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arxiv: cond-mat/0105224 · v2 · submitted 2001-05-10 · ❄️ cond-mat.stat-mech

Expectation bubbles in a spin model of markets: Intermittency from frustration across scales

classification ❄️ cond-mat.stat-mech
keywords dynamicsspinmodelacrossbubblescouplingexpectationfrustration
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A simple spin model is studied, motivated by the dynamics of traders in a market where expectation bubbles and crashes occur. The dynamics is governed by interactions which are frustrated across different scales: While ferromagnetic couplings connect each spin to its local neighborhood, an additional coupling relates each spin to the global magnetization. This new coupling is allowed to be anti-ferromagnetic. The resulting frustration causes a metastable dynamics with intermittency and phases of chaotic dynamics. The model reproduces main observations of real economic markets as power-law distributed returns and clustered volatility.

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