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Inefficiency of equilibria in query auctions with continuous valuations

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Author Info
Grigorieva, Elena
Herings, P. Jean-Jacques
Müller, Rudolf
Vermeulen, Dries (METEOR)

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Abstract

We show that, when bidders have continuous valuations, any ex post equilibrium in an ex post individually rational query auction can only be ex post efficient when the running timeof the auction is infinite for almost all realizations of valuations of the bidders. We also show that this result applies to the general class of bisection auctions. In contrast we show that, when we allow for inefficient allocations with arbitrarily small probability, there is a query auction (to be more specific, a bisection auction) that attains this level of approximate efficiency in equilibrium, while additionally the running time of the auction in equilibrium is finite for all realizations of valuations.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 017.

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Date of creation: 2006
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Handle: RePEc:dgr:umamet:2006017

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Keywords: mathematical economics;

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  1. De Silva, Dakshina G. & Jeitschko, Thomas D. & Kosmopoulou, Georgia, 2005. "Stochastic synergies in sequential auctions," International Journal of Industrial Organization, Elsevier, vol. 23(3-4), pages 183-201, April. [Downloadable!] (restricted)
  2. Klemperer, Paul, 2002. "How (Not) to Run Auctions: The European 3G Telecom Auctions," CEPR Discussion Papers 3215, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  3. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 6(3), pages 497-527, 09. [Downloadable!] (restricted)
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  4. Hendricks, Kenneth & Porter, Robert H, 1988. "An Empirical Study of an Auction with Asymmetric Information," American Economic Review, American Economic Association, vol. 78(5), pages 865-83, December. [Downloadable!] (restricted)
  5. Ashenfelter, Orley & Genesove, David, 1992. "Testing for Price Anomalies in Real-Estate Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 501-05, May. [Downloadable!] (restricted)
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  6. Black, Jane & De Meza, David, 1992. "Systematic Price Differences between Successive Auctions Are No Anomaly," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 1(4), pages 607-28, Winter.
  7. Menezes, Flavio M. & Monteiro, Paulo K., 2004. "Auctions with synergies and asymmetric buyers," Economics Letters, Elsevier, vol. 85(2), pages 287-294, November. [Downloadable!] (restricted)
  8. Engelbrecht-Wiggans, Richard, 1994. "Sequential auctions of stochastically equivalent objects," Economics Letters, Elsevier, vol. 44(1-2), pages 87-90. [Downloadable!] (restricted)
  9. Branco, Fernando, 1997. "Sequential auctions with synergies: An example," Economics Letters, Elsevier, vol. 54(2), pages 159-163, February. [Downloadable!] (restricted)
  10. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001. [Downloadable!]
  11. Robert J. Weber, 1981. "Multiple-Object Auctions," Discussion Papers 496, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  12. Yildirim, Huseyin, 2004. "Piecewise procurement of a large-scale project," International Journal of Industrial Organization, Elsevier, vol. 22(8-9), pages 1349-1375, November. [Downloadable!] (restricted)
  13. Dakshina G. De Silva, 2005. "Synergies in Recurring Procurement Auctions: An Empirical Investigation," Economic Inquiry, Oxford University Press, vol. 43(1), pages 55-66, January. [Downloadable!] (restricted)
  14. Thomas D. Jeitschko & Elmar Wolfstetter, 2002. "Scale Economies and the Dynamics of Recurring Auctions," Economic Inquiry, Oxford University Press, vol. 40(3), pages 403-414, July.
  15. Alan Beggs & Kathryn Graddy, 1997. "Declining Values and the Afternoon Effect: Evidence from Art Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(3), pages 544-565, Autumn. [Downloadable!] (restricted)
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  16. Farrell, Joseph & Klemperer, Paul, 2006. "Coordination and Lock-In: Competition with Switching Costs and Network Effects," CEPR Discussion Papers 5798, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  17. Olivier Chanel & Stéphanie Vincent, 1999. "The Declining Price Effect in Sequential Auctions: What Theory Does Not Predict," CIE Discussion Papers 1999-13, University of Copenhagen. Department of Economics. Centre for Industrial Economics. [Downloadable!]
  18. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November. [Downloadable!] (restricted)
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  19. 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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  20. Menezes, F. & Monteiro, P.K., 1999. "Synergies and Price Trends in Sequential Auctions," Papers 366, Australian National University - Department of Economics.
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Dietrich, Franz & List, Christian, 2006. "Judgment aggregation on restricted domains," Research Memoranda 033, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  2. Leufkens, Kasper & Peeters, Ronald & Vorsatz, Marc, 2006. "Sequential auctions with synergies: An experimental analysis," Research Memoranda 040, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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