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Promoting cooperation in social dilemmas via simple coevolutionary rules

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Cited by:

  1. Xiaopeng Li & Zhonglin Wang & Jiuqiang Liu & Guihai Yu, 2023. "The Sense of Cooperation on Interdependent Networks Inspired by Influence-Based Self-Organization," Mathematics, MDPI, vol. 11(4), pages 1-16, February.
  2. Bi, Yan & Hao, Qingyi & Liu, Kui, 2025. "The influence of reputation levels and disparities on the evolution of cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 501(C).
  3. Zheng, Guozhong & Zhang, Jiqiang & Deng, Shengfeng & Cai, Weiran & Chen, Li, 2024. "Evolution of cooperation in the public goods game with Q-learning," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
  4. Bo Xianyu & Ping Chen, 2011. "Does Social Welfare Preference Always Promote Cooperation on Barabási and Albert Networks?," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 249-266, March.
  5. Kohei Miyaji & Jun Tanimoto & Zhen Wang & Aya Hagishima & Naoki Ikegaya, 2013. "Direct Reciprocity in Spatial Populations Enhances R -Reciprocity As Well As ST -Reciprocity," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-8, August.
  6. 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.
  7. Zhang, Zhipeng & Wu, Yu’e & Zhang, Shuhua, 2022. "Reputation-based asymmetric comparison of fitness promotes cooperation on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
  8. Bai, Pengzhou & Qiang, Bingzhuang & Zou, Kuan & Huang, Changwei, 2024. "Preferential selection based on adaptive attractiveness induce by reinforcement learning promotes cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
  9. Zou, Kuan & Han, Wenchen & Zhang, Lan & Huang, Changwei, 2024. "The spatial public goods game on hypergraphs with heterogeneous investment," Applied Mathematics and Computation, Elsevier, vol. 466(C).
  10. Zhang, Mengshu & Ren, Tianyu & Zeng, Xiao-Jun & Li, Jia, 2024. "Promoting cooperation through dynamic trustworthiness in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 479(C).
  11. Ling, Ting & Li, Zhang & Feng, Minyu & Szolnoki, Attila, 2025. "Supervised cooperation on interdependent public goods games," Applied Mathematics and Computation, Elsevier, vol. 492(C).
  12. Jalili, Mahdi, 2013. "Social power and opinion formation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 959-966.
  13. Zhou, Meng & Yang, Yanlong & Xiang, Shuwen, 2025. "Effect of community learning mechanism on cooperation in conflict societies," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
  14. Chunyan Zhang & Jianlei Zhang & Guangming Xie & Long Wang & Matjaž Perc, 2011. "Evolution of Interactions and Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-7, October.
  15. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2016. "Friendship-based partner switching promotes cooperation in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 192-199.
  16. Francis Ferreira Franco & Paulo Freitas Gomes, 2024. "New coevolution dynamic as an optimization strategy in group problem solving," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(12), pages 1-11, December.
  17. Fan, Xue & Wang, Lidong & Liu, Xuesong & Zheng, Anhao, 2025. "Exemplary cooperation strategy with positive influence enhances cooperation quality in social dilemma," Applied Mathematics and Computation, Elsevier, vol. 498(C).
  18. Li, Pei & Duan, Haibin, 2015. "Evolution of cooperation driven by incremental learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 14-22.
  19. Tian, Yue & Gao, Shun & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2024. "Particle swarm intelligence promotes cooperation by adapting interaction radii in co-evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 474(C).
  20. Tanimoto, Jun & Sagara, Hirokji, 2015. "How the indirect reciprocity with co-evolving norm and strategy for 2 × 2 prisoner’s dilemma game works for emerging cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 595-602.
  21. Xia, Chengyi & Wang, Juan & Wang, Li & Sun, Shiwen & Sun, Junqing & Wang, Jinsong, 2012. "Role of update dynamics in the collective cooperation on the spatial snowdrift games: Beyond unconditional imitation and replicator dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1239-1245.
  22. Wang, Weijie & Xu, Zhehang & Hua, Shijia & Cui, Longqing & Zhang, Jianlin & Meng, Fanyuan, 2024. "Threshold-initiated spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
  23. Du, Chunpeng & Guo, Keyu & Lu, Yikang & Jin, Haoyu & Shi, Lei, 2023. "Aspiration driven exit-option resolves social dilemmas in the network," Applied Mathematics and Computation, Elsevier, vol. 438(C).
  24. Yunsheng Deng & Jihui Zhang, 2022. "The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-13, February.
  25. Yang, Shi-Han & Song, Qi-Qing, 2018. "Group learning versus local learning: Which is prefer for public cooperation?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1251-1258.
  26. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The impact of reputation-based heterogeneous evaluation and learning on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
  27. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolution of cooperation among mobile agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1615-1622.
  28. Zhuang, Qian & Wang, Dong & Fan, Ying & Di, Zengru, 2012. "Evolution of cooperation in a heterogeneous population with influential individuals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1735-1741.
  29. Hirofumi Takesue, 2020. "From defection to ingroup favoritism to cooperation: simulation analysis of the social dilemma in dynamic networks," Journal of Computational Social Science, Springer, vol. 3(1), pages 189-207, April.
  30. Hu, Qi & Zhou, Mengyu & Jiang, Yulian & Liu, Xingwen, 2024. "Analysis of cooperative stability for reputation evaluation rules in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 482(C).
  31. Lu, Shounan & Zhu, Ge & Zhang, Lianzhong, 2023. "Antisocial behavior-based environmental feedback in spatial prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
  32. Luo, Yijun & Huang, Changwei & Han, Wenchen, 2024. "The evolution of cooperation and global synchronization in the evolutionary Kuramoto dilemma combined with the prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 482(C).
  33. Luo, Chao & Jiang, Zhipeng, 2017. "Coevolving allocation of resources and cooperation in spatial evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 47-57.
  34. Lu, Shounan & Wang, Yang, 2025. "Experience-driven learning and interactive rules under link weight adjustment promote cooperation in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 497(C).
  35. Qian, Jia-Li & Zhou, Yin-Xiang & Hao, Qing-Yi, 2024. "The emergence of cooperative behavior based on random payoff and heterogeneity of concerning social image," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
  36. Bin, Liu & Yue, Wu, 2023. "Co-evolution of reputation-based preference selection and resource allocation with multigame on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 456(C).
  37. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
  38. Shang, Lihui & Sun, Sihao & Ai, Jun & Su, Zhan, 2022. "Cooperation enhanced by the interaction diversity for the spatial public goods game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
  39. Lin, Zhiqi & Xu, Hedong & Fan, Suohai, 2020. "Evolutionary accumulated temptation game on small world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
  40. Peican Zhu & Xin Hou & Yangming Guo & Jiwei Xu & Jinzhuo Liu, 2021. "Investigating the effects of updating rules on cooperation by incorporating interactive diversity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-8, February.
  41. Lv, Shaojie & Song, Feifei, 2022. "Particle swarm intelligence and the evolution of cooperation in the spatial public goods game with punishment," Applied Mathematics and Computation, Elsevier, vol. 412(C).
  42. Deming Mao & Xiaoyu Li & Dejun Mu & Dujuan Liu & Chen Chu, 2021. "Separated interactive behaviors promote cooperation in the spatial prisoner’s dilemma game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(7), pages 1-9, July.
  43. Lin, Hai & Yang, Dong-Ping & Shuai, J.W., 2011. "Cooperation among mobile individuals with payoff expectations in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 153-159.
  44. Yu, Fengyuan & Wang, Jianwei & He, Jialu, 2022. "Inequal dependence on members stabilizes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
  45. Chen, Zhuo & Gao, Jianxi & Cai, Yunze & Xu, Xiaoming, 2011. "Evolutionary prisoner’s dilemma game in flocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 50-56.
  46. Lu, Shounan & Wang, Yang, 2025. "Past-performance-driven strategy updating promote cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 491(C).
  47. Wang, Zhen & Yu, Chao & Cui, Guang-Hai & Li, Ya-Peng & Li, Ming-Chu, 2016. "Evolution of cooperation in spatial iterated Prisoner’s Dilemma games under localized extremal dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 566-575.
  48. Guo, Shiqiang & Wang, Juan & Zhao, Dawei & Xia, Chengyi, 2023. "Role of second-order reputation evaluation in the multi-player snowdrift game on scale-free simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
  49. 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.
  50. Wang, Lei & Xia, Chengyi & Wang, Li & Zhang, Ying, 2013. "An evolving Stag-Hunt game with elimination and reproduction on regular lattices," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 69-76.
  51. Ma, Jinlong & Zhao, Hongfei, 2024. "Evaluation and threshold-based mutual supervision promotes the evolution of cooperation on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 479(C).
  52. Ping Zhu & Guiyi Wei, 2014. "Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
  53. Wang, Zhen & Zhang, Geng-shun & Ding, Hong & Cui, Guang-Hai & Yao, Ye, 2019. "Strategy imitation behavior driven influence adjustment promotes cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
  54. Lu, Shounan & Dai, Jianhua & Zhu, Ge & Guo, Li, 2023. "Investigating the effectiveness of interaction-efficiency-driven strategy updating under progressive-interaction for the evolution of the prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
  55. Zou, Kuan & Huang, Changwei, 2024. "Incorporating reputation into reinforcement learning can promote cooperation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
  56. Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
  57. Lv, Ran & Qian, Jia-Li & Hao, Qing-Yi & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "The impact of current and historical reputation with non-uniform change on cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
  58. Tamas David-Barrett, 2022. "Clustering Drives Cooperation on Reputation Networks, All Else Fixed," Papers 2203.00372, arXiv.org.
  59. Zhang, Yanling & Yang, Shuo & Chen, Xiaojie & Bai, Yanbing & Xie, Guangming, 2023. "Reputation update of responders efficiently promotes the evolution of fairness in the ultimatum game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  60. Yang, Yizhou & Li, Haihong & Gao, Shun & Dai, Qionglin & Yang, Junzhong, 2025. "Interdependent evolutionary dynamics of opinion and strategy on two-layer networks," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  61. Guo, Yujie & Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2023. "Network adaption based on environment feedback promotes cooperation in co-evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
  62. Ye, Wenxing & Wen, Luliang & Fan, Suohai, 2025. "Memory-based prisoner’s dilemma game with payoff-driven preferential selection," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
  63. Bandyopadhyay, Abhirup & Kar, Samarjit, 2018. "Coevolution of cooperation and network structure in social dilemmas in evolutionary dynamic complex network," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 710-730.
  64. Cui, Guang-Hai & Li, Ming-Chu & Fan, Xin-Xin & Deonauth, Nakema & Wang, Zhen, 2014. "Optimism when winning and cautiousness when losing promote cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 181-189.
  65. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
  66. Wang, Jianwei & Chen, Wei & Yu, Fengyuan & He, Jialu & Xu, Wenshu, 2022. "Wealth-based rule favors cooperation in costly public goods games when individual selection is inevitable," Applied Mathematics and Computation, Elsevier, vol. 414(C).
  67. Chunyan Zhang & Jianlei Zhang & Franz J Weissing & Matjaž Perc & Guangming Xie & Long Wang, 2012. "Different Reactions to Adverse Neighborhoods in Games of Cooperation," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-7, April.
  68. Wang, Zhen & Wu, Bin & Li, Ya-peng & Gao, Hang-xian & Li, Ming-chu, 2013. "Does coveting the performance of neighbors of thy neighbor enhance spatial reciprocity?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 28-34.
  69. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).
  70. Zhao, Xiaowei & Xia, Haoxiang, 2023. "Information accuracy of migration and imitation influences the evolution of cooperation in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
  71. Feng, Kehuan & Han, Songlin & Feng, Minyu & Szolnoki, Attila, 2024. "An evolutionary game with reputation-based imitation-mutation dynamics," Applied Mathematics and Computation, Elsevier, vol. 472(C).
  72. Shen, Chen & Li, Xiaoping & Shi, Lei & Deng, Zhenghong, 2017. "Asymmetric evaluation promotes cooperation in network population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 391-397.
  73. Liu, Chengwei & Wang, Juan & Li, Xiaopeng & Xia, Chengyi, 2020. "The link weight adjustment considering historical strategy promotes the cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
  74. Yang, Qianxi & Yang, Yanlong, 2025. "Effects of an update mechanism based on combinatorial memory and high-reputation learning objects on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 495(C).
  75. Yang, Guoli & Zhu, Cheng & Zhang, Weiming, 2019. "Adaptive and probabilistic strategy evolution in dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 99-110.
  76. Li, Gang & Jin, Xiao-Gang & Song, Zhi-Huan, 2012. "Evolutionary game on a stochastic growth network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6664-6673.
  77. Wang, Hanchen & Sun, Yichun & Zheng, Lei & Du, Wenbo & Li, Yumeng, 2018. "The public goods game on scale-free networks with heterogeneous investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 396-404.
  78. Du, Jinming & Wu, Ziren, 2022. "Evolutionary dynamics of cooperation in dynamic networked systems with active striving mechanism," Applied Mathematics and Computation, Elsevier, vol. 430(C).
  79. Xin Wang & Jing Han & Huawei Han, 2011. "Special Agents Can Promote Cooperation in the Population," PLOS ONE, Public Library of Science, vol. 6(12), pages 1-9, December.
  80. Haodong Niu & Keyu Li & Juan Wang, 2023. "Paid Access to Information Promotes the Emergence of Cooperation in the Spatial Prisoner’s Dilemma," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
  81. Du, Jinming & Wu, Ziren, 2023. "Coevolutionary dynamics of strategy and network structure with publicity mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
  82. Liu, Penghui & Liu, Jing, 2017. "Robustness of coevolution in resolving prisoner’s dilemma games on interdependent networks subject to attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 362-370.
  83. 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).
  84. Dong, Yukun & Xu, Hedong & Fan, Suohai, 2019. "Memory-based stag hunt game on regular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 247-255.
  85. Li, Yan & Ye, Hang, 2015. "Effect of migration based on strategy and cost on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 156-165.
  86. Yu, Fengyuan & Wang, Jianwei & Chen, Wei & He, Jialu, 2023. "Increased cooperation potential and risk under suppressed strategy differentiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
  87. Chu, Chen & Liu, Jinzhuo & Shen, Chen & Jin, Jiahua & Tang, Yunxuan & Shi, Lei, 2017. "Coevolution of game strategy and link weight promotes cooperation in structured population," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 28-32.
  88. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Wang, Rong, 2021. "Effects of emotion on the evolution of cooperation in a spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 411(C).
  89. Xiaoyu Li & Le Cheng & Xiaotong Niu & Siying Li & Chen Liu & Peican Zhu, 2021. "Highly cooperative individuals’ clustering property in myopic strategy groups," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(6), pages 1-7, June.
  90. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2024. "The cooperative evolution in the spatial prisoner's dilemma game with the local loyalty of two-strategy," Applied Mathematics and Computation, Elsevier, vol. 466(C).
  91. Zhang, Kangjie & Cheng, Hongyan, 2016. "Co-evolution of payoff strategy and interaction strategy in prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 439-445.
  92. Zhang, Hong, 2023. "Evolution of cooperation with tag-based expulsion in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
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