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Market Efficiency and Learning in an Endogenously Unstable Environment

  • David Goldbaum

    ()

A least-squares model governs the learning process as traders attempt to extract private information from the market price of an asset. Replicator dynamics govern the evolution of the popularity of this strategy against the alternative, directly acquiring the private information through research. The lack of a fixed point to the dual dynamics embodies the Grossman and Stiglitz (1980) impossibility of informationally efficient markets. The asymptotic behavior of the system has the model switching between price stability and instability, endogenously generating noise in the price. The asymptotic behavior is the same when all traders access and employ both fundamental and market information.

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File URL: http://www.rutgers-newark.rutgers.edu/econnwk/workingpapers/2004-002.pdf
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Paper provided by Department of Economics, Rutgers University, Newark in its series Working Papers Rutgers University, Newark with number 2004-002.

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Date of creation: Feb 2004
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Handle: RePEc:run:wpaper:2004-002
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  1. Ed Hopkins, 2004. "Two Competing Models of How People Learn in Games," ESE Discussion Papers 51, Edinburgh School of Economics, University of Edinburgh.
  2. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
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  4. Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
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  8. Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August.
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  10. Cheung, Yin-Wong & Friedman, Daniel, 1998. "A comparison of learning and replicator dynamics using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 35(3), pages 263-280, April.
  11. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
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  15. Branch, William A. & McGough, Bruce, 2008. "Replicator dynamics in a Cobweb model with rationally heterogeneous expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 65(2), pages 224-244, February.
  16. repec:att:wimass:9621 is not listed on IDEAS
  17. Sethi, Rajiv & Franke, Reiner, 1995. "Behavioural Heterogeneity under Evolutionary Pressure: Macroeconomic Implications of Costly Optimisation," Economic Journal, Royal Economic Society, vol. 105(430), pages 583-600, May.
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