Phase Transition and Symmetry Breaking in the Minority Game
Damien Challet, Matteo Marsili
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.
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