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arxiv: 1103.5345 · v1 · pith:WRAZESTCnew · submitted 2011-03-28 · 💱 q-fin.PR · cond-mat.stat-mech· physics.soc-ph

Spin models as microfoundation of macroscopic financial market models

classification 💱 q-fin.PR cond-mat.stat-mechphysics.soc-ph
keywords modelsmacroscopicmarketmicroscopicmodelagentbetterprice
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Macroscopic price evolution models are commonly used for investment strategies. There are first promising achievements in defining microscopic agent based models for the same purpose. Microscopic models allow a deeper understanding of mechanisms in the market than the purely phenomenological macroscopic models, and thus bear the chance for better models for market regulation. We exemplify this strategy in a case study, deducing a macroscopic Langevin equation from a microscopic spin market model closely related to the Ising model. The interplay of the microscopic and the macroscopic view allows for a better understanding of the microscopic model, as well, and may guide the construction of agent based market models as basis of macroscopic price models.

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