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The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

Opinion formation cannot be modeled solely as an ideological deduction from a set of principles; rather, repeated social interactions and logic constraints among statements are consequential in the construct of belief systems. We address…

Optimization and Control · Mathematics 2019-01-01 Angelia Nedić , Alex Olshevsky , César A. Uribe

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

Opinions and beliefs determine the evolution of social systems. This is of particular interest in finance, as the increasing complexity of financial systems is coupled with information overload. Opinion formation, therefore, is not always…

General Finance · Quantitative Finance 2014-08-05 Marco D'Errico , Gulnur Muradoglu , Silvana Stefani , Giovanni Zambruno

Natural and artificial collectives exhibit heterogeneities across different dimensions, contributing to the complexity of their behavior. We investigate the effect of two such heterogeneities on collective opinion dynamics: heterogeneity of…

Physics and Society · Physics 2024-02-07 Vito Mengers , Mohsen Raoufi , Oliver Brock , Heiko Hamann , Pawel Romanczuk

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

Physics and Society · Physics 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

Social and Information Networks · Computer Science 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

Trust and distrust are common in the opinion interactions among agents in social networks, and they are described by the edges with positive and negative weights in the signed digraph, respectively. It has been shown in social psychology…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Lei Shi , Yuhua Cheng , Jinliang Shao , Xiaofan Wang , Hanmin Sheng

We investigate opinion dynamics in a fully-connected system, consisting of $n$ identical and anonymous agents, where one of the opinions (which is called correct) represents a piece of information to disseminate. In more detail, one source…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-20 Luca Becchetti , Andrea Clementi , Amos Korman , Francesco Pasquale , Luca Trevisan , Robin Vacus

A new agent-based, bounded-confidence model for discrete one-dimensional opinion dynamics is presented. The agents interact if their opinions do not differ more than a tolerance parameter. In pairwise interactions, one of the pair, randomly…

Adaptation and Self-Organizing Systems · Physics 2013-02-19 M. Kaan Öztürk

The proliferation of public networks has enabled instantaneous and interactive communication that transcends temporal and spatial constraints. The vast amount of textual data on the Web has facilitated the study of quantitative analysis of…

Physics and Society · Physics 2024-04-22 Yasuko Kawahata

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

We consider a class of models of opinion formation where the dissemination of individual opinions occurs through the spreading of local consensus and disagreement. We study the emergence of full collective consensus or maximal disagreement…

Physics and Society · Physics 2014-12-23 Andrés Chacoma , Damián H. Zanette

Opinion formation and disease spreading are among the most studied dynamical processes on complex networks. In real societies, it is expected that these two processes depend on and affect each other. However, little is known about the…

Physics and Society · Physics 2017-05-31 Fátima Velásquez Rojas , Federico Vazquez

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

Recently, an opinion dynamics model has been proposed to describe a network of individuals discussing a set of logically interdependent topics. For each individual, the set of topics and the logical interdependencies between the topics…

Social and Information Networks · Computer Science 2024-10-25 Mengbin Ye , Ji Liu , Lili Wang , Brian D. O. Anderson , Ming Cao

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…

Probability · Mathematics 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

Social media has emerged as a significant source of information for people. As agents interact with each other through social media platforms, they create numerous complex social networks. Within these networks, information spread among…

Physics and Society · Physics 2023-03-07 Jiarui Dong , Yi-Cheng Zhang , Yixiu Kong