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Ability-based asymmetrical fitness calculation promotes cooperation in spatial prisoner's dilemma game

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  • Li, Xiaoyu
  • Jia, Danyang
  • Niu, Xiaotong
  • Liu, Chen
  • Zhu, Peican
  • Liu, Dujuan
  • Chu, Chen

Abstract

We investigate the ability-based fitness calculation in an asymmetric setup to the evolution of cooperation on square lattice. In particular, if players can maintain its strategy for a round, then its abilities will increase 1, otherwise, its ability will turn to 0. We also assume that if players’ abilities exceed a certain threshold M, then its environment is integrated into its fitness calculation via a simple parameter α. Through extensive numerical simulation, we find that large threshold M decreases cooperation, and large α, players’ fitness is mainly decided by its dynamical environment, promotes cooperation. We also provide theoretical analysis and get the same results with simulation. Finally, we test its robustness on homogeneous random network and small-world network. Our work provides a deeper insight to network reciprocity.

Suggested Citation

  • Li, Xiaoyu & Jia, Danyang & Niu, Xiaotong & Liu, Chen & Zhu, Peican & Liu, Dujuan & Chu, Chen, 2022. "Ability-based asymmetrical fitness calculation promotes cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    • Handle: RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006561
    DOI: 10.1016/j.amc.2021.126572
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    Cited by:

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    2. Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    3. Gu, Cuiling & Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Liu, Yang, 2022. "Evolutionary dynamics of multi-player snowdrift games based on the Wright-Fisher process," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    5. Li, Dandan & Sun, Xiaoxiao & He, Youxin & Han, Dun, 2022. "On prisoner’s dilemma game with psychological bias and memory learning," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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