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证券投资者的进化博弈模型建立及渐进均衡研究
引用本文:张莉,万强.证券投资者的进化博弈模型建立及渐进均衡研究[J].数学的实践与认识,2014(6).
作者姓名:张莉  万强
作者单位:北京工业职业技术学院基础部;宏源证券股份有限公司固定收益总部;
摘    要:运用进化博弈相关理论,以我国证券市场中的理性和非理性投资者为局中人建立进化博弈单群体模型,并求解此单群体模型的渐进稳定均衡策略,得到理性与非理性投资者的渐进稳定均衡比例,得出理性交易策略与噪声交易策略应同时存在而且适度的噪声有利于保持市场的流动性的结论,为我国证券市场和政府监管者提出政策性建议.

关 键 词:进化博弈  Nash均衡  证券投资者  噪声理论

The Establishment of the Evolutionary Game Model with Security Investors and the Dynamic Equilibrium Studies
Abstract:The article will apply the the evolutionary game theory and build the singlepopulation model with the rational and irrational investors in our security market being the players.Pursuiting the asymptotically stable strategy of the model,we obtain the asymptotically stable ratio of the rational and irrational investors and acquire the conclusion that the rational and irrational strategies should be compatible and the moderate noise is beneficial for the flowability of the market,by which we can give suggestions about policy to the market and government.
Keywords:evolutionary game theory  nash equilibrium  security investors  noise theory
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