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Efficiency of Large Double Auctions

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Author Info
Martin W. Cripps
Jeroen M. Swinkels

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Abstract

We consider large double auctions with private values. Values need be neither symmetric nor independent. Multiple units may be owned or desired. Participation may be stochastic. We introduce a very mild notion of "a little independence." We prove that all nontrivial equilibria of auctions that satisfy this notion are asymptotically efficient. For any alpha>0, inefficiency disappears at rate (1/n)^(2 alpha). Copyright The Econometric Society 2006.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00649.x
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 74 (2006)
Issue (Month): 1 (01)
Pages: 47-92
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Handle: RePEc:ecm:emetrp:v:74:y:2006:i:1:p:47-92

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References listed on IDEAS
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. Jackson, Matthew O. & Jeroen Swinkels, 2004. "Existence of Equilibrium in Single and Double Private Value Auctions," Working Papers 1192, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  2. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June. [Downloadable!] (restricted)
  3. Drew Fudenberg & Markus M. Mobius & Adam Szeidl, 2004. "Existence of Equilibrium in Large Double Auctions," Harvard Institute of Economic Research Working Papers 2033, Harvard - Institute of Economic Research. [Downloadable!]
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  4. Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  5. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November. [Downloadable!] (restricted)
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  6. Matthew O. Jackson & Leo K. Simon & Jeroen M. Swinkels & William R. Zame, 2002. "Communication and Equilibrium in Discontinuous Games of Incomplete Information," Econometrica, Econometric Society, vol. 70(5), pages 1711-1740, September. [Downloadable!] (restricted)
  7. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Blackwell Publishing, vol. 57(3), pages 351-67, July. [Downloadable!] (restricted)
  8. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
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  9. Mark A. Satterthwaite & Steven R. Williams, 2002. "The Optimality of a Simple Market Mechanism," Econometrica, Econometric Society, vol. 70(5), pages 1841-1863, September. [Downloadable!] (restricted)
  10. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  11. Milgrom, Paul R, 1979. "A Convergence Theorem for Competitive Bidding with Differential Information," Econometrica, Econometric Society, vol. 47(3), pages 679-88, May. [Downloadable!] (restricted)
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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. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "Bilateral Matching and Bargaining with Private Information," Micro Theory Working Papers shneyerov-07-05-01-03-38-, Microeconomics.ca Website, revised 01 May 2007. [Downloadable!]
  2. Michael Peters & Sergei Severinov, 2008. "An ascending double auction," Economic Theory, Springer, vol. 37(2), pages 281-306, November. [Downloadable!] (restricted)
    Other versions:
  3. Peters, Michael & Severinov, Sergei, 2005. "Internet Auctions with Many Traders," Micro Theory Working Papers peters-05-03-30-03-06-03, Microeconomics.ca Website, revised 23 Jan 2006. [Downloadable!]
    Other versions:
  4. Art Shneyerov, 2006. "Dynamic Matching with Two-sided Incomplete Information and Participation Costs," Theory workshop papers 815595000000000009, UCLA Department of Economics. [Downloadable!]
  5. Kovalenkov, Alex & Vives, Xavier, 2008. "Competitive Rational Expectations Equilibria Without Apology," CEPR Discussion Papers 7025, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  6. Vives, Xavier, 2008. "Strategic supply function competition with private information," IESE Research Papers D/774, IESE Business School. [Downloadable!]
    Other versions:
  7. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics. [Downloadable!]
  8. Yeon-Koo Che & Fuhito Kojima, 2008. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Cowles Foundation Discussion Papers 1677, Cowles Foundation, Yale University. [Downloadable!]
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  9. Satterthwaite, Mark & Shneyerov, Art, 2004. "Dynamic Matching,Two-sided Incomplete Information, and Participation Costs: Existence and Convergence to Perfect Competition," Micro Theory Working Papers shneyerov-04-12-17-02-54-, Microeconomics.ca Website, revised 17 Dec 2004. [Downloadable!]
    Other versions:
  10. Shneyerov, Art & Wong, Adam Chi Leung, 2007. "The Rate of Convergence to Perfect Competition of a Simple Matching and Bargaining Mechanism," Micro Theory Working Papers shneyerov-07-05-01-03-43-, Microeconomics.ca Website, revised 01 May 2007. [Downloadable!]
  11. Artyom Shneyerov & Adam Chi Leung Won, 2008. "The Rate of Convergence to Perfect Competition of Matching and Bargaining Mechanisms," Discussion Papers 1467, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  12. Piero Gottardi & Roberto Serrano, 2004. "Market Power and Information Revelation in Dynamic Trading," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
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