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<p>With advances in network control systems, new applications such as the analysis of opinion dynamics have emerged. Using mathematical tools, various dynamic models have been developed to study how people change opinions in social settings. One such model is the DeGroot-Friedkin model, a two-stage approach for sequential discussion of multiple issues. For each issue, the classical DeGroot model, closely related to the consensus problem, is used to analyze opinion dynamics. This model incorporates the theory of self-appraisal to study the evolution of an individual’s self-esteem, where individuals evaluate their contributions to the issues being discussed. However, the question “How does the social network affect one’s self-esteem?” remains unaddressed. In this paper, the authors propose a new self-esteem evolution model that examines the effects of social relationships on individuals’ self-esteem by considering changes in opinion as an indicator of the social network’s impact. The authors also introduce a convergence criterion for the new model and provide analytical proofs of the results.</p>

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A Self-Esteem Model Based on the Impact of the Social Network

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Hassan Dehghani Aghbolagh,
  • Zhiyong Chen,
  • Maria Seron

摘要

With advances in network control systems, new applications such as the analysis of opinion dynamics have emerged. Using mathematical tools, various dynamic models have been developed to study how people change opinions in social settings. One such model is the DeGroot-Friedkin model, a two-stage approach for sequential discussion of multiple issues. For each issue, the classical DeGroot model, closely related to the consensus problem, is used to analyze opinion dynamics. This model incorporates the theory of self-appraisal to study the evolution of an individual’s self-esteem, where individuals evaluate their contributions to the issues being discussed. However, the question “How does the social network affect one’s self-esteem?” remains unaddressed. In this paper, the authors propose a new self-esteem evolution model that examines the effects of social relationships on individuals’ self-esteem by considering changes in opinion as an indicator of the social network’s impact. The authors also introduce a convergence criterion for the new model and provide analytical proofs of the results.