Econometrica: Nov, 2012, Volume 80, Issue 6
Information Aggregation in Dynamic Markets With Strategic Traders
https://doi.org/10.3982/ECTA8479
p. 2595-2647
Michael Ostrovsky
This paper studies information aggregation in dynamic markets with a finite number of partially informed strategic traders. It shows that, for a broad class of securities, information in such markets always gets aggregated. Trading takes place in a bounded time interval, and in every equilibrium, as time approaches the end of the interval, the market price of a āseparableā security converges in probability to its expected value conditional on the traders' pooled information. If the security is ānonāseparable,ā then there exists a common prior over the states of the world and an equilibrium such that information does not get aggregated. The class of separable securities includes, among others, ArrowāDebreu securities, whose value is 1 in one state of the world and 0 in all others, and āadditiveā securities, whose value can be interpreted as the sum of traders' signals.
Supplemental Material
Supplement to "Information Aggregation in Dynamic Markets with Strategic Traders"
This appendix contains the proof of Theorem 6.
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