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Stochastically stable equilibria for evolutionary snowdrift games with time costs

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  • Pi, Jinxiu
  • Yang, Guanghui
  • Tang, Wei
  • Yang, Hui

Abstract

In this paper, we first construct a generalized N-person snowdrift game with time costs and assume that defectors have two types of psychological preferences for time costs compared to cooperators. Secondly, using the stochastic replicator equation, we investigate the equilibria for the generalized N-person snowdrift games and obtain a sufficient and necessary condition corresponding to a unique stochastically stable equilibrium. Besides, we perform several numerical simulations and find that theoretical and numerical results are consistent, and the effects of these two psychological preferences on the equilibria are significantly different in systems with a smaller group size and threshold. Finally, through comparative analysis, we confirm that the cooperation can be promoted with the increases of the threshold, the benefits and time costs; conversely, the cooperation can be curbed with increasing the group size and the costs. Interestingly, the influence of the adjustment factor on the final frequency of cooperators is not as drastic as that of the group size and the threshold.

Suggested Citation

  • Pi, Jinxiu & Yang, Guanghui & Tang, Wei & Yang, Hui, 2022. "Stochastically stable equilibria for evolutionary snowdrift games with time costs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    • Handle: RePEc:eee:phsmap:v:604:y:2022:i:c:s0378437122005908
    DOI: 10.1016/j.physa.2022.127927
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    References listed on IDEAS

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    1. Shu, Feng & Li, Min & Liu, Xingwen, 2019. "Memory mechanism with weighting promotes cooperation in the evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 17-24.
    2. Pi, Jinxiu & Yang, Guanghui & Yang, Hui, 2022. "Evolutionary dynamics of cooperation in N-person snowdrift games with peer punishment and individual disguise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 592(C).
    3. Xiaofeng Wang, 2021. "Costly Participation and The Evolution of Cooperation in the Repeated Public Goods Game," Dynamic Games and Applications, Springer, vol. 11(1), pages 161-183, March.
    4. Mark Broom & Jan Rychtář, 2018. "Evolutionary Games with Sequential Decisions and Dollar Auctions," Dynamic Games and Applications, Springer, vol. 8(2), pages 211-231, June.
    5. Zhang, Boyu & An, Xinmiao & Dong, Yali, 2021. "Conditional cooperator enhances institutional punishment in public goods game," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    6. Luo-Luo Jiang & Matjaž Perc & Attila Szolnoki, 2013. "If Cooperation Is Likely Punish Mildly: Insights from Economic Experiments Based on the Snowdrift Game," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-7, May.
    7. Han, The Anh & Traulsen, Arne & Gokhale, Chaitanya S., 2012. "On equilibrium properties of evolutionary multi-player games with random payoff matrices," Theoretical Population Biology, Elsevier, vol. 81(4), pages 264-272.
    8. Manh Hong Duong & Hoang Minh Tran & The Anh Han, 2019. "On the Expected Number of Internal Equilibria in Random Evolutionary Games with Correlated Payoff Matrix," Dynamic Games and Applications, Springer, vol. 9(2), pages 458-485, June.
    9. Qiang Wang & Linjie Liu & Xiaojie Chen, 2020. "Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment," Dynamic Games and Applications, Springer, vol. 10(3), pages 764-782, September.
    10. Boik, Robert J. & Robinson-Cox, James F., 1998. "Derivatives of the Incomplete Beta Function," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 3(i01).
    11. Artyom Jelnov & Yair Tauman & Chang Zhao, 2021. "Stag Hunt with unknown outside options," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 303-335, July.
    12. Wang, Lei & Xia, Chengyi & Wang, Li & Zhang, Ying, 2013. "An evolving Stag-Hunt game with elimination and reproduction on regular lattices," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 69-76.
    13. Xu, Meng & Zheng, Da-Fang & Xu, C. & Zhong, Lixin & Hui, P.M., 2015. "Cooperative behavior in N-person evolutionary snowdrift games with punishment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 322-329.
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