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Positive correlation between strategy persistence and teaching ability promotes cooperation in evolutionary Prisoner’s Dilemma games

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  • Liu, Danna
  • Huang, Changwei
  • Dai, Qionglin
  • Li, Haihong

Abstract

Strategy persistence and heterogeneous teaching ability are two factors that play important roles in promoting cooperation. In this work, we simultaneously take the strategy persistence and heterogeneous teaching ability into account in evolutionary prisoner’s dilemma games. We introduce the correlation between strategy persistence (τ) and teaching ability (ω) by partitioning a population into two groups. In the positive (negative) correlation scheme, individuals in one group are assigned with large τ and ω=1 (reduced teaching ability ω<1) and those in the other with τ=0 and ω<1 (ω=1). The simulation results show that, compared to negative correlation, positive correlation between strategy persistence and teaching ability can greatly enhance cooperation and result in a much higher cooperation level. Furthermore, we show that the finding is robust with respect to reduced teaching ability ω, initial cooperator fraction f0, amplitude of noise K and underlying network topology.

Suggested Citation

  • Liu, Danna & Huang, Changwei & Dai, Qionglin & Li, Haihong, 2019. "Positive correlation between strategy persistence and teaching ability promotes cooperation in evolutionary Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 267-274.
  • Handle: RePEc:eee:phsmap:v:520:y:2019:i:c:p:267-274
    DOI: 10.1016/j.physa.2019.01.041
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    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Xia, Chengyi & Miao, Qin & Zhang, Juanjuan, 2013. "Impact of neighborhood separation on the spatial reciprocity in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 22-30.
    3. Liu, Yuanming & Huang, Changwei & Dai, Qionglin, 2018. "Preferential selection based on strategy persistence and memory promotes cooperation in evolutionary prisoner’s dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 481-489.
    4. Zhang, Yanling & Chen, Xiaojie & Liu, Aizhi & Sun, Changyin, 2018. "The effect of the stake size on the evolution of fairness," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 641-653.
    5. Chen Shen & Chen Chu & Yini Geng & Jiahua Jin & Fei Chen & Lei Shi, 2018. "Cooperation enhanced by the coevolution of teaching activity in evolutionary prisoner's dilemma games with voluntary participation," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-8, February.
    6. Yang, Kai & Huang, Changwei & Dai, Qionglin & Yang, Junzhong, 2018. "The effects of attribute persistence on cooperation in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 23-28.
    7. Zhenhua Pei & Baokui Wang & Jinming Du, 2016. "Effects of income redistribution on the evolution of cooperation in spatial public goods games," Papers 1611.01531, arXiv.org.
    8. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong, 2017. "Aspiration-induced dormancy promotes cooperation in the spatial Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 625-630.
    9. Huang, Keke & Liu, Yishun & Zhang, Yichi & Yang, Chunhua & Wang, Zhen, 2018. "Understanding cooperative behavior of agents with heterogeneous perceptions in dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 234-240.
    10. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, April.
    11. 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.
    12. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    13. Chen, Ya-Shan & Yang, Han-Xin & Guo, Wen-Zhong, 2016. "Promotion of cooperation by payoff-driven migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 506-514.
    14. Huang, Changwei & Han, Wenchen & Li, Haihong & Cheng, Hongyan & Dai, Qionglin & Yang, Junzhong, 2019. "Public cooperation in two-layer networks with asymmetric interaction and learning environments," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 305-313.
    15. Yang, Han-Xin & Chen, Xiaojie, 2018. "Promoting cooperation by punishing minority," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 460-466.
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