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Coupled dynamics of mobility and pattern formation in optional public goods games

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  • Zhong, Li-Xin
  • Xu, Wen-Juan
  • Shi, Yong-Dong
  • Qiu, Tian

Abstract

In a static environment, optional participation and a local agglomeration of cooperators are found to be beneficial for the occurrence and maintenance of cooperation. In the optional public goods game, the rock–scissors–paper cycles of different strategies yield oscillatory cooperation but not stable cooperation. In this paper, by incorporating population density and individual mobility into the spatial optional public goods game, we study the coevolutionary dynamics of strategy updating and benefit-seeking migration. With low population density and slow movement, an optimal level of cooperation is easy to be reached. An increase in population density and speed-up of free-floating of competitive agents will suppress cooperation. A log–log relation between the levels of cooperation and the free-floating probability is found. Theoretical analysis indicates that the decrease of cooperator frequency in the present model should result from the increased interactions between different agents, which may originate from the increased cluster size or the speed-up of random-movement.

Suggested Citation

  • Zhong, Li-Xin & Xu, Wen-Juan & Shi, Yong-Dong & Qiu, Tian, 2013. "Coupled dynamics of mobility and pattern formation in optional public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 18-26.
    • Handle: RePEc:eee:chsofr:v:47:y:2013:i:c:p:18-26
    DOI: 10.1016/j.chaos.2012.11.012
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    Cited by:

    1. Wang, Chaoqian & Sun, Chengbin, 2023. "Public goods game across multilayer populations with different densities," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Shi, Yong-Dong & Zhong, Li-Xin & Xu, Wen-Juan, 2013. "Effects of group sensitivity on cooperation in N-person snowdrift game with dynamic grouping," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 132-138.
    3. Li-Xin Zhong & Wen-Juan Xu & Ping Huang & Chen-Yang Zhong & Tian Qiu, 2013. "Self-organization and phase transition in financial markets with multiple choices," Papers 1312.0690, arXiv.org, revised Jun 2014.
    4. Trenchard, Hugh, 2015. "The peloton superorganism and protocooperative behavior," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 179-192.
    5. Valverde, Pablo A. & da Silva, Roberto & Stock, Eduardo V., 2017. "Global oscillations in the Optional Public Goods Game under spatial diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 61-69.
    6. Yan, Shiqing, 2017. "The evolution of human mobility based on the public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 69-76.
    7. Tatsuya Sasaki, 2014. "The Evolution of Cooperation Through Institutional Incentives and Optional Participation," Dynamic Games and Applications, Springer, vol. 4(3), pages 345-362, September.
    8. Zhong, Li-Xin & Xu, Wen-Juan & Chen, Rong-Da & He, Yun-Xin & Qiu, Tian & Ren, Fei & Shi, Yong-Dong & Zhong, Chen-Yang, 2020. "Multiple learning mechanisms promote cooperation in public goods games with project selection," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

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