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Dominance or maximin: How to solve an English auction

Author

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  • Ulrich Kamecke

    (Humboldt-UniversitÄt zu Berlin, Lehrstuhl Wirtschaftspolitik, Spandauer Str. 1, D-10178 Berlin, Germany)

Abstract

It is widely believed that the English auction is solved after the dominated strategies are eliminated. This paper demonstrates that the dominance criterion is not very effective in many English auction models. To bid more than the true willingness to pay is dominated but a stronger solution concept is needed to deduce that the buyers increase the price in small steps up to their valuation. An iterated application of the dominance criterion does not solve the problem, but if it is assumed that the buyers use their maximin strategies the usual argument holds.

Suggested Citation

  • Ulrich Kamecke, 1998. "Dominance or maximin: How to solve an English auction," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(3), pages 407-426.
    • Handle: RePEc:spr:jogath:v:27:y:1998:i:3:p:407-426
    Note: Received May 1995/Final version May 1998
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    Citations

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    Cited by:

    1. Ricardo Gonçalves, 2008. "A communication equilibrium in English auctions with discrete bidding," Working Papers de Economia (Economics Working Papers) 042008, Católica Porto Business School, Universidade Católica Portuguesa.
    2. Brisset, Karine & Cochard, François & Le Gallo, Julie, 2015. "Secret versus public reserve price in an “outcry” English procurement auction: Experimental results," International Journal of Production Economics, Elsevier, vol. 169(C), pages 285-298.
    3. Alvin E. Roth & Axel Ockenfels, 2002. "Last-Minute Bidding and the Rules for Ending Second-Price Auctions: Evidence from eBay and Amazon Auctions on the Internet," American Economic Review, American Economic Association, vol. 92(4), pages 1093-1103, September.
    4. Cary A. Deck & Bart J. Wilson, 2008. "Fixed Revenue Auctions: Theory And Behavior," Economic Inquiry, Western Economic Association International, vol. 46(3), pages 342-354, July.
    5. Grimm, Veronika & Riedel, Frank & Wolfstetter, Elmar, 2003. "Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany," International Journal of Industrial Organization, Elsevier, vol. 21(10), pages 1557-1569, December.
    6. Abbink, Klaus & Irlenbusch, Bernd & Pezanis-Christou, Paul & Rockenbach, Bettina & Sadrieh, Abdolkarim & Selten, Reinhard, 2005. "An experimental test of design alternatives for the British 3G/UMTS auction," European Economic Review, Elsevier, vol. 49(2), pages 505-530, February.
    7. Isaac, R. Mark & Salmon, Timothy C. & Zillante, Arthur, 2007. "A theory of jump bidding in ascending auctions," Journal of Economic Behavior & Organization, Elsevier, vol. 62(1), pages 144-164, January.
    8. Eklof, Matias & Lunander, Anders, 2003. "Open outcry auctions with secret reserve prices: an empirical application to executive auctions of tenant owner's apartments in Sweden," Journal of Econometrics, Elsevier, vol. 114(2), pages 243-260, June.
    9. Kamecke, Ulrich, 2001. "Dominance solvable English matching auctions," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 253-269, November.

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