The Impact of Network Degree Correlation on Parrondo’s Paradox

  • Ye Ye
  • Xiao-Rong Hang
  • Lin Liu
  • Lu Wang
  • Neng-gang XieEmail author
Conference paper
Part of the Studies in Computational Intelligence book series (SCI, volume 881)


A multi-agent Parrondo’s model based on complex networks is studied to analyze the influence of network degree correlation on Parrondo’s paradox. The model includes a zero-sum Game A, representing cooperation and competition behaviors between agents, and a two-branch Game B, representing the capital of a node and all of its neighbors. Then the parameter space of Parrondo’s paradox pertaining to cooperation and competition behavioral patterns, and the gradual change of the parameter space from an assortative random network to a disassortative random network is analyzed. The simulation results suggest that the size of the region of the parameter space that elicits Parrondo’s paradox is negatively correlated with the degree correlation of the network. For two distinct sets of probability parameters, the microcosmic reasons underlying the occurrence and non-occurrence of the paradox under the disassortative and assortative random network are elaborated, respectively. Common interaction mechanisms of the behavioral patterns, the asymmetric structure of Game B, and network topology are also revealed.


Degree correlation A multi-agent parrondo’s model Complex networks Behavioral patterns 



This project was supported by the National Natural Science Foundation of China (Grant No. 11705002); Ministry of Education, Humanities and Social Sciences research projects (15YJCZH210; 19YJAZH098; 18YJCZH102).


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ye Ye
    • 1
  • Xiao-Rong Hang
    • 2
  • Lin Liu
    • 2
  • Lu Wang
    • 1
  • Neng-gang Xie
    • 2
    Email author
  1. 1.School of Mechanical EngineeringAnhui University of TechnologyMa’anshanChina
  2. 2.School of Management Science and EngineeringAnhui University of TechnologyMa’anshanChina

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