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A Study Of A Quadruple Co-Evolutionary Model And Its Reciprocity Phase For Various Prisoner'S Dilemma Game

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  • JUN TANIMOTO

    (Interdisciplinary Graduate School of Engineering Sciences, Kyushu University Kasuga-Koen, Kasuga-Shi, Fukuoka 816-8580, Japan)

Abstract

We present and numerically investigate a quadruple co-evolutionary model for 2 × 2 Prisoner's Dilemma games which allows not only for agents to adopt strategy (Cooperation C or Defection D) and for network topology, but also for the probability of link rewiring that controls the speed of network evolution and the updating rule itself. The results of a series of simulations reveal that C agents in a coexisting phase increase their rewiring probability to avoid neighboring D agents' exploitation through the Game Exit Option. This evolutionary process leads most agents to adopt pairwise updating even though Imitation Max update adopted by all agents brings a higher payoff.

Suggested Citation

  • Jun Tanimoto, 2011. "A Study Of A Quadruple Co-Evolutionary Model And Its Reciprocity Phase For Various Prisoner'S Dilemma Game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 401-417.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:04:n:s0129183111016324
    DOI: 10.1142/S0129183111016324
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    Citations

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    Cited by:

    1. Deng, Lili & Zhang, Xingxing & Wang, Cheng, 2021. "Coevolution of spatial ultimatum game and link weight promotes fairness," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Du, Jinming & Wu, Ziren, 2023. "Coevolutionary dynamics of strategy and network structure with publicity mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    3. Yang, Kai & Huang, Changwei & Dai, Qionglin & Yang, Junzhong, 2018. "The effects of attribute persistence on cooperation in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 23-28.
    4. Liu, Yandi & Wang, Hexin & Ding, Yi & Yang, Xuan & Dai, Yu, 2022. "Can weak diversity help in propagating cooperation? Invasion of cooperators at the conformity-conflict boundary," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Mao, Fubing & Ma, Lijia & He, Qiang & Xiao, Gaoxi, 2020. "Match making in complex social networks," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    6. Yang, Zhihu & Li, Zhi & Wang, Long, 2020. "Evolution of cooperation in a conformity-driven evolving dynamic social network," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    7. Yang, Yimei & Sun, Hao & Xu, Genjiu, 2022. "Bilaterally-agree partner switching promotes cooperation in social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    8. Wu, Jiadong & Zhao, Chengye, 2020. "Better immigration: Prisoner’s dilemma game with population change on dynamic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    9. Tanimoto, Jun, 2013. "Coevolutionary, coexisting learning and teaching agents model for prisoner’s dilemma games enhancing cooperation with assortative heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2955-2964.

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