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Least Unmatched Price Auctions: A First Approach

Author

Listed:
  • Jürgen Eichberger

    () (University of Heidelberg, Department of Economics)

  • Dmitri Vinogradov

    () (University of Essex, Essex Business School,)

Abstract

Least-Unmatched Price Auctions have become a popular format of TV and radio shows. Increasingly, they are also applied in internet trading. In these auctions the lowest single (unique) bid wins. We analyze the game-theoretic solution of least unmatched price auctions when prize, bidding cost and the number of participants are known. We use a large data-set of such auctions in order to contrast actual behavior of players with game-theoretic predictions. In the aggregate, bidding behaviour seems to conform with a Nash equilibrium in mixed strategies.

Suggested Citation

  • Jürgen Eichberger & Dmitri Vinogradov, 2008. "Least Unmatched Price Auctions: A First Approach," Working Papers 0471, University of Heidelberg, Department of Economics, revised Jul 2008.
  • Handle: RePEc:awi:wpaper:0471
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    File URL: http://www.uni-heidelberg.de/md/awi/forschung/dp471.pdf
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    References listed on IDEAS

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    1. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    2. Kate Antonovics & Peter Arcidiacono & Randall Walsh, 2005. "Games and Discrimination: Lessons From The Weakest Link," Journal of Human Resources, University of Wisconsin Press, vol. 40(4), pages 918-947.
    3. Ockenfels, Axel & Roth, Alvin E., 2006. "Late and multiple bidding in second price Internet auctions: Theory and evidence concerning different rules for ending an auction," Games and Economic Behavior, Elsevier, vol. 55(2), pages 297-320, May.
    4. Antoni Bosch-Domènech & José G. Montalvo & Rosemarie Nagel & Albert Satorra, 2002. "One, Two, (Three), Infinity, ...: Newspaper and Lab Beauty-Contest Experiments," American Economic Review, American Economic Association, vol. 92(5), pages 1687-1701, December.
    5. Metrick, Andrew, 1995. "A Natural Experiment in "Jeopardy!"," American Economic Review, American Economic Association, vol. 85(1), pages 240-253, March.
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    Citations

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    Cited by:

    1. Gallice Andrea, 2016. "Price Reveal Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(2), pages 485-514, June.
    2. Di Gaetano, Luigi, 2011. "A model of descending auction with hidden starting price and endogenous price decrease," MPRA Paper 35773, University Library of Munich, Germany.
    3. Marco Scarsini & Eilon Solan & Nicolas Vieille, 2010. "Lowest Unique Bid Auctions," Papers 1007.4264, arXiv.org.
    4. 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.
    5. Robert Östling & Joseph Tao-yi Wang & Eileen Y. Chou & Colin F. Camerer, 2011. "Testing Game Theory in the Field: Swedish LUPI Lottery Games," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 1-33, August.
    6. 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.
    7. Harold Houba & Dinard van der Laan & Dirk Veldhuizen, 2008. "The Unique-lowest Sealed-bid Auction," Tinbergen Institute Discussion Papers 08-049/1, Tinbergen Institute.
    8. Robert Ostling & Joseph T Wang & Eileen Chou & Colin F Camerer, 2007. "Field and Lab Convergence in Poisson LUPI games," Levine's Bibliography 122247000000001530, UCLA Department of Economics.
    9. Costa-Gomes, Miguel A. & Shimoji, Makoto, 2014. "Theoretical approaches to lowest unique bid auctions," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 16-24.
    10. Nadir Altinok & Abdurrahman Aydemir, 2015. "The Unfolding of Gender Gap in Education," Working Papers 934, Economic Research Forum, revised Aug 2015.
    11. Takashi Yamada & Nobuyuki Hanaki, 2016. "An Experiment on Lowest Unique Integer Games," Post-Print halshs-01204814, HAL.
    12. Andrea Gallice, 2010. "Price Reveal Auctions on the Internet," Carlo Alberto Notebooks 147, Collegio Carlo Alberto.
    13. Eichberger, Jürgen & Vinogradov, Dmitri, 2016. "Efficiency of Lowest-Unmatched Price Auctions," Economics Letters, Elsevier, vol. 141(C), pages 98-102.
    14. Raviv, Yaron & Virag, Gabor, 2009. "Gambling by auctions," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 369-378, May.

    More about this item

    Keywords

    games; experiments;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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