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Novel payoff calculation resolves social dilemmas in networks

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  • Han, Zhen
  • Zhu, Peican
  • Shi, Juan

Abstract

Standing in others’ shoes is usually describing the phenomenon that individuals switch their position and think about others’ benefits. This common saying can also stimulate the cooperation behavior, no matter in natural system or human society. In fact, Scholars have conducted abundant of researches to explore human behaviors in evolutionary game theory to discover how to improve cooperation among individualist. Results clearly showed that players can achieve the highest payoff when they choose cooperation strategy. However, selfishness among individuals results in that cooperation is not guaranteed every time, and how to improve cooperative behavior still remains a challenge in literature. Nevertheless, we analyzed the notion of “Standing in others’ shoes” through mathematical method, and analyzed this idea by introducing evolutionary game theory. The results indicate that the cooperation can be promoted significantly when players take opponents’ payoff into account. Here, a parameter of u was introduced into the simulation process representing when different strategies are applied by the focal player x and its neighbor, the focal player x will calculate its own payoff at possibilities u, and with the possibilities of 1−u considering its neighbor yi’s payoff. The Monte Carlo simulation is conducted on spatial-lattice network, BA scale-free network and small-world network respectively. The results reveal that the frequency of cooperation can be improved dramatically when parameter u reached a certain threshold.

Suggested Citation

  • Han, Zhen & Zhu, Peican & Shi, Juan, 2023. "Novel payoff calculation resolves social dilemmas in networks," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922010736
    DOI: 10.1016/j.chaos.2022.112894
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    References listed on IDEAS

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    1. Chen Chu & Jinzhuo Liu & Chen Shen & Jiahua Jin & Lei Shi, 2017. "Win-stay-lose-learn promotes cooperation in the prisoner’s dilemma game with voluntary participation," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-8, February.
    2. Wang, Mie & Kang, HongWei & Shen, Yong & Sun, XingPing & Chen, QingYi, 2021. "The role of alliance cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    4. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    5. F. Fu & L.-H. Liu & L. Wang, 2007. "Evolutionary Prisoner's Dilemma on heterogeneous Newman-Watts small-world network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(4), pages 367-372, April.
    6. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    7. Chen, Ya-Shan & Lin, Hai & Wu, Chen-Xu, 2007. "Evolution of prisoner's dilemma strategies on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 379-384.
    8. Ali R. Zomorrodi & Daniel Segrè, 2017. "Genome-driven evolutionary game theory helps understand the rise of metabolic interdependencies in microbial communities," Nature Communications, Nature, vol. 8(1), pages 1-12, December.
    9. Jeff Gore & Hyun Youk & Alexander van Oudenaarden, 2009. "Snowdrift game dynamics and facultative cheating in yeast," Nature, Nature, vol. 459(7244), pages 253-256, May.
    10. Henry H. Lee & Michael N. Molla & Charles R. Cantor & James J. Collins, 2010. "Bacterial charity work leads to population-wide resistance," Nature, Nature, vol. 467(7311), pages 82-85, September.
    11. Nuno Garoupa & Joao Gata, 1999. "An evolutionary game theoretical approach to the theory of international regimes," Defence and Peace Economics, Taylor & Francis Journals, vol. 10(3), pages 225-246.
    12. Redouan Bshary & Alexandra S. Grutter, 2006. "Image scoring and cooperation in a cleaner fish mutualism," Nature, Nature, vol. 441(7096), pages 975-978, June.
    13. Zhi-Hai Rong & Qian Zhao & Zhi-Xi Wu & Tao Zhou & Chi Kong Tse, 2016. "Proper aspiration level promotes generous behavior in the spatial prisoner’s dilemma game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(7), pages 1-7, July.
    14. Wu-Jie Yuan & Cheng-Yi Xia, 2014. "Role of Investment Heterogeneity in the Cooperation on Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-6, March.
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