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arXiv 1607.01248q-fin.GN
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股票市场的演化模型

Evolutionary Model of Stock Markets

Joachim Kaldasch

摘要:

本文提出了一个股票价格演化的演化经济模型。将股票市场视为一个由快速购买过程和缓慢变化的需求和供给所支配的自组织系统,该模型表明,短期价格分布具有逻辑斯蒂(拉普拉斯)分布的形式。长期收益率可以用拉普拉斯-高斯混合分布来描述。长期平均价格的演变是由海象方程,它可以转化为一个复制方程。这允许量化股票之间的进化价格竞争。该理论表明,股票价格按所有股票的价格进行缩放,可以用来研究费雪-普雷图中的长期趋势。从模型的价格竞争,说明了通过检查两个股票的经验长期价格趋势。

英文摘要:

The paper presents an evolutionary economic model for the price evolution of stocks. Treating a stock market as a self-organized system governed by a fast purchase process and slow variations of demand and supply the model suggests that the short term price distribution has the form a logistic (Laplace) distribution. The long term return can be described by Laplace-Gaussian mixture distributions. The long term mean price evolution is governed by a Walrus equation, which can be transformed into a replicator equation. This allows quantifying the evolutionary price competition between stocks. The theory suggests that stock prices scaled by the price over all stocks can be used to investigate long-term trends in a Fisher-Pry plot. The price competition that follows from the model is illustrated by examining the empirical long-term price trends of two stocks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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