Phase Transition and Symmetry Breaking in the Minority Game
Statistical Mechanics
2009-10-31 v2 adap-org
Disordered Systems and Neural Networks
Adaptation and Self-Organizing Systems
Abstract
We show that the Minority Game, a model of interacting heterogeneous agents, can be described as a spin systems and it displays a phase transition between a symmetric phase and a symmetry broken phase where the games outcome is predicable. As a result a ``spontaneous magnetization'' arises in the spin formalism.
Keywords
Cite
@article{arxiv.cond-mat/9904071,
title = {Phase Transition and Symmetry Breaking in the Minority Game},
author = {Damien Challet and Matteo Marsili},
journal= {arXiv preprint arXiv:cond-mat/9904071},
year = {2009}
}
Comments
4 pages, 2 figures, submitted to PRE/Rapid Communications Major revision of the text