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The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large

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Author Info
Satterthwaite, Mark A
Williams, Steven R
Abstract

A trader who privately knows his preferences may misrepresent them in order to influence the market price. This strategic behavior may prevent realization of all gains from trade. In this paper, trade in a simple market with an explicit rule for price formation is modeled as a Bayesian game. The authors show that the difference between a trader's bid and his reservation value is maximally O(1/m) where m is the number of traders on each side of the market. Competitive pressure as m increases, thus, quickly overcomes the inefficiency private information causes and forces the market towards an efficient allocation. Copyright 1989 by The Review of Economic Studies Limited.

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 56 (1989)
Issue (Month): 4 (October)
Pages: 477-98
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Handle: RePEc:bla:restud:v:56:y:1989:i:4:p:477-98

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  1. Eric Maskin, 2004. "The Unity of Auction Theory: Paul Milgrom's Masterclass," Economics Working Papers 0044, Institute for Advanced Study, School of Social Science. [Downloadable!]
  2. 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:
  3. Nielsen, Kurt, 2005. "Auctioning Payment Entitlements," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24566, European Association of Agricultural Economists. [Downloadable!]
  4. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales. [Downloadable!]
  5. Mark Satterthwaite & Artyom Shneyerov, 2003. "Convergence of a Dynamic Matching and Bargaining Market with Two-sided Incomplete Information to Perfect Competition," Discussion Papers 1384, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  6. Aldo Rustichini, 1990. "Convergence to Price-Taking Behavior in a Simple Market," Discussion Papers 914, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  7. 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:
  8. Art Shneyerov, 2006. "Dynamic Matching with Two-sided Incomplete Information and Participation Costs," Theory workshop papers 815595000000000009, UCLA Department of Economics. [Downloadable!]
  9. Ohad Kadan, 2004. "Equilibrium in the Two Player, k-Double Auction with Affiliate Private Values," Working Papers 2004.12, Fondazione Eni Enrico Mattei. [Downloadable!]
  10. Giuseppe, DE FEO & Jean, HINDRIKS, 2005. "Efficiency of Competition in Insurance Markets with Adverse Selection," Discussion Papers (ECON - Département des Sciences Economiques) 2005042, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
    Other versions:
  11. 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!]
  12. repec:att:wimass:1920111 is not listed on IDEAS
  13. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics. [Downloadable!]
  14. Mark A. Satterthwaite & Steven R. Williams, 1991. "The Double Auction Market: Institutions," Discussion Papers 971, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  15. Glenn Ellison & Drew Fudenberg & Markus Mobius, 2003. "Competing Auctions," Levine's Bibliography 506439000000000092, UCLA Department of Economics. [Downloadable!]
    Other versions:
  16. Timothy Cason & Daniel Friedman, 1999. "Learning in a Laboratory Market with Random Supply and Demand," Experimental Economics, Springer, vol. 2(1), pages 77-98, August. [Downloadable!] (restricted)
  17. Ángel Hernando Veciana, 2001. "Competition Among Auctioneers," Working Papers. Serie AD 2001-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  18. Tunay I. Tunca, 2004. "Information Precision and Asymptotic Efficiency of Industrial Markets," Working Papers 04-11, NET Institute, revised Oct 2004. [Downloadable!]
  19. Abhinay Muthoo & Suresh Mutuswami, 2005. "Competition and Efficiency in Markets with Quality Uncertainty," Economics Discussion Papers 593, University of Essex, Department of Economics. [Downloadable!]
  20. Aldo Rustichini, 1992. "Convergence to Efficiency in a Simple Market with Incomplete Information," Discussion Papers 995, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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