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Promotion of cooperation induced by the interplay between structure and game dynamics

Author

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  • Fu, Feng
  • Chen, Xiaojie
  • Liu, Lianghuan
  • Wang, Long

Abstract

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a n-round Prisoner's Dilemma game with its immediate neighbors, after that, based upon self-interest, partial individuals may punish their defective neighbors by dismissing the social tie to the one who defects the most times, meanwhile seek for a new partner at random from the neighbors of the punished agent. It is found that the promotion of cooperation is attributed to the entangled evolution of individual strategy and network structure. Moreover, we show that the emerging social networks exhibit high heterogeneity and disassortative mixing pattern. For a given average connectivity of the population and the number of rounds, there is a critical value for the fraction of individuals adapting their social interactions, above which cooperators wipe out defectors. Besides, the effects of the average degree, the number of rounds, and the intensity of selection are investigated by extensive numerical simulations. Our results to some extent reflect the underlying mechanism promoting cooperation.

Suggested Citation

  • Fu, Feng & Chen, Xiaojie & Liu, Lianghuan & Wang, Long, 2007. "Promotion of cooperation induced by the interplay between structure and game dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 651-659.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:651-659
    DOI: 10.1016/j.physa.2007.04.099
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    Citations

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    Cited by:

    1. Bo Xianyu & Ping Chen, 2011. "Does Social Welfare Preference Always Promote Cooperation on Barabási and Albert Networks?," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 249-266, March.
    2. Li, Jiaqi & Zhang, Chunyan & Sun, Qinglin & Chen, Zengqiang, 2015. "Coevolution between strategy and social networks structure promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 253-263.
    3. Zhong, Weicai & Abbass, Hussein A. & Bender, Axel & Liu, Jing, 2011. "Mixed strategy and coevolution dynamics in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 410-417.
    4. Tanimoto, Jun, 2009. "Promotion of cooperation through co-evolution of networks and strategy in a 2 × 2 game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 953-960.
    5. You, Tao & Shi, Liang & Wang, Xiaoyu & Mengibaev, Muslimbek & Zhang, Ying & Zhang, Peng, 2021. "The effects of aspiration under multiple strategy updating rules on cooperation in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    6. Takesue, Hirofumi, 2021. "Symmetry breaking in the prisoner’s dilemma on two-layer dynamic multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    7. Deng, Lili & Tang, Wansheng & Zhang, Jianxiong, 2011. "The coevolutionary ultimatum game on different network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4227-4235.
    8. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2016. "Friendship-based partner switching promotes cooperation in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 192-199.
    9. Duh, Maja & Gosak, Marko & Perc, Matjaž, 2021. "Public goods games on random hyperbolic graphs with mixing," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    10. Li, Gang & Jin, Xiao-Gang & Song, Zhi-Huan, 2012. "Evolutionary game on a stochastic growth network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6664-6673.
    11. Takesue, Hirofumi, 2019. "Effects of updating rules on the coevolving prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 399-408.
    12. Liu, Yongkui & Chen, Xiaojie & Zhang, Lin & Tao, Fei & Wang, Long, 2012. "Does migration cost influence cooperation among success-driven individuals?," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1301-1308.

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