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Evolutionary game on a growing multilayer network

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  • Li, Gang
  • Sun, Xiaochen

Abstract

Numerous complex systems display the multilayer feature rather than the single or isolated one. It is thus significant to study how these structures emerge and the mechanisms behind them. In this paper we propose a novel growing model to explain the formation of multilayer networks, where the network growth and strategy evolution in prisoner’s dilemma game interact and coevolve. We introduce the growing rate to control the ratio of strategy evolution to network growth, and the coupling strength to adjust the connecting density between layers. The simulation results show that besides the scale-free property observed in the resulting networks, the coupling strength is significant to cooperative behaviors. Under the weak coupling strength, the role of network reciprocity works and the resulting networks can preserve a relatively high cooperation level; however, with the increase of coupling strength, the role of network reciprocity fades away or disappears. The strong coupling strength, denoting individuals can obtain more extra payoff from their external circumstance, induces a low cooperation level. In addition, the growing rate also influences cooperative behaviors and a fast growing rate is beneficial to cooperation.

Suggested Citation

  • Li, Gang & Sun, Xiaochen, 2021. "Evolutionary game on a growing multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    • Handle: RePEc:eee:phsmap:v:578:y:2021:i:c:s0378437121003836
    DOI: 10.1016/j.physa.2021.126110
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    References listed on IDEAS

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    Cited by:

    1. Beranek, L. & Remes, R., 2023. "The emergence of a core–periphery structure in evolving multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
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    3. Wu, Yu’e & Zhang, Zhipeng & Yang, Guoli & Liu, Haixin & Zhang, Qingfeng, 2022. "Evolution of cooperation driven by diversity on a double-layer square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    4. Wang, Chaoqian & Lin, Zongzhe & Rothman, Dale S., 2022. "Public goods game on coevolving networks driven by the similarity and difference of payoff," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. Liu, Siyuan & Zhang, Chunyan & Li, Kun & Zhang, Jianlei, 2022. "Exploring the inducement for social dilemma and cooperation promotion mechanisms in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    6. Yuhui, Qiu & Tianyang, Lv & Xizhe, Zhang & Honghua, Hu & Yuanchi, Ma, 2024. "Cooperation emerged and survived in scale-free networks in co-evolution and betrayer-prevailing circumstances," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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