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Convergence to Price-Taking Behavior in a Simple Market

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  • Aldo Rustichini

Abstract

An independent private values model of trade with m buyers and m sellers is considered in which price is chosen to equate revealed demand and supply. In ever symmetric Bayesian Nash equilibrium, each trader does not act as a price-taker, but instead strategically misrepresents his true demand/supply to influence price in his favor. This misrepresentation causes inefficiency. It is shown that the amount by which a trader misreports is 0(1/m) and the corresponding influence is 0(1/m^2). Price-taking behavior and its associated efficiency thus quickly emerges despite the asymmetric information and the noncooperative behavior of traders.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 914.

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Date of creation: Dec 1990
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Handle: RePEc:nwu:cmsems:914

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  1. Roberts, Donald John & Postlewaite, Andrew, 1976. "The Incentives for Price-Taking Behavior in Large Exchange Economies," Econometrica, Econometric Society, vol. 44(1), pages 115-27, January.
  2. Bengt Holmstrom & Roger B. Myerson, 1981. "Efficient and Durable Decision Rules with Incomplete Information," Discussion Papers 495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Satterthwaite, Mark A & Williams, Steven R, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 477-98, October.
  4. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
  6. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
  7. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
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Cited by:
  1. 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.
  2. 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.
  3. Herrmann, John D. & Kahn, Peter J., 1999. "A continuity property for local price adjustment mechanisms," Journal of Mathematical Economics, Elsevier, vol. 31(4), pages 419-453, May.

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