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Trading Model with Pair Pattern Strategies

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  • F. Ren
  • Y. -C. Zhang

Abstract

A simple trading model based on pair pattern strategy space with holding periods is proposed. Power-law behaviors are observed for the return variance $\sigma^2$, 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 $ $. 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.

Suggested Citation

  • F. Ren & Y. -C. Zhang, 2008. "Trading Model with Pair Pattern Strategies," Papers 0801.3560, arXiv.org.
    • Handle: RePEc:arx:papers:0801.3560
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    References listed on IDEAS

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    1. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
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    Cited by:

    1. Zhong, Li-Xin & Xu, Wen-Juan & Ren, Fei & Shi, Yong-Dong, 2013. "Coupled effects of market impact and asymmetric sensitivity in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2139-2149.
    2. Wen-Juan Xu & Chen-Yang Zhong & Fei Ren & Tian Qiu & Rong-Da Chen & Yun-Xin He & Li-Xin Zhong, 2020. "Evolutionary dynamics in financial markets with heterogeneities in strategies and risk tolerance," Papers 2010.08962, arXiv.org.
    3. Li-Xin Zhong & Wen-Juan Xu & Ping Huang & Chen-Yang Zhong & Tian Qiu, 2013. "Self-organization and phase transition in financial markets with multiple choices," Papers 1312.0690, arXiv.org, revised Jun 2014.
    4. Li-Xin Zhong & Wen-Juan Xu & Fei Ren & Yong-Dong Shi, 2012. "Coupled effects of market impact and asymmetric sensitivity in financial markets," Papers 1209.3399, arXiv.org, revised Jan 2013.

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