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Contribution inequality in the spatial public goods game: Should the rich contribute more?

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  • Tu, Jing

Abstract

Scale-free property exists in resource distribution, and the rich pay more in public goods is commonplace in reality. What will happen if the rich are expected to contribute more in the spatial public goods game? This paper therefore proposes a new contribution paradigm, in which individual contribution is determined by his payoff in the last evolution step. Tunable parameter w is used to characterize the contribution rate of nodes whose payoff is larger than the average. The results of simulations reveal that the impact of w on cooperation is associated with the enhancement factor r. When r is low, the higher w is, the lower the cooperation rate is. With the increment of r, the value of w to optimize cooperation rate increases with r. The relationship of cooperation rate and wealth on the network has also been investigated. Interestingly, higher cooperation rate does not always lead to higher wealth. Finally, the impact of w on the wealth distribution on the network is explored. The higher w reduces the inequality in wealth distribution by the shrinking of lower-class, which is enhanced by a higher r.

Suggested Citation

  • Tu, Jing, 2018. "Contribution inequality in the spatial public goods game: Should the rich contribute more?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 9-14.
  • Handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:9-14
    DOI: 10.1016/j.physa.2017.12.114
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    References listed on IDEAS

    as
    1. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    2. Liu, Penghui & Liu, Jing, 2017. "Contribution diversity and incremental learning promote cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 827-838.
    3. 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.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. Gao, Jia & Li, Zhi & Wu, Te & Wang, Long, 2010. "Diversity of contribution promotes cooperation in public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3166-3171.
    6. Ernst Fehr & Bettina Rockenbach, 2003. "Detrimental effects of sanctions on human altruism," Nature, Nature, vol. 422(6928), pages 137-140, March.
    7. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    8. 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.
    9. 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.
    10. Song, Qi-Qing & Li, Zhen-Peng & Fu, Chang-He & Wang, Lai-Sheng, 2011. "Optional contributions have positive effects for volunteering public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4236-4243.
    11. Allen, James M. & Hoyle, Rebecca B., 2017. "Asynchronous updates can promote the evolution of cooperation on multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 607-619.
    12. Teng, Xian & Yan, Shu & Tang, Shaoting & Pei, Sen & Li, Weihua & Zheng, Zhiming, 2014. "Individual behavior and social wealth in the spatial public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 141-149.
    13. 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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