The dominanceof social networks has advanced immensely as many users become more dependent on these networks to be able to engage on social discussions and activities. The behavior of these users about a specific topic or issue can be extracted from their own belief or opinion as well as that of their connections. In order to derive meaningful and important behavioral information, these users can be modeled and analyzed together according to similarities in attributes such as political orientation, race, gender, and age. In this research work, the opinion dynamics of a multiple-population social network is investigated through the application of multiple-population mean field game (MPMFG) for behavior modeling and analysis. As a consequence of the proposed MPMFG model, information can be gained on the behavior of social network users belonging to different populations or groups. Specifically, the proposed MPFMG model can be utilized to estimate and predict the behavior of a social network group as well as their effect on the belief and opinion of other groups. Simulations are provided to demonstrate the belief and opinion dynamics of social network users in multiple-population settings. Moreover, theoretical and experimental results as well as comprehensive performance analysis are presented to demonstrate the effectiveness and validity of the proposed MPMFG approach in modeling and analyzing the evolution of opinions in multiple-population social networks.

中文翻译：

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使用多元平均场博弈对社交网络中的意见动态进行建模和分析

随着许多用户越来越依赖这些网络来参与社交讨论和活动，社交网络的主导地位得到了极大的提升。这些用户关于特定主题或问题的行为可以从他们自己的信仰或观点以及他们的联系中提取。为了获得有意义和重要的行为信息，可以根据政治取向、种族、性别和年龄等属性的相似性对这些用户进行建模和分析。在这项研究工作中，通过应用多群体平均场博弈 (MPMFG) 进行行为建模和分析，研究了多群体社交网络的意见动态。由于提出的 MPMFG 模型，可以获得关于属于不同人群或群体的社交网络用户的行为的信息。具体来说，所提出的 MPFMG 模型可用于估计和预测社交网络群体的行为以及它们对其他群体的信念和意见的影响。提供模拟以证明社交网络用户在多人群设置中的信念和意见动态。此外，还提供了理论和实验结果以及综合性能分析，以证明所提出的 MPMFG 方法在建模和分析多群体社交网络中意见演变的有效性和有效性。所提出的 MPFMG 模型可用于估计和预测社交网络群体的行为以及它们对其他群体的信念和意见的影响。提供模拟以证明社交网络用户在多人群设置中的信念和意见动态。此外，还提供了理论和实验结果以及综合性能分析，以证明所提出的 MPMFG 方法在建模和分析多群体社交网络中意见演变的有效性和有效性。所提出的 MPFMG 模型可用于估计和预测社交网络群体的行为以及它们对其他群体的信念和意见的影响。提供模拟以证明社交网络用户在多人群设置中的信念和意见动态。此外，还提供了理论和实验结果以及综合性能分析，以证明所提出的 MPMFG 方法在建模和分析多群体社交网络中意见演变的有效性和有效性。