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A simple rule for the evolution of cooperation on graphs and social networks

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  1. Wang, Zi-Ren & Deng, Zheng-Hong & Wang, Huan-Bo & Qu, Yun, 2021. "Moderate irrational sentiment-driven fitness can promote cooperation in the prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
  2. Mark Broom & Igor V. Erovenko & Jan Rychtář, 2021. "Modelling Evolution in Structured Populations Involving Multiplayer Interactions," Dynamic Games and Applications, Springer, vol. 11(2), pages 270-293, June.
  3. Mullon, Charles & Peña, Jorge & Lehmann, Laurent, 2023. "Evolution of environmentally mediated social interactions under isolation by distance," TSE Working Papers 23-1476, Toulouse School of Economics (TSE).
  4. Beranek, L. & Remes, R., 2023. "The emergence of a core–periphery structure in evolving multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
  5. Corina E. Tarnita, 2015. "Fairness and Trust in Structured Populations," Games, MDPI, vol. 6(3), pages 1-17, July.
  6. Song, Zhao & Guo, Hao & Jia, Danyang & Perc, Matjaž & Li, Xuelong & Wang, Zhen, 2021. "Third party interventions mitigate conflicts on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 403(C).
  7. Wang, Chaoqian & Sun, Chengbin, 2023. "Public goods game across multilayer populations with different densities," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
  8. 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.
  9. Shimpei Koike & Mayuko Nakamaru & Tokinao Otaka & Hajime Shimao & Ken-Ichi Shimomura & Takehiko Yamato, 2018. "Reciprocity and exclusion in informal financial institutions: An experimental study of rotating savings and credit associations," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-23, August.
  10. Spiekermann, Kai, 2009. "Sort out your neighbourhood: public good games on dynamic networks," LSE Research Online Documents on Economics 26739, London School of Economics and Political Science, LSE Library.
  11. René van den Brink & Agnieszka Rusinowska, 2023. "Degree Centrality, von Neumann-Morgenstern Expected Utility and Externalities in Networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-04188289, HAL.
  12. Monteiro, R.L.S. & Fontoura, J.R.A. & Carneiro, T.K.G. & Moret, M.A. & Pereira, H.B.B., 2014. "Evolution based on chromosome affinity from a network perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 276-283.
  13. Nesrine Ben Khalifa & Rachid El-Azouzi & Yezekael Hayel & Issam Mabrouki, 2017. "Evolutionary Games in Interacting Communities," Dynamic Games and Applications, Springer, vol. 7(2), pages 131-156, June.
  14. Alexander J. Stewart & Joshua B. Plotkin, 2015. "The Evolvability of Cooperation under Local and Non-Local Mutations," Games, MDPI, vol. 6(3), pages 1-20, July.
  15. Zhiwei Wang & Hui Sun & Chenxin Ding & Long Xin & Xuechao Xia & Yuanyuan Gong, 2023. "Do Technology Alliance Network Characteristics Promote Ambidextrous Green Innovation? A Perspective from Internal and External Pressures of Firms in China," Sustainability, MDPI, vol. 15(4), pages 1-23, February.
  16. Yu, Jianyong & Jiang, J.C. & Xiang, Leijun, 2017. "Group-based strategy diffusion in multiplex networks with weighted values," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 148-156.
  17. Yang Wang & Binghong Wang, 2015. "Evolution of Cooperation on Spatial Network with Limited Resource," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-9, August.
  18. Benjamin Allen & Christine Sample & Yulia Dementieva & Ruben C Medeiros & Christopher Paoletti & Martin A Nowak, 2015. "The Molecular Clock of Neutral Evolution Can Be Accelerated or Slowed by Asymmetric Spatial Structure," PLOS Computational Biology, Public Library of Science, vol. 11(2), pages 1-32, February.
  19. Tim Johnson & Oleg Smirnov, 2020. "Temporal assortment of cooperators in the spatial prisoner's dilemma," Papers 2011.14440, arXiv.org.
  20. Konno, Tomohiko, 2013. "An imperfect competition on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5453-5460.
  21. Hitomu Kotani & Muneta Yokomatsu, 2016. "Natural disasters and dynamics of “a paradise built in hell”: a social network approach," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(1), pages 309-333, October.
  22. Yali Dong & Cong Li & Yi Tao & Boyu Zhang, 2015. "Evolution of Conformity in Social Dilemmas," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-12, September.
  23. Liu, Yujie & Li, Zemin & Jin, Xing & Tao, Yuchen & Ding, Hong & Wang, Zhen, 2022. "The effect of perceptions competition and learning costs on cooperation in spatial evolutionary multigames," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  24. Wang, Chaoqian & Szolnoki, Attila, 2022. "Involution game with spatio-temporal heterogeneity of social resources," Applied Mathematics and Computation, Elsevier, vol. 430(C).
  25. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
  26. Wakano, Joe Yuichiro & Ohtsuki, Hisashi & Kobayashi, Yutaka, 2013. "A mathematical description of the inclusive fitness theory," Theoretical Population Biology, Elsevier, vol. 84(C), pages 46-55.
  27. 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).
  28. Flávio L Pinheiro & Jorge M Pacheco & Francisco C Santos, 2012. "From Local to Global Dilemmas in Social Networks," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-6, February.
  29. Shijun Wang & Máté S Szalay & Changshui Zhang & Peter Csermely, 2008. "Learning and Innovative Elements of Strategy Adoption Rules Expand Cooperative Network Topologies," PLOS ONE, Public Library of Science, vol. 3(4), pages 1-9, April.
  30. Trenchard, Hugh, 2015. "The peloton superorganism and protocooperative behavior," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 179-192.
  31. Mohammad Salahshour, 2021. "Freedom to choose between public resources promotes cooperation," PLOS Computational Biology, Public Library of Science, vol. 17(2), pages 1-15, February.
  32. R. Bentley & Michael O’Brien & Paul Ormerod, 2011. "Quality versus mere popularity: a conceptual map for understanding human behavior," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 10(2), pages 181-191, December.
  33. Keizo Shigaki & Zhen Wang & Jun Tanimoto & Eriko Fukuda, 2013. "Effect of Initial Fraction of Cooperators on Cooperative Behavior in Evolutionary Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-7, November.
  34. Dimitris Iliopoulos & Arend Hintze & Christoph Adami, 2010. "Critical Dynamics in the Evolution of Stochastic Strategies for the Iterated Prisoner's Dilemma," PLOS Computational Biology, Public Library of Science, vol. 6(10), pages 1-8, October.
  35. Chengzhang Ma & Wei Cao & Wangheng Liu & Rong Gui & Ya Jia, 2013. "Direct Sum Matrix Game with Prisoner's Dilemma and Snowdrift Game," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-7, December.
  36. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
  37. Jorge Peña & Yannick Rochat, 2012. "Bipartite Graphs as Models of Population Structures in Evolutionary Multiplayer Games," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-13, September.
  38. Kroumi, Dhaker & Lessard, Sabin, 2015. "Evolution of cooperation in a multidimensional phenotype space," Theoretical Population Biology, Elsevier, vol. 102(C), pages 60-75.
  39. Zhang, Hong, 2022. "Effects of stubborn players and noise on the evolution of cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
  40. Newman, C.M. & Ravishankar, K. & Schertzer, E., 2015. "Brownian net with killing," Stochastic Processes and their Applications, Elsevier, vol. 125(3), pages 1148-1194.
  41. Francisco C Santos & Jorge M Pacheco & Tom Lenaerts, 2006. "Cooperation Prevails When Individuals Adjust Their Social Ties," PLOS Computational Biology, Public Library of Science, vol. 2(10), pages 1-8, October.
  42. Jason Barr & Troy Tassier, 2010. "Endogenous Neighborhood Selection and the Attainment of Cooperation in a Spatial Prisoner’s Dilemma Game," Computational Economics, Springer;Society for Computational Economics, vol. 35(3), pages 211-234, March.
  43. Paul E Smaldino & Mark Lubell, 2011. "An Institutional Mechanism for Assortment in an Ecology of Games," PLOS ONE, Public Library of Science, vol. 6(8), pages 1-7, August.
  44. Xiang-Hao Yang & Hui-Yun Huang & Yi-Chao Zhang & Jia-Sheng Wang & Ji-Hong Guan & Shui-Geng Zhou, 2023. "Short Memory-Based Human Strategy Modeling in Social Dilemmas," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
  45. Guo, Peilian & Han, Changda, 2021. "Nash equilibrium and group strategy consensus of networked evolutionary game with coupled social groups," Applied Mathematics and Computation, Elsevier, vol. 409(C).
  46. Simon D Angus & Jonathan Newton, 2015. "Emergence of Shared Intentionality Is Coupled to the Advance of Cumulative Culture," PLOS Computational Biology, Public Library of Science, vol. 11(10), pages 1-12, October.
  47. Li, Zhaofeng & Shen, Bi & Jiang, Yichuan, 2017. "The maintenance of cooperation in multiplex networks with limited and partible resources of agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 499-507.
  48. Xin-Jie Zhang & Yong Tang & Jason Xiong & Wei-Jia Wang & Yi-Cheng Zhang, 2018. "Dynamics of Cooperation in Minority Games in Alliance Networks," Sustainability, MDPI, vol. 10(12), pages 1-17, December.
  49. Boyer, Tristan & Jonard, Nicolas, 2014. "Imitation and efficient contagion," Journal of Economic Behavior & Organization, Elsevier, vol. 100(C), pages 20-32.
  50. Matthijs van Veelen & Benjamin Allen & Moshe Hoffman & Burton Simon & Carl Veller, 2016. "Inclusive Fitness," Tinbergen Institute Discussion Papers 16-055/I, Tinbergen Institute.
  51. 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).
  52. D. Timothy Bishop & Mark Broom & Richard Southwell, 2020. "Chris Cannings: A Life in Games," Dynamic Games and Applications, Springer, vol. 10(3), pages 591-617, September.
  53. Fabio Della Rossa & Fabio Dercole & Anna Di Meglio, 2020. "Direct Reciprocity and Model-Predictive Strategy Update Explain the Network Reciprocity Observed in Socioeconomic Networks," Games, MDPI, vol. 11(1), pages 1-28, March.
  54. Chen, Yu-Ting, 2023. "The replicator equation in stochastic spatial evolutionary games," Stochastic Processes and their Applications, Elsevier, vol. 157(C), pages 94-139.
  55. Zhang, Haihong & Wu, Wenqing & Zhao, Liming, 2016. "A study of knowledge supernetworks and network robustness in different business incubators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 545-560.
  56. Julia Poncela & Jesús Gómez-Gardeñes & Luis M Floría & Angel Sánchez & Yamir Moreno, 2008. "Complex Cooperative Networks from Evolutionary Preferential Attachment," PLOS ONE, Public Library of Science, vol. 3(6), pages 1-6, June.
  57. Cheng, Jiangjiang & Mei, Wenjun & Su, Wei & Chen, Ge, 2023. "Evolutionary games on networks: Phase transition, quasi-equilibrium, and mathematical principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
  58. 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.
  59. Peng Liu & Haoxiang Xia, 2015. "Structure and evolution of co-authorship network in an interdisciplinary research field," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 101-134, April.
  60. Curtis Atkisson & Monique Borgerhoff Mulder, 2020. "The structure of multiplex networks predicts play in economic games and real-world cooperation," Papers 2012.07669, arXiv.org.
  61. Feng, Tian-Jiao & Fan, Song-Jia & Li, Cong & Tao, Yi & Zheng, Xiu-Deng, 2023. "Noise-induced sustainability of cooperation in Prisoner's Dilemma game," Applied Mathematics and Computation, Elsevier, vol. 438(C).
  62. Xinrong Yang & Zhenping Geng & Haitao Li, 2023. "Matrix-Based Method for the Analysis and Control of Networked Evolutionary Games: A Survey," Games, MDPI, vol. 14(2), pages 1-13, February.
  63. Li, Qian & Song, Chenguang & Wu, Bin & Xiao, Yunpeng & Wang, Bai, 2018. "Social hotspot propagation dynamics model based on heterogeneous mean field and evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 324-341.
  64. Konno, Tomohiko, 2009. "Network structure of Japanese firms. Scale-free, hierarchy, and degree correlation: analysis from 800,000 firms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-13.
  65. Pan, Qiuhui & Shi, Shu & Zhang, Yu & He, Mingfeng, 2013. "Cooperation in spatial prisoner’s dilemma game with delayed decisions," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 166-174.
  66. Charles G Nathanson & Corina E Tarnita & Martin A Nowak, 2009. "Calculating Evolutionary Dynamics in Structured Populations," PLOS Computational Biology, Public Library of Science, vol. 5(12), pages 1-7, December.
  67. Rossana Mastrandrea & Leonardo Boncinelli & Ennio Bilancini, 2023. "Coevolution of cognition and cooperation in structured populations under reinforcement learning," Papers 2306.11376, arXiv.org, revised Mar 2024.
  68. Aslihan Akdeniz & Matthijs van Veelen, 2019. "The cancellation effect at the group level," Tinbergen Institute Discussion Papers 19-073/I, Tinbergen Institute.
  69. Yunming Xiao & Bin Wu, 2019. "Close spatial arrangement of mutants favors and disfavors fixation," PLOS Computational Biology, Public Library of Science, vol. 15(9), pages 1-20, September.
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  71. Sarkar, Bijan, 2021. "The cooperation–defection evolution on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
  72. Haydée Lugo, 2013. "Heterogeneity in the resistance to learning," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(2), pages 267-276, October.
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