The Evolution Dynamic and Long-Run Equilibrium in a Stock Market with Heterogeneous Traders

  • Pengju ZhaoEmail author
  • Wei Zhang
  • Yumin Liu


This paper uses ideas from biological evolution to analyze the evolution of the securities market in which rational and irrational traders coexist. A market evolutionary model is developed to describe the dynamic trajectories of rational and irrational traders’ wealth. The main question is, are irrational traders eliminated as the securities market evolves. The paper considers the impact of new entrants on the security market long-term equilibrium. In addition, it discusses the existence and uniqueness of the long-term equilibrium The paper finds that, under some market conditions, irrational traders could survive in the long run.


Behavioral Finance irrational traders financial evolution theory random dynamic system 


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We gratefully acknowledge editors of Journal of Systems Scienence and Systems Engineering, and two anonymous referees for their valuable comments and suggestions. This paper is supported by the National Natural Science Foundation of China under Grant No. 71790594 and Programfor interdisciplinary direction team in Zhongyuan University of Technology, China.


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Copyright information

© Systems Engineering Society of China and Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  1. 1.College of Management and EconomicsTianjin UniversityTianjinChina
  2. 2.System and Industrial Engineering Research Center of Zhongyuan University of TechnologyZhengzhouChina
  3. 3.Business SchoolZhengzhou universityZhengzhouChina

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