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Related papers: Friedkin-Johnsen Model for Opinion Dynamics on Sig…

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This paper focuses on describing the impact of policy actions on individuals' opinions in the presence of social and external influences toward proposing preliminary nudging strategies to achieve a cost-effectiveness trade-off. To this end,…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Valentina Breschi , Chiara Ravazzi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

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…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Lingfei Wang , Yu Xing , Karl H. Johansson

Social power quantifies the ability of individuals to influence others and plays a central role in social influence networks. Yet, computing social power typically requires global knowledge and significant computational or storage…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ye Tian , Angela Fontan , Yu Kawano , Wei Zhang , Kenji Kashima , Karl H. Johansson

This paper employs the Friedkin-Johnsen (FJ) model to describe the dynamics of opinion evolution within a social network. Under the FJ framework, the society is divided into two subgroups that include stubborn agents and regular agents. The…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Hossein Rastgoftar

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…

Physics and Society · Physics 2026-03-26 Martina Alutto , Lorenzo Zino , Karl H. Johansson , Angela Fontan

This paper is concerned with the dynamics evolution of opinions in the presence of both cooperations and antagonisms. The class of Laplacian flows is addressed through signed digraphs subject to switching topologies. Further, a state…

Systems and Control · Computer Science 2017-05-15 Deyuan Meng , Ziyang Meng , Yiguang Hong

This paper presents a comprehensive analytical formulation for deriving a closed-form optimal strategy for agents operating within a social network, modeled through a McKean-Vlasov stochastic differential equation (SDE). Each agent aims to…

Optimization and Control · Mathematics 2025-08-26 Paramahansa Pramanik

We study the stability of opinion dynamics in the time-varying Friedkin-Johnsen (TVFJ) model, which captures both persistent individual biases and adaptive social influence. We introduce two temporal structures, defected temporal graphs…

Systems and Control · Electrical Eng. & Systems 2025-10-03 M. Hossein Abedinzadeh , Emrah Akyol

Online social networks (OSNs) have transformed the way individuals fulfill their social needs and consume information. As OSNs become increasingly prominent sources for news dissemination, individuals often encounter content that influences…

Social and Information Networks · Computer Science 2026-03-17 Elisabetta Biondi , Chiara Boldrini , Andrea Passarella , Marco Conti

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…

Systems and Control · Computer Science 2019-03-27 Chiara Ravazzi , Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

In a signed graph, each link is labeled with either a positive or a negative sign. This is particularly appropriate to model polarized systems. Such a graph can be characterized through the notion of structural balance, which relies on the…

Social and Information Networks · Computer Science 2019-05-01 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

For decades, researchers have been trying to understand how people form their opinions. This quest has become even more pressing with the widespread usage of online social networks and social media, which seem to amplify the already…

Social and Information Networks · Computer Science 2023-05-23 E. Biondi , C. Boldrini , A. Passarella , M. Conti

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin

We study the evolution of opinions (or beliefs) over a social network modeled as a signed graph. The sign attached to an edge in this graph characterizes whether the corresponding individuals or end nodes are friends (positive links) or…

Social and Information Networks · Computer Science 2015-08-17 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

Polarization and fragmentation in social media amplify user biases, making it increasingly important to understand the evolution of opinions. Opinion dynamics provide interpretability for studying opinion evolution, yet incorporating these…

Social and Information Networks · Computer Science 2025-02-18 Hao Li , Hao Jiang , Yuke Zheng , Hao Sun , Wenying Gong

In this work, we consider a group of n agents whose interactions can be represented using unsigned or signed structurally balanced graphs or a special case of structurally unbalanced graphs. A Laplacian-based model is proposed to govern the…

Systems and Control · Electrical Eng. & Systems 2024-08-15 Vishnudatta Thota , Twinkle Tripathy , Debasattam Pal

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…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Ben Sprenger , Giulia De Pasquale , Raffaele Soloperto , John Lygeros , Florian Dörfler

We propose a new decentralized design method to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion pattern to a new desired one. Our method relies on switching…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Giovanna Amorim , Maria Santos , Alessio Franci , Naomi Ehrich Leonard

We consider a verification problem for opinion dynamics based on binary observations. The opinion dynamics is governed by a Friedkin-Johnsen (FJ) model, where only a sequence of binary outputs is available instead of the agents' continuous…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Yu Xing , Aneesh Raghavan , Michael T. Schaub , Karl H. Johansson