The formation of public opinion is typically influenced by different stakeholders, such as governments and firms. Recently, various real-world problems related to the management of public opinion have emerged, necessitating stakeholders to strategically allocate resources on networks to achieve their objectives. To address this, it is imperative to consider the dynamics of opinion formation. Notably, in existing opinion dynamics models, individuals possess self-confidence parameters reflecting their adherence to historical opinions. However, most extant studies assume the individuals’ self-confidence levels remain constant over time, which cannot accurately capture the intricacies of human behavior. In response to this gap, we first introduce a self-confidence evolution model, which encompasses two influencing factors: the self-confidence levels of one's group mates and the passage of time. Furthermore, we present the social network DeGroot model with self-confidence evolution, and conduct some theoretical analyses. Moreover, we propose a game model to identify the optimal resource allocation strategies of players on a network. Finally, we provide sensitivity analyses, comparative studies, and a case study. This paper highlights the significance of incorporating self-confidence evolution into the process of opinion dynamics, and the results can provide valuable practical insights for players seeking to improve their optimal resource allocation on a network to more effectively manage public opinions.

中文翻译：

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考虑自信心演化的舆论动态的网络竞争性资源分配


舆论的形成通常受到不同利益相关者的影响，例如政府和企业。近年来，各种与舆论管理相关的现实问题不断出现，利益相关者需要战略性地配置网络资源以实现其目标。为了解决这个问题，必须考虑意见形成的动态。值得注意的是，在现有的舆论动态模型中，个人拥有反映其对历史观点的坚持的自信参数。然而，大多数现有研究假设个人的自信心水平随着时间的推移保持不变，这无法准确地捕捉人类行为的复杂性。针对这种差距，我们首先引入自信演化模型，该模型包含两个影响因素：同伴的自信水平和时间的推移。此外，我们提出了具有自信心演化的社交网络 DeGroot 模型，并进行了一些理论分析。此外，我们提出了一个博弈模型来识别网络上玩家的最佳资源分配策略。最后，我们提供敏感性分析、比较研究和案例研究。本文强调了将自信演化纳入舆论动态过程的重要性，其结果可以为寻求改善网络上最优资源配置以更有效地管理舆论的参与者提供有价值的实践见解。