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分析一个具有基础价值均衡、非基础价值均衡、周期和混沌等四种市场波动形态的随机多主体股市模型,利用理论分析和数值实验的方法研究交易者模仿学习、价格追踪和策略转移三种行为倾向对股市场波动形态的影响,得出结论:当三类行为倾向都很小时,股市处于基础价值均衡形态;随着价格追踪和模仿学习倾向逐渐增大,股市进入周期形态;当模仿学习倾向足够大时,系统处于非基础价值均衡形态;混沌形态出现在周期和非基础价值均衡形态中间很窄的参数范围.
This paper analyzes a stochastic multi-agent stock market model with four kinds of market volatility such as basic value equilibrium, non-basic value equilibrium, periodicity and chaos. By using theoretical analysis and numerical experiments, this paper studies the trader imitation learning, price tracking and strategy transfer The trend of stock market volatility morphology, concluded that: when the three types of behavioral tendencies are small, the stock market is in a balanced form of basic value; with the price tracking and imitation learning tendency gradually increased, the stock market into the cyclical form; imitation learning tendency When large enough, the system is in a non-basic value equilibrium form; the chaotic form appears in a very narrow parameter range between periodic and non-basic value equilibrium forms.