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This paper studies the evolution of opinions governed by a Friedkin Johnsen (FJ) based model in arbitrary network structures with signed interactions. The agents contributing to the opinion formation are characterised as being influential.…

系统与控制 · 电气工程与系统科学 2024-10-04 Aashi Shrinate , Twinkle Tripathy

This article presents a rigorous mathematical analysis of the Friedkin--Johnsen model of social influence on networks. We frame the opinion dynamics as a discrete boundary-value problem on a network, emphasizing the role of stubborn…

社会与信息网络 · 计算机科学 2026-02-10 Moses Boudourides

The paper presents an opposing rule-based signed Friedkin-Johnsen (SFJ) model for the evolution of opinions in arbitrary network topologies with signed interactions and stubborn agents. The primary objective of the paper is to analyse the…

系统与控制 · 电气工程与系统科学 2025-09-16 Aashi Shrinate , Twinkle Tripathy

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

离散数学 · 计算机科学 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

This paper investigates the problem of leadership development for an external influencer using the Friedkin-Johnsen (FJ) opinion dynamics model, where the influencer is modeled as a fully stubborn agent and leadership is quantified by…

系统与控制 · 电气工程与系统科学 2025-06-17 Lingfei Wang , Yu Xing , Yuhao Yi , Ming Cao , Karl H. Johansson

The proliferation of social media platforms, recommender systems, and their joint societal impacts have prompted significant interest in opinion formation and evolution within social networks. We study how local edge dynamics can drive…

社会与信息网络 · 计算机科学 2022-12-12 Nikita Bhalla , Adam Lechowicz , Cameron Musco

To obtain a foundational understanding of timeline algorithms and viral content in shaping public opinions, computer scientists started to study augmented versions of opinion formation models from sociology. In this paper, we generalize the…

社会与信息网络 · 计算机科学 2025-04-14 Charlotte Out , Sijing Tu , Stefan Neumann , Ahad N. Zehmakan

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,…

系统与控制 · 电气工程与系统科学 2025-04-07 Aashi Shrinate , Twinkle Tripathy

A closed-loop control model to analyze the impact of recommendation systems on opinion dynamics within social networks is introduced. The core contribution is the development and formalization of model-free and model-based approaches to…

系统与控制 · 电气工程与系统科学 2024-03-12 Ben Sprenger , Giulia De Pasquale , Raffaele Soloperto , John Lygeros , Florian Dörfler

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

概率论 · 数学 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

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…

系统与控制 · 电气工程与系统科学 2024-09-10 Lingfei Wang , Yu Xing , Karl H. Johansson

The convergence of opinions in the Friedkin-Johnsen (FJ) framework is well studied, but the topological conditions leading to opinion clustering remain less explored. To bridge this gap, we examine the role of topology in the emergence of…

系统与控制 · 电气工程与系统科学 2026-03-17 Aashi Shrinate , Twinkle Tripathy

Classic models on opinion dynamics usually focus on a group of agents forming their opinions interactively over single issue. Yet generally consensus can not be achieved over single issue when agents are not completely open to interpersonal…

系统与控制 · 计算机科学 2017-08-15 Ye Tian , Long Wang

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

社会与信息网络 · 计算机科学 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe

The operation of adding edges has been frequently used to the study of opinion dynamics in social networks for various purposes. In this paper, we consider the edge addition problem for the DeGroot model of opinion dynamics in a social…

社会与信息网络 · 计算机科学 2021-06-14 Xiaotian Zhou , Zhongzhi Zhang

According to the DeGroot-Friedkin model of a social network, an individual's social power evolves as the network discusses individual opinions over a sequence of issues. Under mild assumptions on the connectivity of the network, the social…

社会与信息网络 · 计算机科学 2024-10-24 Mengbin Ye , Ji Liu , Brian D. O. Anderson , Changbin Yu , Tamer Başar

In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social network has a distinct social stress function given by a…

社会与信息网络 · 计算机科学 2017-06-20 Justin Semonsen , Christopher Griffin , Anna Squicciarini , Sarah Rajtmajer

Leadership in social groups is often a dynamic characteristic that emerges from interactions and opinion exchange. Empirical evidence suggests that individuals with strong opinions tend to gain influence, at the same time maintaining…

物理与社会 · 物理学 2026-03-26 Martina Alutto , Lorenzo Zino , Karl H. Johansson , Angela Fontan

In this paper, we propose a technique for the estimation of the influence matrix in a sparse social network, in which $n$ individual communicate in a gossip way. At each step, a random subset of the social actors is active and interacts…

系统与控制 · 计算机科学 2019-03-27 Chiara Ravazzi , Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

This paper investigates the wisdom of crowds of linear opinion dynamics models evolving on signed networks. Conditions are given under which models such as the DeGroot, Friedkin-Johnsen (FJ) and concatenated FJ models improve or undermine…

系统与控制 · 电气工程与系统科学 2025-10-23 Muhammad Ahsan Razaq , Claudio Altafini
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