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Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

Physics and Society · Physics 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update event an individual changes state to agree with a neighbor.…

Physics and Society · Physics 2009-09-29 V. Sood , Tibor Antal , S. Redner

The issue of opinion sharing and formation has received considerable attention in the academic literature, and a few models have been proposed to study this problem. However, existing models are limited to the interactions among nearest…

Social and Information Networks · Computer Science 2024-08-15 Zuobai Zhang , Wanyue Xu , Zhongzhi Zhang , Guanrong Chen

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

Physics and Society · Physics 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

A model where agents show discrete behavior regarding their actions, but have continuous opinions that are updated by interacting with other agents is presented. This new updating rule is applied to both the voter and Sznajd models for…

Physics and Society · Physics 2008-08-11 Andre C. R. Martins

We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this…

Applications · Statistics 2011-12-30 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

In this work we define a kinetic model for understanding the impact of heterogeneous opinion formation dynamics on epidemics. The considered many-agent system is characterized by nonsymmetric interactions which define a coupled system of…

Physics and Society · Physics 2024-03-13 Sabrina Bonandin , Mattia Zanella

This article is concerned with a general class of stochastic spatial models for the dynamics of opinions. Like in the voter model, individuals are located on the vertex set of a connected graph and update their opinion at a constant rate…

Probability · Mathematics 2014-12-16 Nicolas Lanchier , Stylianos Scarlatos

The recent availability of huge high resolution datasets on human activities has revealed the heavy-tailed nature of the interevent time distributions. In social simulations of interacting agents the standard approach has been to use…

Physics and Society · Physics 2013-06-24 Juan Fernández-Gracia , Víctor M. Eguíluz , Maxi San Miguel

We introduce the incremental voter model (IVM), a discrete-opinion multi-agent system where agents undergo step-wise transitions biased by the opinion of a randomly selected persuader. Our incremental voter model comprises a large…

Multiagent Systems · Computer Science 2026-05-29 Fei Cao , Xiaoqian Gong

Agent-based models of opinion dynamics allow one to examine the spread of opinions between entities and to study phenomena such as consensus, polarization, and fragmentation. By studying a model of opinion dynamics on a social network, one…

Physics and Society · Physics 2023-03-22 Grace J. Li , Mason A. Porter

There are numerous examples of societies with extremely stable mix of contrasting opinions. We argue that this stability is a result of an interplay between society network topology adjustment and opinion changing processes. To support this…

Physics and Society · Physics 2015-05-13 Pawel Sobkowicz

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

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

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

Optimization and Control · Mathematics 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

We address the issue of the reducibility of the dynamics on a multilayer network to an equivalent process on an aggregated single-layer network. As a typical example of models for opinion formation in social networks, we implement the voter…

Physics and Society · Physics 2016-02-08 Marina Diakonova , Vincenzo Nicosia , Vito Latora , Maxi San Miguel

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

Recently a model for the interplay between homophily-based appraisal dynamics and influence-based opinion dynamics has been proposed. The model explores for the first time how the opinions of a group of agents on a certain number of…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Giulia De Pasquale , Maria Elena Valcher

Agents in social networks with threshold-based dynamics change opinions when influenced by sufficiently many peers. Existing literature typically assumes that the network structure and dynamics are fully known, which is often unrealistic.…

Social and Information Networks · Computer Science 2026-05-15 Dmitry Chistikov , Luisa Estrada , Mike Paterson , Paolo Turrini