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Generosity in public goods game with the aspiration-driven rule

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  • Lv, Shaojie
  • Zhao, Changheng
  • Li, Jiaying

Abstract

In nature and society, individuals cannot perceive their environment and make choices without errors. These error-driven perceptual and decision making processes can result in unintended defective behaviors that undermine reciprocity. However, generosity can promote cooperation by tolerating unintended defection. Meanwhile, widespread self-learning phenomena such as aspiration-driven behaviors do not require external information, thereby avoiding the perception errors when obtaining information from others. Therefore, a Markov process combining generosity and aspiration-driven behaviors is proposed in the present study. For weak intensity of aspiration ω, the closed-form expression for the average abundance of cooperators is derived. We also investigate the case of strong ω by numerical analysis. The results show that the average abundance of cooperators decreases with the increase of ω for low aspiration level. For high aspiration levels, the average abundance of cooperation is a non-monotonic function of ω. The generosity is thus conducive to the evolution of cooperation. Under strong intensity of aspiration ω, the generosity can significantly promote cooperation when aspiration levels are high.

Suggested Citation

  • Lv, Shaojie & Zhao, Changheng & Li, Jiaying, 2022. "Generosity in public goods game with the aspiration-driven rule," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
  • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010153
    DOI: 10.1016/j.chaos.2022.112836
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    References listed on IDEAS

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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. Fernando Vega-Redondo & Frédéric Palomino, 1999. "Convergence of aspirations and (partial) cooperation in the prisoner's dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 465-488.
    3. 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.
    4. 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.
    5. Robert Boyd & Sarah Mathew, 2021. "Arbitration supports reciprocity when there are frequent perception errors," Nature Human Behaviour, Nature, vol. 5(5), pages 596-603, May.
    6. 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.
    7. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, April.
    8. Lei Zhou & Bin Wu & Jinming Du & Long Wang, 2021. "Aspiration dynamics generate robust predictions in heterogeneous populations," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    9. Yang, Han-Xin & Rong, Zhihai & Lu, Pei-Min & Zeng, Yong-Zhi, 2012. "Effects of aspiration on public cooperation in structured populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 4043-4049.
    10. repec:hhs:iuiwop:487 is not listed on IDEAS
    11. Andrew M. Colman, 2006. "The puzzle of cooperation," Nature, Nature, vol. 440(7085), pages 744-745, April.
    12. Chu, Chen & Cui, Simin & Yuan, Zheng & Yu, Chunbin, 2022. "A win-stay-lose-learn mechanism based on aspiration can promote cooperation in a multigame," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    13. Joshua Zukewich & Venu Kurella & Michael Doebeli & Christoph Hauert, 2013. "Consolidating Birth-Death and Death-Birth Processes in Structured Populations," PLOS ONE, Public Library of Science, vol. 8(1), pages 1-7, January.
    14. Takuya Sekiguchi & Hisashi Ohtsuki, 2017. "Fixation Probabilities of Strategies for Bimatrix Games in Finite Populations," Dynamic Games and Applications, Springer, vol. 7(1), pages 93-111, March.
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    Cited by:

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    2. Kang, Hongwei & Li, Zhekang & Shen, Yong & Huang, Zhiyuan & Sun, Xingping & Chen, Qingyi, 2024. "From eligibility to suitability: Regulation and restriction of reputation-based access system on free-riding behavior in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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