Economy – Quantitative Finance – General Finance
Scientific paper
2007-12-28
Physica A 388 (2009) 4126-4144
Economy
Quantitative Finance
General Finance
26 pages, 3 figures. v2: minor alterations, to appear in Physica A (http://www.elsevier.com/wps/find/journaldescription.cws_ho
Scientific paper
10.1016/j.physa.2009.06.025
We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and individually heterogeneous fundamentalist trading decisions which take into account the market price and the perceived fundamental value of the asset. The resulting excess demand is coupled to the market price. Rigorous analysis reveals that this feedback may lead to price oscillations, a single bounce, or monotonic price behaviour. The model is a rare example of an analytically tractable interacting-agent model which allows us to deduce in detail the origin of these different collective patterns. For a natural choice of initial distribution the results are independent of the graph structure that models the peer network of agents whose decisions influence each other.
Almeida Prado Fernando Pigeard de
Belitsky Vladimir
Harris Rosemary J.
Schütz Gunter M.
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