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Evolutionary minority game on complex networks

Author

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  • Shang, Lihui
  • Wang, Xiao Fan

Abstract

In this work we investigate the dynamics of networked evolutionary minority game (NEMG) wherein each agent is allowed to evolve its strategy according to the information obtained from its neighbors in the network. We investigate four kinds of networks, including star network, regular network, random network and scale-free network. Simulation results indicate that the dynamics of the system depends crucially on the structure of the underlying network. The strategy distribution in a star network is sensitive to the precise value of the mutation magnitude L, in contrast to the strategy distribution in regular, random and scale-free networks, which is easily affected by the value of the prize-to-fine ratio R. Under a simple evolutionary scheme, the networked system with suitable parameters evolves to a high level of global coordination among its agents. In particular, the performance of the system is correlated to the clustering property of the network, where larger clustering coefficient leads to better performance.

Suggested Citation

  • Shang, Lihui & Wang, Xiao Fan, 2007. "Evolutionary minority game on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 616-624.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:2:p:616-624
    DOI: 10.1016/j.physa.2006.11.080
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    Citations

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    Cited by:

    1. Shu-Heng Chen & Umberto Gostoli, 2017. "Coordination in the El Farol Bar problem: The role of social preferences and social networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 12(1), pages 59-93, April.
    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. Zhang, Wei & Sun, Yuxin & Feng, Xu & Xiong, Xiong, 2015. "Evolutionary Minority Game with searching behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 694-706.
    4. Zhang, Xin-Jie & Tang, Yong & Xiong, Jason & Wang, Wei-Jia & Zhang, Yi-Cheng, 2020. "Ranking game on networks: The evolution of hierarchical society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    5. Bryce Morsky & Fuwei Zhuang & Zuojun Zhou, 2023. "Social and individual learning in the Minority Game," Papers 2307.11846, arXiv.org, revised Mar 2024.

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