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A communication equilibrium in English auctions with discrete bidding

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Author Info
Ricardo Gonçalves () (Faculdade de Economia e Gestão - Universidade Católica Portuguesa (Porto))

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Abstract

This paper analyses a model of a common value English auction with discrete bidding. In this model, we show that there exists a communication equilibrium in which the high signal bidder strategically chooses his first bid so as to maximise his expected utility. Straightforward bidding, or increasing the bid by the minimum amount possible, is the equilibrium strategy for both bidders in all other auction rounds. We relate this result to recent research on English auctions with discrete bidding and auctions where bidders may have noisy information about their opponent's signals.

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Publisher Info
Paper provided by Faculdade de Economia e Gestão, Universidade Católica Portuguesa (Porto) in its series Documentos de Trabalho em Economia (Working Papers in Economics) with number 04.

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Length: 17 pages
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:cap:wpaper:042008

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Related research
Keywords: English Auctions; discrete bidding; communication equilibrium;

Find related papers by JEL classification:
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. Peter Cramton, 1997. "The FCC Spectrum Auctions: An Early Assessment," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 431-495, 09. [Downloadable!] (restricted)
    Other versions:
  2. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January. [Downloadable!] (restricted)
  3. Avery, Christopher, 1998. "Strategic Jump Bidding in English Auctions," Review of Economic Studies, Blackwell Publishing, vol. 65(2), pages 185-210, April. [Downloadable!] (restricted)
  4. Steven A. Matthews, 1995. "A Technical Primer on Auction Theory I: Independent Private Values," Discussion Papers 1096, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  6. Ulrich Kamecke, 1998. "Dominance or maximin: How to solve an English auction," International Journal of Game Theory, Springer, vol. 27(3), pages 407-426. [Downloadable!] (restricted)
  7. Plott, Charles R. & Salmon, Timothy C., 2004. "The simultaneous, ascending auction: dynamics of price adjustment in experiments and in the UK3G spectrum auction," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 353-383, March. [Downloadable!] (restricted)
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  8. Fang, Hanming & Morris, Stephen, 2006. "Multidimensional private value auctions," Journal of Economic Theory, Elsevier, vol. 126(1), pages 1-30, January. [Downloadable!] (restricted)
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  9. Mireia Jofre-Bonet & Martin Pesendorfer, 2003. "Estimation of a Dynamic Auction Game," Econometrica, Econometric Society, vol. 71(5), pages 1443-1489, 09. [Downloadable!] (restricted)
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  10. Lucking-Reiley, David, 2000. "Auctions on the Internet: What's Being Auctioned, and How?," Journal of Industrial Economics, Blackwell Publishing, vol. 48(3), pages 227-52, September. [Downloadable!] (restricted)
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  12. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November. [Downloadable!] (restricted)
  13. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
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  15. Patrick Bajari & Ali Hortacsu, 2004. "Economic Insights from Internet Auctions," Journal of Economic Literature, American Economic Association, vol. 42(2), pages 457-486, June. [Downloadable!] (restricted)
  16. R. Isaac & Timothy Salmon & Arthur Zillante, 2005. "An experimental test of alternative models of bidding in ascending auctions," International Journal of Game Theory, Springer, vol. 33(2), pages 287-313, 06. [Downloadable!] (restricted)
  17. Harrison Cheng, 2004. "Optimal Auction Design with Discrete Bidding," KIER Working Papers 592, Kyoto University, Institute of Economic Research.
  18. Rothkopf, Michael H. & Harstad, Ronald M., 1994. "On the role of discrete bid levels in oral auctions," European Journal of Operational Research, Elsevier, vol. 74(3), pages 572-581, May. [Downloadable!] (restricted)
  19. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  20. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  21. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February. [Downloadable!] (restricted)
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    Other versions:
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