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A public goods game model under environmental impact benefits

Author

Listed:
  • Yuan, Ye
  • Luo, Yan
  • Pan, Qiuhui
  • Gao, Liyan
  • He, Mingfeng

Abstract

It is well known that in a typical economic environment, the investment environment influences returns, and returns in turn shape investment behavior. In this public goods game model, the number of cooperating individuals represents the environment. Considers two ways in which the environment impacts returns: a good environment can attract investments, thereby increasing returns and a good environment can lead to saturation, causing investors to leave and reducing returns. In both scenarios, the paper explores the evolution of cooperation. The results show that when the environment enhances returns, it can effectively promote cooperation, although the extent of this enhancement has little impact on the level of cooperation. Conversely, when the environment diminishes returns, it inhibits cooperation, and the greater the reduction, the more the level of cooperation decreases. Additionally, the stricter the criteria for defining a good or bad environment, the higher the level of cooperation in both scenarios.

Suggested Citation

  • Yuan, Ye & Luo, Yan & Pan, Qiuhui & Gao, Liyan & He, Mingfeng, 2025. "A public goods game model under environmental impact benefits," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
  • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925010574
    DOI: 10.1016/j.chaos.2025.117044
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    References listed on IDEAS

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    1. Xiaojie Chen & Yongkui Liu & Yonghui Zhou & Long Wang & Matjaž Perc, 2012. "Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-8, May.
    2. Zhang, Gui & Xiong, Xiaojin & Pi, Bin & Feng, Minyu & Perc, Matjaž, 2025. "Spatial public goods games with queueing and reputation," Applied Mathematics and Computation, Elsevier, vol. 505(C).
    3. Kuiying Deng & Tianguang Chu, 2011. "Adaptive Evolution of Cooperation through Darwinian Dynamics in Public Goods Games," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-9, October.
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Riko Stevens, 2023. "The Theory of Speculation in the Marshallian Tradition: Marshall, Pigou, Lavington, and Keynes on the Microeconomics of Speculation," History of Economics Review, Taylor & Francis Journals, vol. 86(1), pages 65-70, September.
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