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Critical thresholds of benefit distribution in an extended snowdrift game model

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  • Li, Bin-Quan
  • Wu, Zhi-Xi
  • Guan, Jian-Yue

Abstract

Social inequality takes many forms, but its most basic form is that individuals give the least and get the most in return. In this paper, we introduce an extended model based on the snowdrift game model, involving the concept of inequality (unequal distribution of benefit). We calculated the critical threshold for the benefits distribution under the dominant cooperative strategy through numerical simulation and theoretical analysis. We illustrate the similarities and differences in the evolution of cooperation with and without incentives and punishments. Both theoretical and simulation results show that within the limited resource range, the larger the resource is, the larger the critical proportion of benefits that defectors can exploit, whether in unstructured or structured population. We also show that the inequality is stronger in social structures with sparse connections and weaker in those with dense connections. Moreover, we revealed that introducing incentives and punishments makes it harder for cooperators to get a fair share of the profits.

Suggested Citation

  • Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001588
    DOI: 10.1016/j.chaos.2022.111948
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    1. Benjamin Allen & Gabor Lippner & Yu-Ting Chen & Babak Fotouhi & Naghmeh Momeni & Shing-Tung Yau & Martin A. Nowak, 2017. "Evolutionary dynamics on any population structure," Nature, Nature, vol. 544(7649), pages 227-230, April.
    2. Mao, Yajun & Rong, Zhihai & Wu, Zhi-Xi, 2021. "Effect of collective influence on the evolution of cooperation in evolutionary prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    3. Erez Lieberman & Christoph Hauert & Martin A. Nowak, 2005. "Evolutionary dynamics on graphs," Nature, Nature, vol. 433(7023), pages 312-316, January.
    4. Zhang, Yanling & Chen, Xiaojie & Liu, Aizhi & Sun, Changyin, 2018. "The effect of the stake size on the evolution of fairness," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 641-653.
    5. Oliver P. Hauser & Christian Hilbe & Krishnendu Chatterjee & Martin A. Nowak, 2019. "Social dilemmas among unequals," Nature, Nature, vol. 572(7770), pages 524-527, August.
    6. Aming Li & Lei Zhou & Qi Su & Sean P. Cornelius & Yang-Yu Liu & Long Wang & Simon A. Levin, 2020. "Evolution of cooperation on temporal networks," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    7. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Dynamical behaviors for vaccination can suppress infectious disease – A game theoretical approach," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 229-239.
    8. 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.
    9. Qi Su & Lei Zhou & Long Wang, 2019. "Evolutionary multiplayer games on graphs with edge diversity," PLOS Computational Biology, Public Library of Science, vol. 15(4), pages 1-22, April.
    10. Alam, Muntasir & Nagashima, Keisuke & Tanimoto, Jun, 2018. "Various error settings bring different noise-driven effects on network reciprocity in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 338-346.
    11. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    12. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    13. 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.
    14. Mobilia, Mauro, 2013. "Evolutionary games with facilitators: When does selection favor cooperation?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 113-123.
    15. Ohad Lewin-Epstein & Ranit Aharonov & Lilach Hadany, 2017. "Microbes can help explain the evolution of host altruism," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
    16. Yang, Han-Xin & Chen, Xiaojie, 2018. "Promoting cooperation by punishing minority," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 460-466.
    17. Christina Riehl & Meghan J. Strong, 2019. "Social parasitism as an alternative reproductive tactic in a cooperatively breeding cuckoo," Nature, Nature, vol. 567(7746), pages 96-99, March.
    18. Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2018. "Evolution of cooperation in stochastic games," Nature, Nature, vol. 559(7713), pages 246-249, July.
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