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Theoretical approaches to lowest unique bid auctions

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  • Costa-Gomes, Miguel A.
  • Shimoji, Makoto

Abstract

In this paper, we analyze a game called the lowest unique bid auction (LUBA). It is known that there is no closed form solution for the symmetric mixed strategy equilibria in LUBA. We propose two alternative approaches. We use weak dominance to identify upper bounds for players’ bids. Under symmetry, we provide a method to compute a mixed strategy equilibrium by utilizing the recursive structure of the winning chances of the bids under one assumption.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:mateco:v:52:y:2014:i:c:p:16-24
    DOI: 10.1016/j.jmateco.2014.02.011
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    References listed on IDEAS

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    1. Brennan C. Platt & Joseph Price & Henry Tappen, 2013. "The Role of Risk Preferences in Pay-to-Bid Auctions," Management Science, INFORMS, vol. 59(9), pages 2117-2134, September.
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    8. 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.
    9. Raviv, Yaron & Virag, Gabor, 2009. "Gambling by auctions," International Journal of Industrial Organization, Elsevier, vol. 27(3), pages 369-378, May.
    10. 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.
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    Cited by:

    1. Mohlin, Erik & Östling, Robert & Wang, Joseph Tao-yi, 2015. "Lowest unique bid auctions with population uncertainty," Economics Letters, Elsevier, vol. 134(C), pages 53-57.
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    3. Erik Mohlin & Robert Ostling & Joseph Tao-yi Wang, 2014. "Learning by Imitation in Games: Theory, Field, and Laboratory," Economics Series Working Papers 734, University of Oxford, Department of Economics.
    4. Mohlin, Erik & Östling, Robert & Wang, Joseph Tao-yi, 2020. "Learning by similarity-weighted imitation in winner-takes-all games," Games and Economic Behavior, Elsevier, vol. 120(C), pages 225-245.

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