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The emergence and implementation of pool exclusion in spatial public goods game with heterogeneous ability-to-pay

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  • Zheng, Junjun
  • Ren, Tianyu
  • Ma, Gang
  • Dong, Jinhui

Abstract

Exploring the conditions and mechanisms for the emergence of cooperation in human society has important theoretical and practical significance. Social exclusion has been considered a powerful sanction for promoting and sustaining cooperation. However, whether the heterogeneity of the ability-to-pay of individuals can still favor cooperation when exclusion is introduced remains unclear. On the basis of this consideration, the dynamic cost of pool exclusion is taken into account in the public goods game, which focuses on the evolution process of each strategy in a square lattice. Specifically, we describe the cost of exclusion behavior as a function of payoff, while the probability of exclusion depends on the former. Through conducting Monte Carlo simulations, the effects of parameters on the evolution of cooperation are investigated. The results indicate that pool exclusion can promote cooperative behaviors within a wide range of parameters. Moreover, structured populations can form an effective alliance to sweep out defection, which requires a few excluders. This alliance continues to function even under strong dilemma strength. We further confirm that overinvestment in exclusion is unwanted. These results may help researchers better understand the emergence and implementation of social exclusion, and provide new insight into the analysis of the origin of cooperation for further exploration.

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  • Zheng, Junjun & Ren, Tianyu & Ma, Gang & Dong, Jinhui, 2021. "The emergence and implementation of pool exclusion in spatial public goods game with heterogeneous ability-to-pay," Applied Mathematics and Computation, Elsevier, vol. 394(C).
  • Handle: RePEc:eee:apmaco:v:394:y:2021:i:c:s0096300320307888
    DOI: 10.1016/j.amc.2020.125835
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    1. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
    2. Choi, Jung-Kyoo & Ahn, T.K., 2013. "Strategic reward and altruistic punishment support cooperation in a public goods game experiment," Journal of Economic Psychology, Elsevier, vol. 35(C), pages 17-30.
    3. Quan, Ji & Zheng, Junjun & Wang, Xianjia & Yang, Xiukang, 2019. "The effect of increasing returns to scale in public goods investment on threshold values of cooperation under social exclusion mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 532(C).
    4. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    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. Berger, Ulrich & Grüne, Ansgar, 2016. "On the stability of cooperation under indirect reciprocity with first-order information," Games and Economic Behavior, Elsevier, vol. 98(C), pages 19-33.
    7. 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.
    8. Bryan McCannon, 2007. "Rock Paper Scissors," Journal of Economics, Springer, vol. 92(1), pages 67-88, September.
    9. Uchida, Satoshi & Sasaki, Tatsuya, 2013. "Effect of assessment error and private information on stern-judging in indirect reciprocity," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 175-180.
    10. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    11. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    12. Zhenhua Pei & Baokui Wang & Jinming Du, 2016. "Effects of income redistribution on the evolution of cooperation in spatial public goods games," Papers 1611.01531, arXiv.org.
    13. K. M. Ariful Kabir & Jun Tanimoto & Zhen Wang, 2018. "Influence of bolstering network reciprocity in the evolutionary spatial Prisoner’s Dilemma game: a perspective," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-10, December.
    14. Reuben, Ernesto & Riedl, Arno, 2013. "Enforcement of contribution norms in public good games with heterogeneous populations," Games and Economic Behavior, Elsevier, vol. 77(1), pages 122-137.
    15. 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.
    16. Nikos Nikiforakis & Hans-Theo Normann & Brian Wallace, 2010. "Asymmetric Enforcement of Cooperation in a Social Dilemma," Southern Economic Journal, John Wiley & Sons, vol. 76(3), pages 638-659, January.
    17. Tatsuya Sasaki & Isamu Okada & Satoshi Uchida & Xiaojie Chen, 2015. "Commitment to Cooperation and Peer Punishment: Its Evolution," Games, MDPI, vol. 6(4), pages 1-14, November.
    18. 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).
    19. Andreoni, James & Gee, Laura K., 2012. "Gun for hire: Delegated enforcement and peer punishment in public goods provision," Journal of Public Economics, Elsevier, vol. 96(11), pages 1036-1046.
    20. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    21. Klaus Abbink & Lata Gangadharan & Toby Handfield & John Thrasher, 2017. "Peer punishment promotes enforcement of bad social norms," Nature Communications, Nature, vol. 8(1), pages 1-8, December.
    22. Chunpeng Du & Danyang Jia & Libin Jin & Lei Shi, 2018. "The impact of neutral reward on cooperation in public good game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-6, October.
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