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The effect of assortativity by degree on emerging cooperation in a 2×2 dilemma game played on an evolutionary network

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  • Tanimoto, Jun

Abstract

A series of numerical experiments on 2×2 games using a co-evolutionary model, including both networks and strategies, was performed. A relationship between assortativity by degree of the evolved network and emerging cooperation was investigated. In the Prisoner’s Dilemma (PD) game class, the evolutionary trajectory for a weak dilemma game favors a network with positive assortative coefficient and easily attains a cooperative situation. A game implemented with a stronger dilemma, however, makes the network very heterogeneous, with a negative assortative coefficient required to solve the dilemma situation. This implies that the dilemma strength in the PD significantly affects the direction adopted by the assortative coefficient during evolutionary processes in the co-evolutionary model.

Suggested Citation

  • Tanimoto, Jun, 2010. "The effect of assortativity by degree on emerging cooperation in a 2×2 dilemma game played on an evolutionary network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3325-3335.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:16:p:3325-3335
    DOI: 10.1016/j.physa.2010.03.020
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    References listed on IDEAS

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    1. Xu, Hedong & Tian, Cunzhi & Ye, Wenxing & Fan, Suohai, 2018. "Effects of investors’ power correlations in the power-based game on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 424-432.
    2. Cheng, Fei & Chen, Tong & Chen, Qiao, 2020. "Rewards based on public loyalty program promote cooperation in public goods game," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    3. Li, Cong & Xu, Hedong & Fan, Suohai, 2021. "Evolutionary compromise game on assortative mixing networks," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    4. Jianguo Ren & Yonghong Xu, 2014. "Modelling the Effects of Selection Temperature and Mutation on the Prisoner’s Dilemma Game on a Complete Oriented Star," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-9, October.
    5. 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.
    6. Liu, Yan-Ping & Wang, Lin & Zhang, Feng & Wang, Rui-Wu, 2020. "Diffusion sustains cooperation via forming diverse spatial patterns in prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 375(C).

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