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Many-Body Theory for Multi-Agent Complex Systems

Neil F. Johnson·David M. D. Smith·Pak Ming Hui
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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.

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Neil F. Johnson, David M. D. Smith, Pak Ming Hui. 2005-01-10. Many-Body Theory for Multi-Agent Complex Systems. https://arxiv.org/abs/cond-mat/0501186

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