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Cooperation in Social Dilemmas: A Group Game Model with Double-Layer Networks

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  • Dongwei Guo

    (College of Computer Science and Technology, Jilin University, Changchun 130012, China)

  • Mengmeng Fu

    (College of Computer Science and Technology, Jilin University, Changchun 130012, China)

  • Hai Li

    (College of Computer Science and Technology, Jilin University, Changchun 130012, China)

Abstract

The combination of complex networks and game theory is one of the most suitable ways to describe the evolutionary laws of various complex systems. In order to explore the evolution of group cooperation in multiple social dilemmas, a model of a group game with a double-layer network is proposed here. Firstly, to simulate a multiplayer game under multiple identities, we combine a double-layer network and public goods game. Secondly, in order to make an individual’s strategy selection process more in line with a practical context, a new strategy learning method that incorporates individual attributes is designed here, referred to as a “public goods game with selection preferences” (PGG-SP), which makes strategic choices that are more humane and diversified. Finally, a co-evolution mechanism for strategies and topologies is introduced based on the double-layer network, which effectively explains the dynamic game process in real life. To verify the role of multiple double-layer networks with a PGG-SP, four types of double-layer networks are applied in this paper. In addition, the corresponding game results are compared between single-layer, double-layer, static, and dynamic networks. Accordingly, the results show that double-layer networks can facilitate cooperation in group games.

Suggested Citation

  • Dongwei Guo & Mengmeng Fu & Hai Li, 2021. "Cooperation in Social Dilemmas: A Group Game Model with Double-Layer Networks," Future Internet, MDPI, vol. 13(2), pages 1-27, January.
  • Handle: RePEc:gam:jftint:v:13:y:2021:i:2:p:33-:d:488146
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Galbiati, Roberto & Vertova, Pietro, 2008. "Obligations and cooperative behaviour in public good games," Games and Economic Behavior, Elsevier, vol. 64(1), pages 146-170, September.
    3. Sarkar, Bijan, 2018. "Moran-evolution of cooperation: From well-mixed to heterogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 497(C), pages 319-334.
    4. Zhang, Baojian & Cui, Zeguang & Yue, Xiaohang, 2019. "Cluster evolution in public goods game with fairness mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    5. Ranjay Gulati & Maxim Sytch & Adam Tatarynowicz, 2012. "The Rise and Fall of Small Worlds: Exploring the Dynamics of Social Structure," Organization Science, INFORMS, vol. 23(2), pages 449-471, April.
    6. Quan, Ji & Yang, Wenjun & Li, Xia & Wang, Xianjia & Yang, Jian-Bo, 2020. "Social exclusion with dynamic cost on the evolution of cooperation in spatial public goods games," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    7. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    8. Wang, Chenxu & Wang, Gaoshuai & Luo, Xiapu & Li, Hui, 2019. "Modeling rumor propagation and mitigation across multiple social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    9. repec:hal:spmain:info:hdl:2441/2k2jnd64aa9g19nja481vjohq3 is not listed on IDEAS
    10. Duncan J. Watts & Steven H. Strogatz, 1998. "Collective dynamics of ‘small-world’ networks," Nature, Nature, vol. 393(6684), pages 440-442, June.
    11. Büyükboyacı, Mürüvvet, 2014. "Risk attitudes and the stag-hunt game," Economics Letters, Elsevier, vol. 124(3), pages 323-325.
    12. Andrea Guazzini & Mirko Duradoni & Alessandro Lazzeri & Giorgio Gronchi, 2018. "Simulating the Cost of Cooperation: A Recipe for Collaborative Problem-Solving," Future Internet, MDPI, vol. 10(6), pages 1-17, June.
    13. Zhang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Yan, Ming & Xie, Yunya, 2018. "Tolerance-based punishment and cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 267-272.
    14. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    15. Li, Yixiao & Shen, Bin, 2013. "The coevolution of partner switching and strategy updating in non-excludable public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4956-4965.
    16. Xuli Rao & Jiaxu Zhao & Zhide Chen & Feng Lin, 2019. "Substitute Seed Nodes Mining Algorithms for Influence Maximization in Multi-Social Networks," Future Internet, MDPI, vol. 11(5), pages 1-13, May.
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