Europhys. Lett.
Volume 74, Number 5, June 2006
Page(s) 923 - 929
Section Interdisciplinary physics and related areas of science and technology
Published online 05 May 2006
Europhys. Lett., 74 (5), pp. 923-929 (2006)
DOI: 10.1209/epl/i2005-10588-9

Multi-agent complex systems and many-body physics

N. F. Johnson1, D. M. D. Smith2 and P. M. Hui3

1  Physics Department, Oxford University - Oxford, OX1 3PU, UK
2  Mathematics Department, Oxford University - Oxford, OX1 2EL, UK
3  Department of Physics, Chinese University of Hong Kong - Hong Kong

received 20 June 2005; accepted in final form 10 April 2006
published online 5 May 2006

Multi-agent complex systems comprising populations of decision-making particles, have many potential applications across the biological, informational and social sciences. We show that the time-averaged dynamics in such systems bear a striking resemblance to conventional many-body physics. For the specific example of the Minority Game, this analogy enables us to obtain analytic expressions which are in excellent agreement with numerical simulations.

87.23.Ge - Dynamics of social systems.
73.21.-b - Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems.
87.23.-n - Ecology and evolution.

© EDP Sciences 2006