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The evolution of cooperation in spatial public goods games under a risk-transfer mechanism

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  • Ding, Rui
  • Wang, Xianjia
  • Zhao, Jinhua
  • Gu, Cuiling
  • Wang, Tao

Abstract

An interest coalition of sharing benefits and risks, such as cross shareholding between companies, allows them to transfer risks in a competitive business world. In a public goods game, cooperators are at the risk of being exploited by defectors. This paper studies whether such risk-transfer mechanism can induce cooperative behaviors in social dilemmas. We model a public goods game with coalition mechanism in a structured population. The players are categorized by whether they cooperate as well as whether they are willing to form coalitions. Those who are willing (unwilling) to form coalitions with others are called coalitional (traditional) individuals. By exploring the phase transitions of systems, the spatial dynamics of some phases and the evolution of characteristic spatial distributions of strategies, we study the effect of this mechanism on cooperation. The results show that the positive (negative) impact of such interest coalitions on the competitiveness of cooperators (defectors) can be improved as the closeness of interest relationship within coalitions increases. However, this does not mean that a closer coalition can absolutely increase the overall level of cooperation in a more complex four-strategy system. This is related to the transformation from CCs (coalitional cooperators) to TDs (traditional defectors) due to CCs' breaking of the encirclement formed by CDs (coalitional defectors) at a low synergy coefficient, as well as the invasion of TCs (traditional cooperators) to CCs at the boundary separating CCs, TCs and TDs at a high synergy coefficient.

Suggested Citation

  • Ding, Rui & Wang, Xianjia & Zhao, Jinhua & Gu, Cuiling & Wang, Tao, 2023. "The evolution of cooperation in spatial public goods games under a risk-transfer mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001376
    DOI: 10.1016/j.chaos.2023.113236
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    1. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. 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).
    3. Brooks, Chris & Chen, Zhong & Zeng, Yeqin, 2018. "Institutional cross-ownership and corporate strategy: The case of mergers and acquisitions," Journal of Corporate Finance, Elsevier, vol. 48(C), pages 187-216.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    6. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman, 2021. "The rise and fall of donation behavior through reputation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    7. 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.
    8. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    9. Kewei Hou, 2007. "Industry Information Diffusion and the Lead-lag Effect in Stock Returns," Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1113-1138.
    10. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    11. Osano, Hiroshi, 1996. "Intercorporate shareholdings and corporate control in the Japanese firm," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 1047-1068, July.
    12. Jie (Jack) He & Jiekun Huang, 2017. "Product Market Competition in a World of Cross-Ownership: Evidence from Institutional Blockholdings," Review of Financial Studies, Society for Financial Studies, vol. 30(8), pages 2674-2718.
    13. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    14. 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.
    15. 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.
    16. 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.
    17. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
    18. Dirk Semmann & Hans-Jürgen Krambeck & Manfred Milinski, 2003. "Volunteering leads to rock–paper–scissors dynamics in a public goods game," Nature, Nature, vol. 425(6956), pages 390-393, September.
    19. Chen, Jiguang & Hu, Qiying & Song, Jing-Sheng, 2017. "Effect of partial cross ownership on supply chain performance," European Journal of Operational Research, Elsevier, vol. 258(2), pages 525-536.
    20. Dietzenbacher, Erik & Smid, Bert & Volkerink, Bjorn, 2000. "Horizontal integration in the Dutch financial sector," International Journal of Industrial Organization, Elsevier, vol. 18(8), pages 1223-1242, December.
    21. 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.
    22. Sheard, Paul, 1989. "The main bank system and corporate monitoring and control in Japan," Journal of Economic Behavior & Organization, Elsevier, vol. 11(3), pages 399-422, May.
    23. Park, Junpyo & Chen, Xiaojie & Szolnoki, Attila, 2023. "Competition of alliances in a cyclically dominant eight-species population," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    24. Randall Morck & Masao Nakamura, 1999. "Banks and Corporate Control in Japan," Journal of Finance, American Finance Association, vol. 54(1), pages 319-339, February.
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