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Combined effect of pure punishment and reward in the public goods game

Author

Listed:
  • Sun, Xingping
  • Li, Mingyuan
  • Kang, Hongwei
  • Shen, Yong
  • Chen, Qingyi

Abstract

The evolution of cooperation in public goods games based on the evolutionary game theory has been widely studied to obtain potential solutions to social dilemmas. In addition, as the main factors of human cooperation, reward and punishment have also been widely studied. In this paper, the manipulators are introduced into the game. It is assumed that manipulators both reward cooperators and punish pure defectors, but do not contribute to the common pool. The evolution of manipulators with cooperators and defectors is analyzed on a square lattice. The results show that the combination of pure punishment and reward is effective in maintaining cooperation. Moreover, for any synergy factor, there is a wide range of parameters that allow for the coexistence of manipulators and cooperators.

Suggested Citation

  • Sun, Xingping & Li, Mingyuan & Kang, Hongwei & Shen, Yong & Chen, Qingyi, 2023. "Combined effect of pure punishment and reward in the public goods game," Applied Mathematics and Computation, Elsevier, vol. 445(C).
  • Handle: RePEc:eee:apmaco:v:445:y:2023:i:c:s009630032300022x
    DOI: 10.1016/j.amc.2023.127853
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    References listed on IDEAS

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    1. Dawes, Robyn M & Thaler, Richard H, 1988. "Anomalies: Cooperation," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 187-197, Summer.
    2. Martin Sefton & Robert Shupp & James M. Walker, 2007. "The Effect Of Rewards And Sanctions In Provision Of Public Goods," Economic Inquiry, Western Economic Association International, vol. 45(4), pages 671-690, October.
    3. Li, MingYuan & Kang, HongWei & Sun, XingPing & Shen, Yong & Chen, QingYi, 2022. "Replicator dynamics of public goods game with tax-based punishment," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Chun-Lei Yang & Boyu Zhang & Gary Charness & Cong Li & Jaimie W. Lien, 2018. "Endogenous rewards promote cooperation," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 115(40), pages 9968-9973, October.
    5. Hongwei Kang & Mie Wang & Yong Shen & Xingping Sun & Qingyi Chen, 2021. "Trust-based partner switching among partitioned regions promotes cooperation in public goods game," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-17, June.
    6. James M. Walker & Matthew A. Halloran, 2004. "Rewards and Sanctions and the Provision of Public Goods in One-Shot Settings," Experimental Economics, Springer;Economic Science Association, vol. 7(3), pages 235-247, October.
    7. Wang, Mie & Kang, HongWei & Shen, Yong & Sun, XingPing & Chen, QingYi, 2021. "The role of alliance cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    8. 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.
    9. James Andreoni & William Harbaugh & Lise Vesterlund, 2003. "The Carrot or the Stick: Rewards, Punishments, and Cooperation," American Economic Review, American Economic Association, vol. 93(3), pages 893-902, June.
    10. Putterman, Louis & Tyran, Jean-Robert & Kamei, Kenju, 2011. "Public goods and voting on formal sanction schemes," Journal of Public Economics, Elsevier, vol. 95(9-10), pages 1213-1222, October.
    11. Bettina Rockenbach & Manfred Milinski, 2006. "The efficient interaction of indirect reciprocity and costly punishment," Nature, Nature, vol. 444(7120), pages 718-723, December.
    12. 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.
    13. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2022. "Mercenary punishment in structured populations," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    14. David G. Rand & Martin A. Nowak, 2011. "The evolution of antisocial punishment in optional public goods games," Nature Communications, Nature, vol. 2(1), pages 1-7, September.
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    Cited by:

    1. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Shen, Yong & Lei, Wei & Kang, Hongwei & Li, Mingyuan & Sun, Xingping & Chen, Qingyi, 2023. "Evolutionary dynamics of public goods game with tax-based rewarding cooperators," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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