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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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  • 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.
  • Handle: RePEc:nwu:cmsems:914
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    1. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
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    Cited by:

    1. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-1063, September.
    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.
    4. Joel I. Singer, 2002. "Double Auctions Across a Constrained Transmission Line," Operations Research, INFORMS, vol. 50(3), pages 449-461, June.

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