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Promotion of cooperation by adaptive interaction: The role of heterogeneity in neighborhoods

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  • Han, Xu
  • Zhao, Xiaowei
  • Xia, Haoxiang

Abstract

Evolution of cooperation in prisoner’s dilemma games has been studied extensively in the past decades. Recent studies have investigated the effect of adaptive interaction intensity on spatial prisoner’s dilemma, showing that if individuals can adjust their interaction intensity with each opponent at the same extent, cooperation can be promoted in a proper scale. However, the previous studies about adaptive interaction willingness do not consider the heterogeneity of the opponents. In this paper, a simulative model is developed to examine whether and how the interactive diversity influences cooperation in the spatial prisoner’s dilemma games, in which individuals consider the corresponding behavior of different opponents. The simulation results show that the proposed mechanism can effectively promote cooperation, and the average payoff of the system can significantly be improved by high interaction intensity between cooperators. In addition, we also show four kinds of different individuals to analyze the evolution progresses. The simulations show that cooperators on the boundary decrease their interaction willingness, which makes the boundary defectors lose their opportunity to participate in the interaction and be invaded by cooperators.

Suggested Citation

  • Han, Xu & Zhao, Xiaowei & Xia, Haoxiang, 2018. "Promotion of cooperation by adaptive interaction: The role of heterogeneity in neighborhoods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 483-491.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:483-491
    DOI: 10.1016/j.physa.2018.02.123
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    References listed on IDEAS

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    1. Ma, Yongjuan & Lu, Jun & Shi, Lei, 2017. "Diversity of neighborhoods promotes cooperation in evolutionary social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 212-218.
    2. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    3. Li, Zhi & Gao, Jia & Suh, Il Hong & Wang, Long, 2013. "Evolution of cooperation in lattice population with adaptive interaction intensity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2046-2051.
    4. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    5. Meng, Xiaokun & Sun, Shiwen & Li, Xiaoxuan & Wang, Li & Xia, Chengyi & Sun, Junqing, 2016. "Interdependency enriches the spatial reciprocity in prisoner’s dilemma game on weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 388-396.
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    Cited by:

    1. Han, Xu & Xia, Haoxiang & Zhao, Xiaowei, 2024. "Memory–based adaptive interaction willingness enhances cooperation in spatial prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    2. Liu, Yandi & Wang, Hexin & Ding, Yi & Yang, Xuan & Dai, Yu, 2022. "Can weak diversity help in propagating cooperation? Invasion of cooperators at the conformity-conflict boundary," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Han, Xu & Zhao, Xiaowei & Xia, Haoxiang, 2022. "Hybrid learning promotes cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Li, Bing & Zhao, Xiaowei & Xia, Haoxiang, 2019. "Promotion of cooperation by Hybrid Migration mechanisms in the Spatial Prisoner’s Dilemma Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 1-8.
    5. Han, Xu & Zhao, Xiaowei & Xia, Haoxiang, 2021. "Evolution of cooperation through aspiration-based adjustment of interaction range in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 393(C).

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