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Effects of inequality on a spatial evolutionary public goods game

Author

Listed:
  • Jinzhuo Liu

    (Yunnan University
    The Key Laboratory for Software Engineering of Yunnan Province
    The Engineering Research Center of Cyberspace
    Northwestern Polytechnical University)

  • Mao Peng

    (Yunnan University
    The Key Laboratory for Software Engineering of Yunnan Province)

  • Yunchen Peng

    (Yunnan University)

  • Yong Li

    (Yunnan University)

  • Chen Chu

    (Northwestern Polytechnical University
    Yunnan University of Finance and Economics)

  • Xiaoyu Li

    (Northwestern Polytechnical University)

  • Qing Liu

    (Yunnan University
    The Key Laboratory for Software Engineering of Yunnan Province)

Abstract

Over the past decade, inequality has become one of the most complex and troubling challenges in the global economy. Many scientists are determined to eliminate inequality to achieve full cooperation. However, our research shows that not all inequalities hinder cooperation. In this article, we study the effects of inequality by introducing the disassortative mixing of the investment amount and enhancement factor assigned to certain individuals in the public goods game. Compared with the traditional version, we find that cooperation can be effectively promoted by aligned inequality, which means that individuals with the highest (lowest) investment capabilities contribute the greatest (lowest) investment amounts. The promotion of cooperation mainly depends on the heterogeneous contribution ability of players. Specifically, cooperators with high contribution ability can maximize collective benefits, causing cooperators with low contribution ability to form compact clusters and resist invasion by defectors. Our research indicates that the diversity of individual endowment and productivity may have a non-negligible influence on the evolution of cooperation among selfish individuals. Graphic Abstract The frequency of cooperation $$\rho _{c}$$ ρ c as a function of the enhancement factor r for different correlation coefficients.

Suggested Citation

  • Jinzhuo Liu & Mao Peng & Yunchen Peng & Yong Li & Chen Chu & Xiaoyu Li & Qing Liu, 2021. "Effects of inequality on a spatial evolutionary public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-7, August.
  • Handle: RePEc:spr:eurphb:v:94:y:2021:i:8:d:10.1140_epjb_s10051-021-00177-w
    DOI: 10.1140/epjb/s10051-021-00177-w
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    References listed on IDEAS

    as
    1. Jin, Jiahua & Shen, Chen & Chu, Chen & Shi, Lei, 2017. "Incorporating dominant environment into individual fitness promotes cooperation in the spatial prisoners' dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 70-75.
    2. Hargreaves Heap, Shaun P. & Ramalingam, Abhijit & Stoddard, Brock V., 2016. "Endowment inequality in public goods games: A re-examination," Economics Letters, Elsevier, vol. 146(C), pages 4-7.
    3. Cherry, Todd L. & Kroll, Stephan & Shogren, Jason F., 2005. "The impact of endowment heterogeneity and origin on public good contributions: evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 57(3), pages 357-365, July.
    4. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    5. 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.
    6. Guo, Hao & Shen, Chen & Dai, Dameng & Zhang, Mi & Chu, Chen & Shi, Lei, 2017. "Environment promotes the evolution of cooperation in spatial voluntary prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 47-53.
    7. Thomas Piketty & Emmanuel Saez, 2014. "Inequality in the long run," PSE-Ecole d'économie de Paris (Postprint) halshs-01053609, HAL.
    8. 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.
    9. Liu, Jinzhuo & Meng, Haoran & Wang, Wei & Li, Tong & Yu, Yong, 2018. "Synergy punishment promotes cooperation in spatial public good game," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 214-218.
    10. 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.
    11. Zhang, Haifeng & Small, Michael & Yang, Hanxin & Wang, Binghong, 2010. "Adjusting learning motivation to promote cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4734-4739.
    12. Akihiro Nishi & Hirokazu Shirado & David G. Rand & Nicholas A. Christakis, 2015. "Inequality and visibility of wealth in experimental social networks," Nature, Nature, vol. 526(7573), pages 426-429, October.
    13. Chunpeng Du & Danyang Jia & Libin Jin & Lei Shi, 2018. "The impact of neutral reward on cooperation in public good game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-6, October.
    14. Hauser, Oliver P. & Kraft-Todd, Gordon T. & Rand, David G. & Nowak, Martin A. & Norton, Michael I., 2021. "Invisible inequality leads to punishing the poor and rewarding the rich," Behavioural Public Policy, Cambridge University Press, vol. 5(3), pages 333-353, July.
    15. Oliver P. Hauser & Christian Hilbe & Krishnendu Chatterjee & Martin A. Nowak, 2019. "Social dilemmas among unequals," Nature, Nature, vol. 572(7770), pages 524-527, August.
    16. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    17. repec:hal:pseose:halshs-01053609 is not listed on IDEAS
    18. Shen, Chen & Lu, Jun & Shi, Lei, 2016. "Does coevolution setup promote cooperation in spatial prisoner's dilemma game?," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 201-207.
    19. Chu, Chen & Zhai, Yao & Mu, Chunjiang & Hu, Die & Li, Tong & Shi, Lei, 2019. "Reputation-based popularity promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    20. 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.
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    3. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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    6. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    7. Shi, Juan & Liu, Xucheng & Li, Jiqin & Shu, Youqi & Wang, Zhen & Liu, Jinzhuo, 2023. "The role of Far-Sighted agents on the evolution of cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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