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Prisoner's Dilemma on community networks

Author

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

Abstract

We introduce a community network model which exhibits scale-free property and study the evolutionary Prisoner's Dilemma game (PDG) on this network model. It is found that the frequency of cooperators decreases with the increment of the average degree k¯ from the simulation results. And reducing inter-community links can promote cooperation when we keep the total links (including inner-community and inter-community links) unchanged. It is also shown that the heterogeneity of networks does not always enhance cooperation and the pattern of links among all the vertices under a given degree-distribution plays a crucial role in the dominance of cooperation in the network model.

Suggested Citation

  • Chen, Xiaojie & Fu, Feng & Wang, Long, 2007. "Prisoner's Dilemma on community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 512-518.
  • Handle: RePEc:eee:phsmap:v:378:y:2007:i:2:p:512-518
    DOI: 10.1016/j.physa.2006.12.024
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    Citations

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    Cited by:

    1. Liu, Penghui & Liu, Jing, 2017. "Cooperation in the prisoner’s dilemma game on tunable community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 156-163.
    2. Wu, Jianshe & Hou, Yanqiao & Jiao, Licheng & Li, Huijie, 2014. "Community structure inhibits cooperation in the spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 169-179.
    3. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The cooperative evolution in the spatial prisoner's dilemma game with the local loyalty of two-strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    4. Lu, Shounan & Zhu, Ge & Zhang, Lianzhong, 2023. "Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    5. Lotfi, Nastaran & Rodrigues, Francisco A., 2022. "On the effect of memory on the Prisoner’s Dilemma game in correlated networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    6. Tsukamoto, Ei & Shirayama, Susumu, 2010. "Influence of the variance of degree distributions on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 577-586.
    7. Fengjie Xie & Jing Shi & Jun Lin, 2017. "Impact of interaction style and degree on the evolution of cooperation on Barabási–Albert scale-free network," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-15, August.
    8. Zhang, Lan & Huang, Changwei, 2023. "Preferential selection to promote cooperation on degree–degree correlation networks in spatial snowdrift games," Applied Mathematics and Computation, Elsevier, vol. 454(C).
    9. Liu, Penghui & Liu, Jing, 2017. "Robustness of coevolution in resolving prisoner’s dilemma games on interdependent networks subject to attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 362-370.

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