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The evolution of cooperation affected by aspiration-driven updating rule in multi-games with voluntary participation

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  • Zhang, Jun
  • Hu, Bin
  • Huang, Yi Jie
  • Deng, Zheng Hong
  • Wu, Tao

Abstract

We have demonstrated multi-games with voluntary participation can promote cooperation and found aspiration-driven updating rule can also facilitate cooperation to some degree. Stimulated by these, we combine the two mechanisms and investigate the evolution of cooperation. In our work, the population is randomly divided into two types, one type players play the PDG, while the other type players play SG. At the same time, a part of players randomly select to use the aspiration-driven updating rule, and the other part of players choose to use the Fermi-function based strategy adoption rule. Besides, players have three strategies - cooperation, defection and going it alone- to choose. We reveal that both the diversity of sucker's payoff and updating strategy can facilitate cooperation to some degree. Moreover, larger magnitude of sucker's payoff and less players using the aspiration-driven rule can improve cooperation resulting from spatial distribution of strategies. And players playing SG play a more important role to enhance cooperation than players playing PDG, which is due to the special network reciprocity. Furthermore, the easily satisfied players intend to cooperate, while the greedy players intend to be loners to avoid obtaining nothing.

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  • Zhang, Jun & Hu, Bin & Huang, Yi Jie & Deng, Zheng Hong & Wu, Tao, 2020. "The evolution of cooperation affected by aspiration-driven updating rule in multi-games with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304641
    DOI: 10.1016/j.chaos.2020.110067
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    as
    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Deng, Zhenghong & Huang, Yijie & Gu, Zhiyang & Deng, Zhilong & Xu, Jiwei, 2018. "The evolution of cooperation in spatial multigame with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 41-46.
    3. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multi-games on interdependent networks and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 83-90.
    4. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    5. 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.
    6. Zhen Wang & Lin Wang & Zi-Yu Yin & Cheng-Yi Xia, 2012. "Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    7. Chao Gao & Zhen Wang & Xianghua Li & Zili Zhang & Wei Zeng, 2016. "PR-Index: Using the h-Index and PageRank for Determining True Impact," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-13, September.
    8. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    9. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    10. 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.
    11. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    12. Li, Xianghua & Wang, Zhen & Gao, Chao & Shi, Lei, 2017. "Reasoning human emotional responses from large-scale social and public media," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 182-193.
    13. Li, Xiaopeng & Sun, Shiwen & Xia, Chengyi, 2019. "Reputation-based adaptive adjustment of link weight among individuals promotes the cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 810-820.
    14. 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.
    15. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Li-Gao,, 2018. "Multigames with social punishment and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 164-170.
    16. 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.
    17. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multigames with voluntary participation on interdependent networks and the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 151-157.
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