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Effect of imitation in evolutionary minority game on small-world networks

Author

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  • Chen, Jiale
  • Quan, Hongjun

Abstract

The system performance in an evolutionary minority game with imitation on small-world networks is studied. Numerical results show that system performance positively correlates with the clustering coefficients. The domain structure of the agents’ strategies can be used to give a qualitative explanation for it. We also find that the time series of the reduced variance σ2/N could have a phasic evolution from a metastable state (two crowds are formed but the distribution of their probabilities does not peak at p≈0 and p≈1) to a steadystate (the two crowds evolve into a crowd and an anticrowd with the distribution of their probabilities peaking at p≈0 and p≈1).

Suggested Citation

  • Chen, Jiale & Quan, Hongjun, 2009. "Effect of imitation in evolutionary minority game on small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 945-952.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:6:p:945-952
    DOI: 10.1016/j.physa.2008.11.039
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    Cited by:

    1. Zhao, Jinqiu & Luo, Chao, 2019. "The effect of preferential teaching and memory on cooperation clusters in interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    2. Xin-Jie Zhang & Yong Tang & Jason Xiong & Wei-Jia Wang & Yi-Cheng Zhang, 2018. "Dynamics of Cooperation in Minority Games in Alliance Networks," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
    3. Park, Daehyeon & Ryu, Doojin & Webb, Robert I., 2024. "Fear of missing out and market stability: A networked minority game approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).

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