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Dominance or maximin: How to solve an English auction

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Author Info
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.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 3 ()
Pages: 407-426
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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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Keywords: Auction theory · dominance solvability · maximin criterion

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  1. 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. [Downloadable!] (restricted)
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  2. Karine Brisset & Florence Naegelen, 2006. "Why the Reserve Price Should Not Be Kept Secret," Topics in Theoretical Economics, Berkeley Electronic Press, vol. 6(1), pages 1260-1260. [Downloadable!] (restricted)
  3. R. Mark Isaac & Timothy C. Salmon & Arthur Zillante, 2004. "A Theory of Jump Bidding in Ascending Auctions," Game Theory and Information 0404002, EconWPA. [Downloadable!]
    Other versions:
  4. Klaus Abbink & Bernd Irlenbusch & Paul Pezanis-Christou & Bettina Rockenbach & Abdolkarim Sadrieh & Reinhard Selten, 2001. "An Experimental Test of Design Alternatives for the British 3G / UMTS Auction," Bonn Econ Discussion Papers bgse25_2001, University of Bonn, Germany. [Downloadable!]
    Other versions:
  5. Ricardo Gonçalves, 2008. "A communication equilibrium in English auctions with discrete bidding," Documentos de Trabalho em Economia (Working Papers in Economics) 042008, Faculdade de Economia e Gestão, Universidade Católica Portuguesa (Porto). [Downloadable!]
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