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Enhancement of cooperation in the spatial prisoner’s dilemma with a coherence-resonance effect through annealed randomness at a cooperator–defector boundary; comparison of two variant models

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  • Tanimoto, Jun

Abstract

Inspired by the commonly observed real-world fact that people tend to behave in a somewhat random manner after facing interim equilibrium to break a stalemate situation whilst seeking a higher output, we established two models of the spatial prisoner’s dilemma. One presumes that an agent commits action errors, while the other assumes that an agent refers to a payoff matrix with an added random noise instead of an original payoff matrix. A numerical simulation revealed that mechanisms based on the annealing of randomness due to either the action error or the payoff noise could significantly enhance the cooperation fraction. In this study, we explain the detailed enhancement mechanism behind the two models by referring to the concepts that we previously presented with respect to evolutionary dynamic processes under the names of enduring and expanding periods.

Suggested Citation

  • Tanimoto, Jun, 2016. "Enhancement of cooperation in the spatial prisoner’s dilemma with a coherence-resonance effect through annealed randomness at a cooperator–defector boundary; comparison of two variant models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 714-724.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:714-724
    DOI: 10.1016/j.physa.2016.06.002
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    References listed on IDEAS

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    1. Alessio Emanuele Biondo & Alessandro Pluchino & Andrea Rapisarda, 2012. "The beneficial role of random strategies in social and financial systems," Papers 1209.5881, arXiv.org, revised Jan 2013.
    2. Alessio Emanuele Biondo & Alessandro Pluchino & Andrea Rapisarda & Dirk Helbing, 2013. "Reducing Financial Avalanches By Random Investments," Papers 1309.3639, arXiv.org, revised Nov 2013.
    3. Lin, Min & Li, Nan & Tian, Liang & Shi, Da-Ning, 2010. "Spatial evolutionary game with bond dilution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1753-1758.
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    Cited by:

    1. Okita, Kouki & Tatsukawa, Yuichi & Utsumi, Shinobu & Arefin, Md. Rajib & Hossain, Md. Anowar & Tanimoto, Jun, 2023. "Stochastic resonance effect observed in a vaccination game with effectiveness framework obeying the SIR process on a scale-free network," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Wang, Jianwei & Wang, Rong & Yu, Fengyuan & Wang, Ziwei & Li, Qiaochu, 2020. "Learning continuous and consistent strategy promotes cooperation in prisoner’s dilemma game with mixed strategy," Applied Mathematics and Computation, Elsevier, vol. 370(C).

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