In this paper, we consider two stubborn agents who compete for `influence' over a strongly connected group of agents. This framework represents real-world contests, such as competition among firms, two-party elections, and sports rivalries, among others. Considering stubbornness of agents to be an immutable property, we utilise the network topology alone to increase the influence of a preferred stubborn agent. We demonstrate this on a special class of strongly connected networks by identifying the supporters of each of the stubborn agents in such networks. Thereafter, we present sufficient conditions under which a network perturbation always increases the influence of the preferred stubborn agent. A key advantage of the proposed topology-based conditions is that they hold independent of the edge weights in the network. Most importantly, we assert that there exists a sequence of perturbations that can make the lesser influential stubborn agent more influential. Finally, we demonstrate our results over the Sampson's Monastery dataset.
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）
