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Inspired by the famous Target Set Selection problem, we propose a new discrete model to simultaneously spread two opinions within a social network and perform an initial study of its complexity. Here, we are given a social network, a…

Data Structures and Algorithms · Computer Science 2025-06-23 Dušan Knop , Šimon Schierreich , Ondřej Suchý

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

This paper proposes a network model of opinion dynamics based on both the social network structure and network centralities. The conceptual novelty in this model is that the opinion of each individual is weighted by the associated network…

Social and Information Networks · Computer Science 2022-02-08 Shuang Gao

We propose a new Ising-PageRank model of opinion formation on a social network by introducing an Ising- or spin-like structure of the corresponding Google matrix. Each elector or node of the network has two components corresponding to a red…

Physics and Society · Physics 2019-04-18 Klaus M. Frahm , Dima L. Shepelyansky

We propose and study a model for the interplay between two different dynamical processes --one for opinion formation and the other for decision making-- on two interconnected networks $A$ and $B$. The opinion dynamics on network $A$…

Physics and Society · Physics 2016-10-04 L. G. Alvarez-Zuzek , C. E. La Rocca , F. Vazquez , L. A. Braunstein

Networks are powerful tools for modeling interactions in complex systems. While traditional networks use scalar edge weights, many real-world systems involve multidimensional interactions. For example, in social networks, individuals often…

Social and Information Networks · Computer Science 2024-10-08 Yu Tian , Sadamori Kojaku , Hiroki Sayama , Renaud Lambiotte

Consensus formation in a social network is modeled by a dynamic game of a prescribed duration played by members of the network. Each member independently minimizes a cost function that represents his/her motive. An integral cost function…

Systems and Control · Computer Science 2017-06-30 Muhammad Umar B. Niazi , Arif Bülent Özgüler , Aykut Yıldız

Opinion dynamics on social networks have been received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured…

Computer Science and Game Theory · Computer Science 2022-08-31 Zhifang Li , Xiaojie Chen , Han-Xin Yang , Attila Szolnoki

We study the strategic aspects of social influence in a society of agents linked by a trust network, introducing a new class of games called games of influence. A game of influence is an infinite repeated game with incomplete information in…

Computer Science and Game Theory · Computer Science 2016-02-09 Umberto Grandi , Emiliano Lorini , Laurent Perrussel

We study the connections between network structure, opinion dynamics, and an adversary's power to artificially induce disagreements. We approach these questions by extending models of opinion formation in the social sciences to represent…

Data Structures and Algorithms · Computer Science 2020-07-14 Jason Gaitonde , Jon Kleinberg , Eva Tardos

In social networks, users often engage with like-minded peers. This selective exposure to opinions might result in echo chambers, i.e., political fragmentation and social polarization of user interactions. When echo chambers form, opinions…

Physics and Society · Physics 2022-03-22 Christopher Brian Currin , Sebastián Vallejo Vera , Ali Khaledi-Nasab

This paper studies opinion dynamics in multilayer (social) networks. Extending a single-layer model, we formulate opinion updates as a synchronous coordination game in which agents minimize a local cost to stay close to their neighbors'…

Computer Science and Game Theory · Computer Science 2026-05-21 Ruey-An Shiu , Parinaz Naghizadeh

In an increasingly polarized world, demagogues who reduce complexity down to simple arguments based on emotion are gaining in popularity. Are opinions and online discussions falling into demagoguery? In this work, we aim to provide…

Social and Information Networks · Computer Science 2018-12-21 Utkarsh Upadhyay , Abir De , Aasish Pappu , Manuel Gomez-Rodriguez

We introduce a DeGroot-based model for opinion dynamics in social networks. A community of agents is represented as a weighted directed graph whose edges indicate how much agents influence one another. The model is formalized using labeled…

Social and Information Networks · Computer Science 2024-09-09 Jesús Aranda , Sebastián Betancourt , Juan Fco. Díaz , Frank Valencia

We propose a general concealed voter model (GCVM), in which individuals interact in two layers and can exchange their opinions in the internal layer. This interaction is not allowed in a concealed voter model (CVM). By exchanging opinions…

Physics and Society · Physics 2023-10-17 Chi Zhao , Elena Parilina

We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leveraging our recent results on the emergence of agreement and…

Physics and Society · Physics 2023-11-07 Alessio Franci , Anastasia Bizyaeva , Shinkyu Park , Naomi Ehrich Leonard

In this article we study the allocation of a budget to promote an opinion in a group of agents. We assume that their opinion dynamics are based on the well-known voter model. We are interested in finding the most efficient use of a budget…

Computer Science and Game Theory · Computer Science 2017-11-23 Susana Rey , Patricio Reyes , Alonso Silva

The rise of social media and online social networks has been a disruptive force in society. Opinions are increasingly shaped by interactions on online social media, and social phenomena including disagreement and polarization are now…

Social and Information Networks · Computer Science 2017-12-29 Cameron Musco , Christopher Musco , Charalampos E. Tsourakakis

Modelling efforts in opinion dynamics have to a large extent ignored that opinion exchange between individuals can also have an effect on how willing they are to express their opinion publicly. Here, we introduce a model of public opinion…

Physics and Society · Physics 2020-10-14 Felix Gaisbauer , Eckehard Olbrich , Sven Banisch