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Evolutionary games with environmental feedbacks under an external incentive mechanism

Author

Listed:
  • Ding, Rui
  • Wang, Xianjia
  • Liu, Yang
  • Zhao, Jinhua
  • Gu, Cuiling

Abstract

Compared with the mandatory personal carbon trading, mechanisms that encourage individuals to voluntarily participate in carbon emission reduction are more easily accepted, such as the CGSP (Carbon Generalized System of Preferences) project in Guangdong Province, China. Carbon emission reduction, as a joint effort of multiple generations, involves interest conflicts between individuals and groups in one single generation, as well as multigenerational conflicts. By establishing the interaction between local environmental quality and individual returns, we build a public goods game with environmental feedback to simulate ecological and social coevolution. In this game with the CGSP mechanism, cooperators who reduce carbon emissions receive carbon credits, with which they can exchange for welfare funds to invest in environmental protection (denoted as AC) or for goods to improve their personal payoffs (BC). Individuals who do not contribute anything to improve the environment are called defectors (D). To study the impact of CGSP as an external incentive mechanism on cooperation, we explore the stationary states of three systems. In addition, we study the mechanisms behind some phases and phase transitions by monitoring the spatial distribution of strategies and the environmental quality of each region. The results show that a higher subsidy is not always better, whether cooperators exchange carbon credits for goods or welfare funds. Furthermore, ACs can effectively improve the spatial competitiveness of BC clusters, but BCs as ‘second-order free-riders’ can inhibit the spread of ACs. Indirect territorial competition between two types of cooperators can solve such a ‘second-order social dilemma’.

Suggested Citation

  • Ding, Rui & Wang, Xianjia & Liu, Yang & Zhao, Jinhua & Gu, Cuiling, 2023. "Evolutionary games with environmental feedbacks under an external incentive mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
  • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923002199
    DOI: 10.1016/j.chaos.2023.113318
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    References listed on IDEAS

    as
    1. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman & Gu, Cuiling, 2022. "Competition of punishment and reward among inequity-averse individuals in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Jennifer Jacquet & Kristin Hagel & Christoph Hauert & Jochem Marotzke & Torsten Röhl & Manfred Milinski, 2013. "Intra- and intergenerational discounting in the climate game," Nature Climate Change, Nature, vol. 3(12), pages 1025-1028, December.
    3. Karthik Panchanathan & Robert Boyd, 2004. "Indirect reciprocity can stabilize cooperation without the second-order free rider problem," Nature, Nature, vol. 432(7016), pages 499-502, November.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. Alessandro Tavoni & Astrid Dannenberg & Giorgos Kallis & Andreas L�schel, 2011. "Inequality, communication and the avoidance of disastrous climate change," GRI Working Papers 34, Grantham Research Institute on Climate Change and the Environment.
    6. Maria Abou Chakra & Arne Traulsen, 2012. "Evolutionary Dynamics of Strategic Behavior in a Collective-Risk Dilemma," PLOS Computational Biology, Public Library of Science, vol. 8(8), pages 1-7, August.
    7. Vítor V. Vasconcelos & Francisco C. Santos & Jorge M. Pacheco, 2013. "A bottom-up institutional approach to cooperative governance of risky commons," Nature Climate Change, Nature, vol. 3(9), pages 797-801, September.
    8. Manfred Milinski & Dirk Semmann & Hans-Jürgen Krambeck, 2002. "Reputation helps solve the ‘tragedy of the commons’," Nature, Nature, vol. 415(6870), pages 424-426, January.
    9. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    10. Brajer, Victor & Mead, Robert W. & Xiao, Feng, 2010. "Adjusting Chinese income inequality for environmental equity," Environment and Development Economics, Cambridge University Press, vol. 15(3), pages 341-362, June.
    11. 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.
    12. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    13. Maria Abou Chakra & Silke Bumann & Hanna Schenk & Andreas Oschlies & Arne Traulsen, 2018. "Immediate action is the best strategy when facing uncertain climate change," Nature Communications, Nature, vol. 9(1), pages 1-9, December.
    14. Kelly Sims Gallagher & Fang Zhang & Robbie Orvis & Jeffrey Rissman & Qiang Liu, 2019. "Assessing the Policy gaps for achieving China’s climate targets in the Paris Agreement," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    15. Hisashi Ohtsuki & Yoh Iwasa & Martin A. Nowak, 2009. "Indirect reciprocity provides only a narrow margin of efficiency for costly punishment," Nature, Nature, vol. 457(7225), pages 79-82, January.
    16. Oliver P. Hauser & David G. Rand & Alexander Peysakhovich & Martin A. Nowak, 2014. "Cooperating with the future," Nature, Nature, vol. 511(7508), pages 220-223, July.
    17. Jörg Gross & Carsten K. W. Dreu, 2019. "The rise and fall of cooperation through reputation and group polarization," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    18. Simon Gachter & Ernst Fehr, 2000. "Cooperation and Punishment in Public Goods Experiments," American Economic Review, American Economic Association, vol. 90(4), pages 980-994, September.
    19. Dirk Helbing & Attila Szolnoki & Matjaž Perc & György Szabó, 2010. "Evolutionary Establishment of Moral and Double Moral Standards through Spatial Interactions," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-9, April.
    20. Ananish Chaudhuri, 2011. "Sustaining cooperation in laboratory public goods experiments: a selective survey of the literature," Experimental Economics, Springer;Economic Science Association, vol. 14(1), pages 47-83, March.
    21. Andrew R. Tilman & Joshua B. Plotkin & Erol Akçay, 2020. "Evolutionary games with environmental feedbacks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    22. Barrett, Scott, 2013. "Climate treaties and approaching catastrophes," Journal of Environmental Economics and Management, Elsevier, vol. 66(2), pages 235-250.
    23. Fawcett, Tina, 2010. "Personal carbon trading: A policy ahead of its time?," Energy Policy, Elsevier, vol. 38(11), pages 6868-6876, November.
    24. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Gu, Cuiling, 2022. "The rise and fall of cooperation in populations with multiple groups," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    25. Reuben Kline & Nicholas Seltzer & Evgeniya Lukinova & Autumn Bynum, 2018. "Differentiated responsibilities and prosocial behaviour in climate change mitigation," Nature Human Behaviour, Nature, vol. 2(9), pages 653-661, September.
    26. Manfred Milinski & Torsten Röhl & Jochem Marotzke, 2011. "Cooperative interaction of rich and poor can be catalyzed by intermediate climate targets," Climatic Change, Springer, vol. 109(3), pages 807-814, December.
    27. 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.
    28. Xiaojie Chen & Attila Szolnoki, 2018. "Punishment and inspection for governing the commons in a feedback-evolving game," PLOS Computational Biology, Public Library of Science, vol. 14(7), pages 1-15, July.
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