This paper considers the consensus problem of a novel opinion dynamics model with group pressure and self-confidence. Different with the most existing paper, the influence of friends of friends in a social network is taken into account, which is modeled to be two-step communication. Based on this consideration, the neighbors of agents are classified into direct neighbors and indirect neighbors. Accordingly, the communication between agents and their neighbors is classified into one-step communication and two-step communication. By applying matrix analytic theory and graph theory, it is shown that the opinion consensus can be achieved. Moreover, the exactly consensus value of the opinion is obtained for three cases of the group pressure. Finally, simulation examples are provided to demonstrate the validity of the conclusions drawn in the paper.

翻译：本文研究一种具有群体压力与自信度的新型观点动力学模型的一致性问题。与现有大多数文献不同，本研究考虑了社交网络中"朋友的朋友"的影响，将其建模为两步通信。基于这一考量，将智能体的邻居划分为直接邻居与间接邻居。相应地，智能体与其邻居间的通信被分为单步通信与两步通信。通过应用矩阵分析理论与图论，证明了观点一致性能够达成。此外，针对群体压力的三种情形，推导出了观点的精确一致值。最后，通过仿真算例验证了文中所得结论的有效性。