Complex ’ 2009 Shanghai, China Dynamic Regimes of a Multi-agent Stock Market Model Tongkui (Kevin)...
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Complex ’ 2009 Shanghai, China Dynamic Regimes of a Multi-agent Stock Market Model Tongkui (Kevin) Yu, Honggang Li Department of Systems Science, School
Complex 2009 Shanghai, China Dynamic Regimes of a Multi-agent
Stock Market Model Tongkui (Kevin) Yu, Honggang Li Department of
Systems Science, School of Management, BNU
Slide 2
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic Regime
Source: www.sohu.com
Slide 3
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic Regime
Source: www.sohu.com
Slide 4
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Motivation Aim:
(1)to find an underlying mechanism producing various dynamic
regimes; (2) to investigate the factors (traders propensities)
determining the market in which regime. Various regimes Similar
trading rules Similar traders
Slide 5
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Related works
Many models have been built to replicate different dynamic regimes:
Chiarella, C. (1992,2001,2004) Lux, T. (1995,1998,1999) Brock, W.
A., Hommes, C. H. (1997, 2001)
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Bottom-up
modeling Consider the behavioral pattern of traders (agents) and
model it as the switch probability among different groups Derive a
dynamical system to approximate the market evolution So, the
dynamical system has parameters for traders propensities
Slide 7
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Our work
Follows Lux s bottom up approach. Builds a multi-agent model with
four kinds of dynamic regimes (fundamental equilibrium,
non-fundamental equilibrium, periodicity and chaos). Concentrates
on analyzing the effect of traders propensities (mimetic
propensity, price-chasing propensity and strategy- switching
propensity) on market dynamic regimes.
Slide 8
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Outline:
Slide 9
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Multi-agent
Stock Market Model Market components (chartists) (fundamentalists)
(optimistic chartists) (pessimistic chartists)
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Multi-agent
Stock Market Model Traders behavior Modeled as the switch
probability among different groups
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Model Switch
probability between n + and n : market sentiment index : mimetic
propensity : price-chasing propensity
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Model Switch
probability between n c and n f : strategy-switching
propensity
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Model Price
formation
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Multi-agent
Stock Market Model Procedure:
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Outline:
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Stock Market
Dynamical System Where: market sentiment index market rationality
index p : market price
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Outline:
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
Fundamental equilibrium
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
Symmetric non-fundamental equilibrium
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
- Periodicity
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
- Chaos
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Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
an overview with bifurcation diagram
Slide 23
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Dynamic regimes
an overview with phase diagram
Slide 24
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Conclusion
Present an underlying mechanism that gives reasonable explanations
to four kinds of market regimes. Traders' behavioral propensities
play an important role in determining market dynamic regimes.
Slide 25
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Further
research Exact parameter ranges within which different solutions
occur. Parameter calibration to make the model precise enough to
describe the dynamics of a real market Slow parameters and fast
parameters
Slide 26
Complex 2009 Tongkui (Kevin) Yu and Honggang Li Thanks for
patience Suggestions welcome!