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The Chopstick Auction: A Study of the Exposure Problem in Multi-Unit Auctions

Author

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

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

  • Florian Englmaier & Pablo Guillen & Loreto Llorente & Sander Onderstal & Rupert Sausgruber, 2006. "The Chopstick Auction: A Study of the Exposure Problem in Multi-Unit Auctions," CESifo Working Paper Series 1782, CESifo.
  • Handle: RePEc:ces:ceswps:_1782
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    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. Christian Ewerhart, 2016. "A "fractal" solution to the chopstick auction," ECON - Working Papers 229, Department of Economics - University of Zurich, revised Apr 2017.
    9. Mancini, Simona & Gansterer, Margaretha, 2022. "Bundle generation for last-mile delivery with occasional drivers," Omega, Elsevier, vol. 108(C).

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    More about this item

    Keywords

    chopstick auction; exposure problem; laboratory experiment; second-price sealed-bid auction;
    All these keywords.

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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