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Smarter than Others? Conjectures in Lowest Unique Bid Auctions

Author

Listed:
  • Cancan Zhou
  • Hongguang Dong
  • Rui Hu
  • Qinghua Chen

Abstract

Research concerning various types of auctions, such as English auctions, Dutch auctions, highest-price sealed-bid auctions, and second-price sealed-bid auctions, is always a topic of considerable interest in interdisciplinary fields. The type of auction, known as a lowest unique bid auction (LUBA), has also attracted significant attention. Various models have been proposed, but they often fail to explain satisfactorily the real bid-distribution characteristics. This paper discusses LUBA bid-distribution characteristics, including the inverted-J shape and the exponential decrease in the upper region. The authors note that this type of distribution, which initially increases and later decreases, cannot be derived from the symmetric Nash equilibrium framework based on perfect information that has previously been used. A novel optimization model based on non-perfect information is presented. The kernel of this model is the premise that agents make decisions to achieve maximum profit based on imaginary information or assumptions regarding the behavior of others.

Suggested Citation

  • Cancan Zhou & Hongguang Dong & Rui Hu & Qinghua Chen, 2015. "Smarter than Others? Conjectures in Lowest Unique Bid Auctions," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-13, April.
    • Handle: RePEc:plo:pone00:0122923
    DOI: 10.1371/journal.pone.0122923
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    References listed on IDEAS

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    1. Simone Pigolotti & Sebastian Bernhardsson & Jeppe Juul & Gorm Galster & Pierpaolo Vivo, 2011. "Equilibrium strategy and population-size effects in lowest unique bid auctions," Papers 1105.0819, arXiv.org, revised Feb 2012.
    2. Simone Pigolotti & Sebastian Bernhardsson & Jeppe Juul & Gorm Galster & Pierpaolo Vivo, 2012. "Equilibrium strategy and population-size effects in lowest unique bid auctions," Post-Print hal-00681002, HAL.
    3. 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.
    4. Filippo Radicchi & Andrea Baronchelli & Luís A N Amaral, 2012. "Rationality, Irrationality and Escalating Behavior in Lowest Unique Bid Auctions," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-8, January.
    5. 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.
    6. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    7. 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.
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    Cited by:

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    3. Nadir Altinok & Abdurrahman Aydemir, 2015. "The Unfolding of Gender Gap in Education," Working Papers 934, Economic Research Forum, revised Aug 2015.

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