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Information in Securities Markets: Kyle Meets Glosten and Milgrom

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  • Kerry Back
  • Shmuel Baruch

Abstract

This paper analyzes models of securities markets with a single strategic informed trader and competitive market makers. In one version, uninformed trades arrive as a Brownian motion and market makers see only the order imbalance, as in Kyle (1985). In the other version, uninformed trades arrive as a Poisson process and market makers see individual trades. This is similar to the Glosten-Milgrom (1985) model, except that we allow the informed trader to optimize his times of trading. We show there is an equilibrium in the Glosten-Milgrom-type model in which the informed trader plays a mixed strategy (a point process with stochastic intensity). In this equilibrium, informed and uninformed trades arrive probabilistically, as Glosten and Milgrom assume. We study a sequence of such markets in which uninformed trades become smaller and arrive more frequently, approximating a Brownian motion. We show that the equilibria of the Glosten-Milgrom model converge to the equilibrium of the Kyle model. Copyright The Econometric Society 2004.

Suggested Citation

  • Kerry Back & Shmuel Baruch, 2004. "Information in Securities Markets: Kyle Meets Glosten and Milgrom," Econometrica, Econometric Society, vol. 72(2), pages 433-465, March.
  • Handle: RePEc:ecm:emetrp:v:72:y:2004:i:2:p:433-465
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    File URL: http://hdl.handle.net/10.1111/j.1468-0262.2004.00497.x
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