A mesoscopic stock market model with hysteretic agents

Grinfeld, Michael and Lamba, Harbir and Cross, Rodney (2013) A mesoscopic stock market model with hysteretic agents. Discrete and Continuous Dynamical Systems - Series B, 18 (2). 403–415. ISSN 1531-3492

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Abstract

Following the approach of [22], we derive a system of Fokker-Planck equations to model a stock-market in which hysteretic agents can take long and short positions. We show numerically that the resulting mesoscopic model has rich behaviour, being hysteretic at the mesoscale and displaying bubbles and volatility clustering in particular.