This paper studies the formation of final opinions for the Friedkin-Johnsen (FJ) model with a community of partially stubborn agents. The underlying network of the FJ model is symmetric and generated from a random graph model, in which each link is added independently from a Bernoulli distribution. It is shown that the final opinions of the FJ model will concentrate around those of an FJ model over the expected graph as the network size grows, on the condition that the stubborn agents are well connected to other agents. Probability bounds are proposed for the distance between these two final opinion vectors, respectively for the cases where there exist non-stubborn agents or not. Numerical experiments are provided to illustrate the theoretical findings. The simulation shows that, in presence of non-stubborn agents, the link probability between the stubborn and the non-stubborn communities affect the distance between the two final opinion vectors significantly. Additionally, if all agents are stubborn, the opinion distance decreases with the agent stubbornness.
Dynamical models for distributed social power perception in Friedkin-Johnsen influence networks
Graduate School of Informatics, Kyoto University（京都大学情报大学院）；Division of Decision and Control Systems, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology（皇家理工学院电气计算机科学与决策控制系统系）；Digital Futures（数字未来中心）；Graduate School of Advanced Science and Engineering, Hiroshima University（广岛大学先进理工学研究科）；Department of Mechanical and Energy Engineering, Southern University of Science and Technology（南方科技大学机械能源工程系）
Influence Enhancement in Opinion Dynamics Using Edge Modification: A Kron Reduction-Based Approach
Department of Electrical Engineering, Indian Institute of Technology Kanpur（坎普尔印度理工学院电气工程系）；Adobe Systems, Bangalore（Adobe系统公司班加罗尔分部）；School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm（斯德哥尔摩皇家理工学院电气与计算机工程学院）
Opinion evolution in time-varying social influence networks with prejudiced agents
Delft University of Technology（代尔夫特理工大学）；Institute for Problems of Mechanical Engineering (IPME RAS)（俄罗斯科学院机械问题研究所）；ITMO University（ITMO大学）；CNR-IEIIT, Politecnico di Torino（都灵理工大学CNR-IEIIT研究所）；University of Groningen（格罗宁根大学）；University of California Santa Barbara（加州大学圣塔芭芭拉分校）
Randomized opinion dynamics over networks: influence estimation from partial observations
Institute of Electronics, Computer and Telecommunication Engineering, National Research Council of Italy (CNR-IEIIT)（意大利国家研究委员会电子、计算机和通信工程研究所）；Department of Electrical Engineering at the Pennsylvania State University（宾夕法尼亚州立大学电气工程系）
Novel Multidimensional Models of Opinion Dynamics in Social Networks
V.A. Trapeznikov Institute for Control Sciences of Russian Academy of Sciences（俄罗斯科学院控制科学瓦·阿·特拉佩兹尼科夫研究所）；Institute for Problems of Mechanical Engineering of Russian Academy of Sciences（俄罗斯科学院机械工程学问题研究所）；ITMO University（ITMO大学）；University of Santa-Barbara（圣塔芭芭拉大学）；CNR-IEIIT, Politecnico di Torino（都灵理工大学意大利国家研究委员会信息工程研究所）
