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Realistic decision-making processes in a vaccination game

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  • Iwamura, Yoshiro
  • Tanimoto, Jun

Abstract

Previous studies of vaccination games have nearly always assumed a pairwise comparison between a focal and neighboring player for the strategy updating rule, which comes from numerous compiled studies on spatial versions of 2-player and 2-strategy (2 × 2) games such as the spatial prisoner’s dilemma (SPD). We propose, in this study, new update rules because the human decision-making process of whether to commit to a vaccination is obviously influenced by a “sense of crisis” or “fear” urging him/her toward vaccination, otherwise they will likely be infected. The rule assumes that an agent evaluates whether getting a vaccination or trying to free ride should be attempted based on observations of whether neighboring non-vaccinators were able to successfully free ride during the previous time-step. Compared to the conventional updating rule (standard pairwise comparison assuming a Fermi function), the new rules generally realize higher vaccination coverage and smaller final epidemic sizes. One rule in particular shows very good performance with significantly smaller epidemic sizes despite comparable levels of vaccination coverage. This is because the specific update rule helps vaccinators spread widely in the domain, which effectively hampers the spread of epidemics.

Suggested Citation

  • Iwamura, Yoshiro & Tanimoto, Jun, 2018. "Realistic decision-making processes in a vaccination game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 236-241.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:236-241
    DOI: 10.1016/j.physa.2017.11.148
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    References listed on IDEAS

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    Cited by:

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    5. Amaral, Marco A. & Oliveira, Marcelo M. de & Javarone, Marco A., 2021. "An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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    7. Kristen Scheckelhoff & Ayesha Ejaz & Igor V. Erovenko & Jan Rychtář & Dewey Taylor, 2021. "Optimal Voluntary Vaccination of Adults and Adolescents Can Help Eradicate Hepatitis B in China," Games, MDPI, vol. 12(4), pages 1-13, October.
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    9. Zhang, Hong, 2022. "Effects of stubborn players and noise on the evolution of cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    10. Ullah, Mohammad Sharif & Higazy, M. & Kabir, K.M. Ariful, 2022. "Dynamic analysis of mean-field and fractional-order epidemic vaccination strategies by evolutionary game approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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    13. Wang, Jianwei & He, Jialu & Yu, Fengyuan & Guo, Yuxin & Li, Meiyu & Chen, Wei, 2020. "Realistic decision-making process with memory and adaptability in evolutionary vaccination game," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    14. Meng, Xueyu & Lin, Jianhong & Fan, Yufei & Gao, Fujuan & Fenoaltea, Enrico Maria & Cai, Zhiqiang & Si, Shubin, 2023. "Coupled disease-vaccination behavior dynamic analysis and its application in COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    15. Alam, Muntasir & Tanaka, Masaki & Tanimoto, Jun, 2019. "A game theoretic approach to discuss the positive secondary effect of vaccination scheme in an infinite and well-mixed population," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 201-213.
    16. Kabir, K.M. Ariful & Tanimoto, Jun, 2019. "Evolutionary vaccination game approach in metapopulation migration model with information spreading on different graphs," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 41-55.
    17. Soya Miyoshi & Marko Jusup & Petter Holme, 2021. "Flexible imitation suppresses epidemics through better vaccination," Journal of Computational Social Science, Springer, vol. 4(2), pages 709-720, November.
    18. Kabir, K.M. Ariful & Tanimoto, Jun, 2021. "The role of pairwise nonlinear evolutionary dynamics in the rock–paper–scissors game with noise," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    19. Kabir, K.M. Ariful, 2021. "How evolutionary game could solve the human vaccine dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    21. Alam, Muntasir & Ida, Yuki & Tanimoto, Jun, 2021. "Abrupt epidemic outbreak could be well tackled by multiple pre-emptive provisions-A game approach considering structured and unstructured populations," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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