Correlated adaptation of agents in a simple market: a statistical physics perspective

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By this author: J.P. Garrahan ;&nbsp; E. Moro ;&nbsp; D. Sherrington

Authors: J.P. Garrahan; E. Moro; D. Sherrington

Source: Quantitative Finance, Volume 1, Number 2, February 01, 2001 , pp. 246-253(8)

Publisher: Routledge, part of the Taylor & Francis Group

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Abstract:

We discuss recent work in the study of a simple model for the collective behaviour of diverse speculative agents in an idealized stockmarket, considered from the perspective of the statistical physics of many-body systems. The only information about other agents available to any one is the total trade at time steps. Evidence is presented for correlated adaptation and phase transitions/crossovers in the global volatility of the system as a function of appropriate information scaling dimension. Stochastically controlled irrationality of individual agents is shown to be globally advantageous. We describe the derivation of the underlying effective stochastic differential equations which govern the dynamics, and make an interpretation of the results from the point of view of the statistical physics of disordered systems.

Document Type: Miscellaneous

Publication date: 2001-02-01