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arXiv 0801.3560q-fin.PMphysics.soc-ph
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配对交易模型

Trading Model with Pair Pattern Strategies

F. Ren, Y. -C. Zhang

摘要:

提出了一个基于对模式策略空间的简单交易模型。幂律行为观察到的回报方差$σ^2$,价格影响$H$和可预测性$K$的线性和平方根的影响功能的两个模型。在具有平方根价格冲击函数的模型中,交易者的财富之和为正值,并基于条件超额需求$<A|u>$的观察给出了定性解释。进一步提出了一个进化交易模型,淘汰机制有效地改变了在没有进化的模型中表现出色的交易者的行为。与其他类型交易者的交易模式,例如,贸易商与MG的战略和生产者,也仔细研究。

英文摘要:

A simple trading model based on pair pattern strategy space with holding periods is proposed. Power-law behaviors are observed for the return variance $σ^2$, the price impact $H$ and the predictability $K$ for both models with linear and square root impact functions. The sum of the traders' wealth displays a positive value for the model with square root price impact function, and a qualitative explanation is given based on the observation of the conditional excess demand $<A|u>$. An evolutionary trading model is further proposed, and the elimination mechanism effectively changes the behavior of the traders highly performed in the model without evolution. The trading model with other types of traders, e.g., traders with the MG's strategies and producers, are also carefully studied.

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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