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The evolution of cooperation in multi-games with popularity-driven fitness calculation

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  • Deng, Zheng-Hong
  • Wang, Zi-Ren
  • Wang, Huan-Bo
  • Xu, Lin

Abstract

Popularity-driven fitness updating rule has been confirmed to be an effective mechanism to understand the evolution of cooperation in prisoner's dilemma game (PD). Inspired by this, we explore cooperation behavior in pure dilemma and multigames with popularity-driven updating rule. And we obtain the popularity by calculating player's fitness via parameter α. Numerous simulations show that different update rules in pure PD or snowdrift (SD) dilemma perform different on promoting cooperative behavior under S, T-values by comparing with mean field results and then comparing the spatial results of various updates. While in multigames, we observe that positive α can lead cooperators grow and thrive as the proportion of SD increases. On the other hand, negative α also can enhance cooperation, but hardly dominate in the population. Meanwhile, compared with zero α (traditional version), it has a stronger impact on cooperation when SD proportion is small. As the frequency of SD increases, the situation reversed.

Suggested Citation

  • Deng, Zheng-Hong & Wang, Zi-Ren & Wang, Huan-Bo & Xu, Lin, 2021. "The evolution of cooperation in multi-games with popularity-driven fitness calculation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006524
    DOI: 10.1016/j.chaos.2021.111298
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    1. Lu, Shounan & Zhu, Ge & Dai, Jianhua, 2023. "Promoting effect of adaptive interaction based on random neighbors to cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    2. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    3. Wang, Zi-Ren & Deng, Zheng-Hong & Wang, Huan-Bo & Li, HuXiong & X, Fei-Wang, 2022. "Uneven Resources network promotes cooperation in the prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    4. Chen, Jialin & Liu, Xingwen & Wang, Huazhang & Yang, Jun, 2022. "The disconnection-reconnection-elite mechanism enhances cooperation of evolutionary game on lattice," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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