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A communication equilibrium in English auctions with discrete bidding

  • Ricardo Gonçalves


    (Faculdade de Economia e Gestão - Universidade Católica Portuguesa - Porto)

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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Paper provided by Católica Porto Business School, Universidade Católica Portuguesa in its series Working Papers de Economia (Economics Working Papers) with number 042008.

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Length: 17 pages
Date of creation: Jun 2008
Date of revision:
Handle: RePEc:cap:wpaper:042008
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  1. Ulrich Kamecke, 1993. "Dominance or Maximin: How to Solve an English Auction," Discussion Paper Serie A 418, University of Bonn, Germany.
  2. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  3. Hanming Fang, 2004. "Multidimensional Private Value Auctions," Theory workshop papers 121473000000000021, UCLA Department of Economics.
  4. R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
  5. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-85, November.
  6. Harstad, Ronald M., 1991. "Asymmetric bidding in second-price, common-value auctions," Economics Letters, Elsevier, vol. 35(3), pages 249-252, March.
  7. 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.
  8. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
  9. R. Mark Isaac & Timothy C. Salmon & Arthur Zillante, 2004. "A Theory of Jump Bidding in Ascending Auctions," Game Theory and Information 0404002, EconWPA.
  10. 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.
  11. Mireia Jofre-Bonet & Martin Pesendorfer, 2001. "Estimation of a Dynamic Auction Game," NBER Working Papers 8626, National Bureau of Economic Research, Inc.
  12. Patrick Bajari & Ali Horta�su, 2004. "Economic Insights from Internet Auctions," Journal of Economic Literature, American Economic Association, vol. 42(2), pages 457-486, June.
  13. Harrison Cheng, 2004. "Optimal Auction Design with Discrete Bidding," KIER Working Papers 592, Kyoto University, Institute of Economic Research.
  14. Christopher Avery, 1998. "Strategic Jump Bidding in English Auctions," Review of Economic Studies, Oxford University Press, vol. 65(2), pages 185-210.
  15. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  16. Atanu R. Sinha & Eric A. Greenleaf, 2000. "The Impact of Discrete Bidding and Bidder Aggressiveness on Sellers' Strategies in Open English Auctions: Reserves and Covert Shilling," Marketing Science, INFORMS, vol. 19(3), pages 244-265, May.
  17. Kim, Jinwoo & Che, Yeon-Koo, 2004. "Asymmetric information about rivals' types in standard auctions," Games and Economic Behavior, Elsevier, vol. 46(2), pages 383-397, February.
  18. Peter Cramton, 1997. "The FCC Spectrum Auctions: An Early Assessment," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 431-495, 09.
  19. Börgers, Tilman & Dustmann, Christian, 2001. "Strange Bids: Bidding Behaviour in the United Kingdom's Third Generation Spectrum Auction," CEPR Discussion Papers 3072, C.E.P.R. Discussion Papers.
  20. 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.
  21. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-58, March.
  22. Lucking-Reiley, David, 2000. "Auctions on the Internet: What's Being Auctioned, and How?," Journal of Industrial Economics, Wiley Blackwell, vol. 48(3), pages 227-52, September.
  23. 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.
  24. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February.
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