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Heterogeneous donation game in geographical small-world networks

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  • Yang, Han-Xin
  • Sun, Lei

Abstract

In this paper, we study a heterogeneous donation game in geographical small-world networks. Cooperators provide benefits to their neighbors at some costs. Defectors pay no cost and do not distribute any benefits. The total contribution of a cooperator is fixed and he/she distributes his/her contribution unevenly to his/her neighbors. The amount that a cooperator contributes to a neighbor depends on their geographical distance. Our results show that, the cooperation level reaches the highest when cooperators give distant neighbors more help, but only to a certain extent. We analyze the time evolution of cooperator clusters and the length of cooperative links. Besides, we study the effects of the density of shortcuts on cooperation.

Suggested Citation

  • Yang, Han-Xin & Sun, Lei, 2020. "Heterogeneous donation game in geographical small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119318278
    DOI: 10.1016/j.physa.2019.123255
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    Cited by:

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    2. Guan, Kaixuan & Chen, Yuyou & Zheng, Wanjun & Zeng, Lulu & Ye, Hang, 2022. "Costly signals can facilitate cooperation and punishment in the prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    3. Wang, Runzhou & Zhang, Xinsheng & Wang, Minghu, 2024. "A two-layer model with partial mapping: Unveiling the interplay between information dissemination and disease diffusion," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    4. Li, Xiaopeng & Hao, Gang & Zhang, Zhipeng & Xia, Chengyi, 2021. "Evolution of cooperation in heterogeneously stochastic interactions," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Liming Zhang & Ming Cai & Yingxin Zhang & Shuai Wang & Yao Xiao, 2024. "Two-layer network evolutionary game model applied to complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-17, November.
    6. Chakraborty, Abhishek & Babu, Sarath & Manoj, B.S., 2020. "On achieving capacity-enhanced small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).

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