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Adaptive and probabilistic strategy evolution in dynamical networks

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  • Yang, Guoli
  • Zhu, Cheng
  • Zhang, Weiming

Abstract

In the evolution of cooperation, numerous agents are playing games with each other by adopting dynamical strategies in dynamical networks. The dynamics of strategy and structure are entangled tightly, where the dynamics on networks is driven by the evolving strategies and the dynamics of networks is led by the rewiring actions. In this paper, adaptive and probabilistic strategies are studied to explore the prevalence of cooperation in Prisoner’s Dilemma (PD). Each agent will update the probability to cooperate in a distributed manner by aggregating local and historical information instead of pairwise comparison, meanwhile the agents rewire the network by redirecting the links from defective neighbours to others. Global prosperity comes along with the emergent diversity of network, when a large number of edges are absorbed into a tiny group of cooperative agents. A rich landscape is demonstrated by changing various embedding parameters, which may shed light upon the self-interested behaviour and swarm intelligence in social, biological and ecological networks.

Suggested Citation

  • Yang, Guoli & Zhu, Cheng & Zhang, Weiming, 2019. "Adaptive and probabilistic strategy evolution in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 99-110.
    • Handle: RePEc:eee:phsmap:v:518:y:2019:i:c:p:99-110
    DOI: 10.1016/j.physa.2018.11.046
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    References listed on IDEAS

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    Cited by:

    1. Oliveira, B.F. de & Szolnoki, A., 2021. "Social dilemmas in off-lattice populations," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Szolnoki, Attila & Chen, Xiaojie, 2020. "Gradual learning supports cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Szolnoki, Attila & Chen, Xiaojie, 2020. "Strategy dependent learning activity in cyclic dominant systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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