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Evolution of cooperation in a spatial structure with compensation mechanisms

Author

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  • Sun, Peiyuan
  • Liu, Xuesong
  • Wang, Enze
  • He, Mingfeng
  • Pan, Qiuhui

Abstract

We study the evolution of cooperation by modeling interactional individuals with compensation mechanism on a two-dimensional square lattice. In this model, the payoff to cooperators is the same no matter what types their neighbors are, while the payoff to defectors depends on whether there exists cooperative neighbor. In addition, cooperators will obtain some compensation from the payoffs of defectors. We find that a larger compensation coefficient in the model leads to the higher cooperation, which means the compensation mechanism partly promotes cooperation. In addition, the simulation results suggest that decreasing either the payoff of defectors without cooperative neighbors or the payoff of defectors with cooperative neighbors will promote cooperation.

Suggested Citation

  • Sun, Peiyuan & Liu, Xuesong & Wang, Enze & He, Mingfeng & Pan, Qiuhui, 2017. "Evolution of cooperation in a spatial structure with compensation mechanisms," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 503-507.
  • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:503-507
    DOI: 10.1016/j.chaos.2017.09.011
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    References listed on IDEAS

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    1. Lei Sun & Han-Xin Yang & Shao-Min Chen & Ya-Shan Chen, 2013. "Heterogeneous Aspirations Promote Cooperation In The Public Goods Game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-7.
    2. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    3. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    4. Yang, Han-Xin & Rong, Zhihai & Lu, Pei-Min & Zeng, Yong-Zhi, 2012. "Effects of aspiration on public cooperation in structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4043-4049.
    5. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    6. Lin, Ying-Ting & Yang, Han-Xin & Wu, Zhi-Xi & Wang, Bing-Hong, 2011. "Promotion of cooperation by aspiration-induced migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(1), pages 77-82.
    7. Oechssler, Jorg, 2002. "Cooperation as a result of learning with aspiration levels," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 405-409, November.
    8. Zhang, Jun & Fang, Yi-Ping & Du, Wen-Bo & Cao, Xian-Bin, 2011. "Promotion of cooperation in aspiration-based spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2258-2266.
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