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In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing opinions directly, with the overall goal of steering the…

Physics and Society · Physics 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively…

Physics and Society · Physics 2013-09-06 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

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

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

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…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Lingfei Wang , Yu Xing , Yuhao Yi , Ming Cao , Karl H. Johansson

We consider the design of external inputs to achieve a control objective on the opinions, represented by scalars, in a social network. The opinion dynamics follow a variant of the discrete-time Friedkin-Johnsen model. We first consider two…

Social and Information Networks · Computer Science 2021-01-29 Mohak Goyal , Nikhil Karamchandani , Debasish Chatterjee , D. Manjunath

Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

Social and Information Networks · Computer Science 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective is to drive all agents to a final target point under suitable…

Analysis of PDEs · Mathematics 2020-11-10 Nastassia Duteil , Benedetto Piccoli

Social influence is the process by which individuals adapt their opinion, revise their beliefs, or change their behavior as a result of social interactions with other people. In our strongly interconnected society, social influence plays a…

Physics and Society · Physics 2013-11-15 Mehdi Moussaid , Juliane E. Kaemmer , Pantelis P. Analytis , Hansjoerg Neth

A long line of work in social psychology has studied variations in people's susceptibility to persuasion -- the extent to which they are willing to modify their opinions on a topic. This body of literature suggests an interesting…

Social and Information Networks · Computer Science 2018-01-29 Rediet Abebe , Jon Kleinberg , David Parkes , Charalampos E. Tsourakakis

Opinion evolution and judgment revision are mediated through social influence. Based on a large crowdsourced in vitro experiment (n=861), it is shown how a consensus model can be used to predict opinion evolution in online collective…

Social and Information Networks · Computer Science 2016-09-28 Corentin Vande Kerckhove , Samuel Martin , Pascal Gend , Peter J. Rentfrow , Julien M. Hendrickx , Vincent D. Blondel

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

Physics and Society · Physics 2024-08-02 Fei Cao , Stephanie Reed

Online social networks have become an integral part of modern society, profoundly influencing how individuals form and exchange opinions across diverse domains ranging from politics to public health. The Friedkin-Johnsen model serves as a…

Social and Information Networks · Computer Science 2025-11-05 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

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

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

Polarization is a well-documented phenomenon across a wide range of social issues. However, prevailing theories often compartmentalize the examination of herding behavior and opinion convergence within different contexts. In this study, we…

Theoretical Economics · Economics 2024-05-03 Ugo Bolletta , Paolo Pin

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…

Social and Information Networks · Computer Science 2022-12-12 Nikita Bhalla , Adam Lechowicz , Cameron Musco

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

Opinion dynamics is nowadays a very common field of research. In this article we formulate and then study a novel, namely strategic perspective on such dynamics: There are the usual normal agents that update their opinions, for instance…

Optimization and Control · Mathematics 2015-03-09 Rainer Hegselmann , Stefan König , Sascha Kurz , Christoph Niemann , Jörg Rambau

Future sequence represents the outcome after executing the action into the environment (i.e. the trajectory onwards). When driven by the information-theoretic concept of mutual information, it seeks maximally informative consequences.…

Machine Learning · Computer Science 2023-11-15 Jianfei Ma