Phase Transition and Symmetry Breaking in the Minority Game

Details Phase Transition and Symmetry Breaking in the Minority Game Phase Transition and Symmetry Breaking in the Minority Game

1999-04-06

arxiv.org/abs/cond-mat/9904071v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures, submitted to PRE/Rapid Communications Major revision of the text

Scientific paper

10.1103/PhysRevE.60.R6271

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.

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