Convergence to Efficiency in a Simple Market with Incomplete Information
An independent private values model of trade with m buyers and m sellers is considered in which a double auction sets price to equate revealed demand and supply. In a symmetric Bayesian Nash equilibrium, each trader acts not as a price-taker, but instead strategically misrepresents his true demand/supply to influence price in his favor. This causes inefficiency. We show that the amount by which a trader misreports is 0(1/m) and the corresponding inefficiency is 0(1/m^2). By comparison, inefficiency is 0(1/m) for a dual price mechanism and 0(1/m^1/2) for a fixed price mechanism. Price-taking behavior and its associated efficiency thus quickly emerge in the double auction despite the asymmetric information and the noncooperative behavior of traders.
|Date of creation:||May 1992|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.kellogg.northwestern.edu/research/math/
More information through EDIRC
|Order Information:|| Email: |
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.:
- Bengt Holmstrom & Roger B. Myerson, 1981.
"Efficient and Durable Decision Rules with Incomplete Information,"
495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
- McAfee, R. Preston., 1990.
"A Dominant Strategy Double Auction,"
734, California Institute of Technology, Division of the Humanities and Social Sciences.
- repec:bla:restud:v:56:y:1989:i:4:p:477-98 is not listed on IDEAS
- Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
- Harsanyi, John C., 1994.
"Games with Incomplete Information,"
Nobel Prize in Economics documents
1994-1, Nobel Prize Committee.
- 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.
- 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.
- McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
When requesting a correction, please mention this item's handle: RePEc:nwu:cmsems:995. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fran Walker)
If references are entirely missing, you can add them using this form.