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Successful initial positioning of non-cooperative individuals in cooperative populations effectively hinders cooperation prosperity

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  • Chen, Wei
  • Wang, Jianwei
  • Yu, Fengyuan
  • He, Jialu
  • Xu, Wenshu
  • Dai, Wenhui

Abstract

Identifying the most influential individuals in structured populations is an important research topic throughout network science. Previous studies, whether identifying the initial cooperators in a network that can lead to the spread of cooperation or assessing the chances that an intrusive defector may lead to the collapse of cooperation, have assumed that all individual attributes are homogeneous. However, heterogeneity among humans is widespread and can sometimes affect cooperation and welfare. For example, the layout of non-cooperative individuals in cooperative individuals inhibits the evolution of cooperation. Therefore, specifying the heterogeneity of individuals and studying the effect of their initial position on cooperation is the focus of our attention. Here we hypothesize that individuals in the network are divided into cooperative and non-cooperative individuals according to the heterogeneity of social value orientations, and we investigate the effects of the initial position of non-cooperative individuals on cooperation by adding them through different ranking rules to the network composed of cooperative individuals. We investigate separately the effects of the proportion of non-cooperative individuals, the proportion of initial cooperators of different types of individuals and different game scenarios on cooperation under different ranking rules. The results show that the addition of non-cooperative individuals to cooperative populations can effectively hinder the spread of cooperation. We also find that the proportion of initial cooperators for different types of individuals and the effects of different game types on population evolution also differ significantly under different ranking rules.

Suggested Citation

  • Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Dai, Wenhui, 2024. "Successful initial positioning of non-cooperative individuals in cooperative populations effectively hinders cooperation prosperity," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    • Handle: RePEc:eee:apmaco:v:462:y:2024:i:c:s0096300323004903
    DOI: 10.1016/j.amc.2023.128321
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    2. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & Xu, Wenshu & Dai, Wenhui, 2024. "Heterogeneous interaction radius based on emotional dynamics can promote cooperation in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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