IDEAS home Printed from https://ideas.repec.org/a/eee/indorg/v27y2009i2p286-291.html
   My bibliography  Save this article

The chopstick auction: A study of the exposure problem in multi-unit auctions

Author

Listed:
  • Englmaier, Florian
  • Guillén, Pablo
  • Llorente, Loreto
  • Onderstal, Sander
  • Sausgruber, Rupert

Abstract

Multi-unit auctions are sometimes plagued by the so-called exposure problem. In this paper, we analyze a simple game called the "chopstick auction" in which bidders are confronted with the exposure problem. We do so both in theory and in a laboratory experiment. In theory, the chopstick auction has an efficient equilibrium and is revenue equivalent with the second-price sealed-bid auction in which the exposure problem is not present. In the experiment, however, we find that the chopstick auction is less efficient than the second-price sealed-bid auction and that it yields more [the same] revenue if bidders are inexperienced [experienced].

Suggested Citation

  • 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.
  • Handle: RePEc:eee:indorg:v:27:y:2009:i:2:p:286-291
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7187(08)00094-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Jeremy Bulow & Ming Huang & Paul Klemperer, 1999. "Toeholds and Takeovers," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 427-454, June.
    2. Onderstal, A.M., 2002. "The Chopstick Auction," Discussion Paper 2002-35, Tilburg University, Center for Economic Research.
    3. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
    4. Yasar Barut & Dan Kovenock & Charles N. Noussair, 2002. "A Comparison of Multiple-Unit All-Pay and Winner-Pay Auctions Under Incomplete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(3), pages 675-708, August.
    5. van Damme, Eric, 2002. "The European UMTS-auctions," European Economic Review, Elsevier, vol. 46(4-5), pages 846-858, May.
    6. 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.
    7. 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.
    8. R. Preston McAfee & John McMillan, 1996. "Analyzing the Airwaves Auction," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 159-175, Winter.
    9. David Cooper & John H. Kagel, 2003. "Lessons Learned: Generalizing Learning Across Games," American Economic Review, American Economic Association, vol. 93(2), pages 202-207, May.
    10. Paul Klemperer, 2002. "What Really Matters in Auction Design," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 169-189, Winter.
    11. 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.
    12. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
    13. 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.
    14. 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.
    15. repec:bla:jemstr:v:4:y:1995:i:2:p:267-343:a is not listed on IDEAS
    16. Douglas Davis & Robert Reilly, 1998. "Do too many cooks always spoil the stew? An experimental analysis of rent-seeking and the role of a strategic buyer," Public Choice, Springer, vol. 95(1), pages 89-115, April.
    17. Ken Binmore & Joe Swierzbinski, 2000. "original papers : Treasury auctions: Uniform or discriminatory?," Review of Economic Design, Springer;Society for Economic Design, vol. 5(4), pages 387-410.
    18. Cramton, Peter, 1998. "The Efficiency of the FCC Spectrum Auctions," Journal of Law and Economics, University of Chicago Press, vol. 41(2), pages 727-736, October.
    19. Jan Potters & Casper G. Vries & Frans Winden, 1998. "An experimental examination of rational rent-seeking," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 663-680, Springer.
    20. 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.
    21. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    22. Coppinger, Vicki M & Smith, Vernon L & Titus, Jon A, 1980. "Incentives and Behavior in English, Dutch and Sealed-Bid Auctions," Economic Inquiry, Western Economic Association International, vol. 18(1), pages 1-22, January.
    23. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
    24. 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.
    25. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    26. van Damme, E.E.C., 1999. "The Dutch DCS-1800 Auction," Discussion Paper 1999-77, Tilburg University, Center for Economic Research.
    27. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    28. Noussair, Charles & Silver, Jonathon, 2006. "Behavior in all-pay auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 55(1), pages 189-206, April.
    29. 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.
    30. Ronald Harstad, 2000. "Dominant Strategy Adoption and Bidders' Experience with Pricing Rules," Experimental Economics, Springer;Economic Science Association, vol. 3(3), pages 261-280, December.
    31. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    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. 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.
    2. Meng, Xin & Gunay, Hikmet, 2017. "Exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 165-187.
    3. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and its Applications," De Economist, Springer, vol. 154(2), pages 197-249, June.
    4. 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.
    5. Christian Ewerhart, 2022. "A “fractal” solution to the chopstick auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1025-1041, November.
    6. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    7. Anthony M. Kwasnica & Katerina Sherstyuk, 2013. "Multiunit Auctions," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 461-490, July.
    8. Mancini, Simona & Gansterer, Margaretha, 2022. "Bundle generation for last-mile delivery with occasional drivers," Omega, Elsevier, vol. 108(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. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    2. Emiel Maasland & Sander Onderstal, 2006. "Going, Going, Gone! A Swift Tour of Auction Theory and its Applications," De Economist, Springer, vol. 154(2), pages 197-249, June.
    3. 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.
    4. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    5. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    6. 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.
    7. Ivanova-Stenzel, Radosveta & Salmon, Timothy C., 2008. "Revenue equivalence revisited," Games and Economic Behavior, Elsevier, vol. 64(1), pages 171-192, September.
    8. 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.
    9. Hannah Hörisch & Oliver Kirchkamp, 2010. "Less fighting than expected," Public Choice, Springer, vol. 144(1), pages 347-367, July.
    10. Söllner, Matthias, 2008. "Menschliches Verhalten in elektronischen Märkten," Bayreuth Reports on Information Systems Management 34, University of Bayreuth, Chair of Information Systems Management.
    11. Committee, Nobel Prize, 2020. "Improvements to auction theory and inventions of new auction formats," Nobel Prize in Economics documents 2020-2, Nobel Prize Committee.
    12. Marja Appelman & S. Onderstal & Joeri Gorter & Mark Lijesen & Richard Venniker, 2003. "Equal rules or equal opportunities? Demystifying level playing field," CPB Document 34, CPB Netherlands Bureau for Economic Policy Analysis.
    13. Oliver Kirchkamp & Wladislaw Mill, 2019. "Spite vs. risk: explaining overbidding," CESifo Working Paper Series 7631, CESifo.
    14. Kirchkamp, Oliver & Mill, Wladislaw, 2021. "Spite vs. risk: Explaining overbidding in the second-price all-pay auction," Games and Economic Behavior, Elsevier, vol. 130(C), pages 616-635.
    15. van Damme, Eric, 2002. "The European UMTS-auctions," European Economic Review, Elsevier, vol. 46(4-5), pages 846-858, May.
    16. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.
    17. Andreoni, James & Brownback, Andy, 2017. "All pay auctions and group size: Grading on a curve and other applications," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 361-373.
    18. Kirchkamp, O. & Reiss, J.P. & Sadrieh, A., 2008. "A pure variation of risk in private-value auctions," Research Memorandum 050, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    19. Noussair, Charles & Silver, Jonathon, 2006. "Behavior in all-pay auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 55(1), pages 189-206, April.
    20. Filiz-Ozbay, Emel & Lopez-Vargas, Kristian & Ozbay, Erkut Y., 2015. "Multi-object auctions with resale: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 89(C), pages 1-16.

    More about this item

    Keywords

    Chopstick auction Exposure problem Laboratory experiment Second-price sealed-bid auction;

    JEL classification:

    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • 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:indorg:v:27:y:2009:i:2:p:286-291. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505551 .

    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.