基于从众行为的改进Hegselmann-Krause观点动力学分析
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1.武汉科技大学;2.浙江大学

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TP273

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国家自然科学基金项目(61903284,62173259)


Analysis of modified Hegselmann-Krause opinion dynamics based on conformity
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Wuhan University of Science and Technology

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    摘要:

    在许多社交场景中,个体往往因为从众行为而改变自己的观点.为了探究从众行为对个体观点演化的影响,本文提出具有群体压力的改进Hegselmann-Krause (HK)模型.与已有模型不同,本模型中每个个体对其余个体的影响程度并不总是相同.在此基础上,通过理论分析了该模型的收敛性,并给出该模型的收敛时间及其与信任边界、群体压力大小等因素的关系.考虑到群体中存在合作与对抗两种关系,本文进一步提出具有群体压力的改进符号HK模型,证明了该模型的收敛性,并给出其收敛时间及与信任边界、群体压力大小等因素的关系.最后,仿真分析了信任边界和群体压力对所提出两种模型的观点演化过程和收敛时间的影响,并验证了所提出模型的有效性.结果表明,信任边界与群体压力越大,群体内个体的观点收敛越快.

    Abstract:

    In many social scenarios, individuals tend to change their opinions due to conformity behavior. To investigate the impact of conformity behavior on the evolution of individual opinions, this paper proposes a modified Hegselmann-Krause (HK) model with group pressure. Unlike the existing model, the weights of individuals influenced by their neighbors are not always the same. Thus, the convergence properties of this model are theoretically analyzed, and the model"s convergence time, as well as its relationship with confidence bound and group pressure, are given. Considering both cooperative and antagonistic relationships in groups, this paper further proposes a modified signed HK model with group pressure and proves its convergence. This model"s convergence time is also given, as well as its relationship with confidence bound and group pressure. Finally, simulations are given to study the effect of confidence bound and group pressure on the evolution of opinion and the convergence time of the proposed two models. The validity of the two proposed models is also verified. The results show that the higher the confidence bound and group pressure, the faster the convergence of individual opinions in groups.

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历史
  • 收稿日期:2022-04-28
  • 最后修改日期:2023-03-23
  • 录用日期:2022-11-10
  • 在线发布日期: 2022-11-25
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