English

Many-Body Theory for Multi-Agent Complex Systems

Other Condensed Matter 2007-05-23 v1

Abstract

Multi-agent complex systems comprising populations of decision-making particles, have wide application across the biological, informational and social sciences. We uncover a formal analogy between these systems' time-averaged dynamics and conventional many-body theory in Physics. Their behavior is dominated by the formation of 'Crowd-Anticrowd' quasiparticles. For the specific example of the Minority Game, our formalism yields analytic expressions which are in excellent agreement with numerical simulations.

Keywords

Cite

@article{arxiv.cond-mat/0501186,
  title  = {Many-Body Theory for Multi-Agent Complex Systems},
  author = {Neil F. Johnson and David M. D. Smith and Pak Ming Hui},
  journal= {arXiv preprint arXiv:cond-mat/0501186},
  year   = {2007}
}