INFORMS, vol. 49(11), pages 1485-1503, November.
    17. LOVO, Stefano & ALBANO, Gian Luigi & GERMANO, Fabrizio, 2002. "On some collusive and signaling equilibria in ascending auctions for multiple objects," HEC Research Papers Series 765, HEC Paris.
    18. 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).
    19. 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.
    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

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • 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:dpr:wpaper:0848. 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: Librarian (email available below). General contact details of provider: https://edirc.repec.org/data/isosujp.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.