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An agent behavior based model for diffusion price processes with\n application to phase transition and oscillations

2016/06/27 by Christof Henkel, Henkel, Christof
Economics, Econometrics and Finance · Computer Science · Medicine · #Complex Systems and Time Series Analysis #Nonlinear Dynamics and Pattern Formation #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1606.08269

Abstract

We present an agent behavior based microscopic model for diffusion price\nprocesses. As such we provide a model not only containing a convenient\nframework for describing socio-economic behavior, but also a sophisticated link\nto price dynamics. We furthermore establish the circumstances under which the\ndynamics converge to diffusion processes in the large market limit. To\ndemonstrate the applicability of a separation of behavior and price process, we\nshow how herding behavior of market participants can lead to equilibria\ntransition and oscillations in diffusion price processes.\n

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