Phase Transition and Symmetry Breaking in the Minority Game

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.

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

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