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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.

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  • 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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    4. Pan, Jianchen & Zhang, Lan & Han, Wenchen & Huang, Changwei, 2023. "Heterogeneous investment promotes cooperation in spatial public goods game on hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    5. 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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