IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/4185.html
   My bibliography  Save this paper

Unique bid auctions: Equilibrium solutions and experimental evidence

Author

Listed:
  • Rapoport, Amnon
  • Otsubo, Hironori
  • Kim, Bora
  • Stein, William E.

Abstract

Two types of auction were introduced on the Internet a few years ago and have rapidly been gaining widespread popularity. In both auctions, players compete for an exogenously determined prize by independently choosing an integer in some finite and common strategy space specified by the auctioneer. In the unique lowest (highest) bid auction, the winner of the prize is the player who submits the lowest (highest) bid, provided that it is unique. We construct the symmetric mixed-strategy equilibrium solutions to the two auctions, and then test them in a sequence of experiments that vary the number of bidders and size of the strategy space. Our results show that the aggregate bids, but only a minority of the individual bidders, are accounted for quite accurately by the equilibrium solutions.

Suggested Citation

  • Rapoport, Amnon & Otsubo, Hironori & Kim, Bora & Stein, William E., 2007. "Unique bid auctions: Equilibrium solutions and experimental evidence," MPRA Paper 4185, University Library of Munich, Germany, revised 17 Jul 2007.
  • Handle: RePEc:pra:mprapa:4185
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/4185/1/MPRA_paper_4185.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Ivanova-Stenzel, Radosveta & Sonsino, Doron, 2004. "Comparative study of one-bid versus two-bid auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 561-583, August.
    2. Patrick Bajari & Ali Hortaçsu, 2004. "Economic Insights from Internet Auctions," Journal of Economic Literature, American Economic Association, vol. 42(2), pages 457-486, June.
    3. Rapoport, Amnon & Seale, Darryl A. & Winter, Eyal, 2002. "Coordination and Learning Behavior in Large Groups with Asymmetric Players," Games and Economic Behavior, Elsevier, vol. 39(1), pages 111-136, April.
    4. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    5. Rapoport, Amnon & Stein, William E. & Parco, James E. & Seale, Darryl A., 2004. "Equilibrium play in single-server queues with endogenously determined arrival times," Journal of Economic Behavior & Organization, Elsevier, vol. 55(1), pages 67-91, September.
    6. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    7. Raviv, Yaron & Virag, Gabor, 2009. "Gambling by auctions," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 369-378, May.
    8. Theodore Turocy & Elizabeth Watson & Raymond Battalio, 2007. "Framing the first-price auction," Experimental Economics, Springer;Economic Science Association, vol. 10(1), pages 37-51, March.
    9. Darryl Seale & Amnon Rapoport, 2000. "Elicitation of Strategy Profiles in Large Group Coordination Games," Experimental Economics, Springer;Economic Science Association, vol. 3(2), pages 153-179, October.
    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. Raviv, Yaron & Virag, Gabor, 2009. "Gambling by auctions," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 369-378, May.
    2. Harold Houba & Dinard van der Laan & Dirk Veldhuizen, 2008. "The Unique-lowest Sealed-bid Auction," Tinbergen Institute Discussion Papers 08-049/1, Tinbergen Institute.
    3. Harold Houba & Dinard Laan & Dirk Veldhuizen, 2011. "Endogenous entry in lowest-unique sealed-bid auctions," Theory and Decision, Springer, vol. 71(2), pages 269-295, August.
    4. Eichberger, Jürgen & Vinogradov, Dmitri, 2016. "Efficiency of Lowest-Unmatched Price Auctions," Economics Letters, Elsevier, vol. 141(C), pages 98-102.
    5. Andrea Gallice, 2008. "Lowest Unique Bid Auctions over the Internet: Ability, Lottery or Scam?," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 0608, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
    6. repec:kap:compec:v:50:y:2017:i:4:d:10.1007_s10614-016-9614-z is not listed on IDEAS
    7. Yamada, Takashi & Hanaki, Nobuyuki, 2016. "An experiment on Lowest Unique Integer Games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 88-102.
    8. Nadir Altinok & Abdurrahman Aydemir, 2015. "The Unfolding of Gender Gap in Education," Working Papers 934, Economic Research Forum, revised Aug 2015.
    9. Toomas Hinnosaar, 2013. "Penny Auctions are Unpredictable," Carlo Alberto Notebooks 305, Collegio Carlo Alberto.

    More about this item

    Keywords

    unique bid auctions; equilibrium analysis; experiment;

    JEL classification:

    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:pra:mprapa:4185. 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: (Joachim Winter) or (Rebekah McClure). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    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 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.

    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.