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We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by…

Statistical Mechanics · Physics 2021-10-26 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

We study the noisy voter model using a specific non-linear dependence of the rates that takes into account collective interaction between individuals. The resulting model is solved exactly under the all-to-all coupling configuration and…

Physics and Society · Physics 2018-10-05 A. F. Peralta , A. Carro , M. San Miguel , R. Toral

Processes of individual attitude formation and their macroscopic consequences have become an intriguing research topic, and agent-based models of opinion formation have been proposed to understand this phenomenon. This study conducted an…

Physics and Society · Physics 2020-11-30 Hirofumi Takesue

We investigate mean-field dynamics of a nonlinear opinion formation model with congregator and contrarian agents. Each agent assumes one of the two possible states. Congregators imitate the state of other agents with a rate that increases…

Physics and Society · Physics 2013-12-25 Shoma Tanabe , Naoki Masuda

The structure of a network can significantly influence the properties of the dynamical processes which take place on them. While many studies have been devoted to this influence, much less attention has been devoted to the interplay and…

Physics and Society · Physics 2008-01-10 Balazs Kozma , Alain Barrat

The Shapley-Shubik power index is a measure of each voters power in the passage or failure of a vote. We extend this measure to graphs and consider a discrete-time process in which voters may change their vote based on the outcome of the…

Discrete Mathematics · Computer Science 2020-07-13 Jordan Barrett , Christopher Duffy , Richard Nowakowski

Agent-based models are versatile tools for studying how societal opinion change, including political polarization and cultural diffusion, emerges from individual behavior. This study expands agents' psychological realism using…

Multiagent Systems · Computer Science 2017-02-22 Peter Duggins

We study a generalization of the voter model on complex networks, focusing on the scaling of mean exit time. Previous work has defined the voter model in terms of an initially chosen node and a randomly chosen neighbor, which makes it…

Statistical Mechanics · Physics 2015-05-13 Casey M. Schneider-Mizell , Leonard M. Sander

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

In this article, we consider machine learning algorithms to accurately predict two variables associated with the $Q$-voter model in complex networks, i.e., (i) the consensus time and (ii) the frequency of opinion changes. Leveraging nine…

Physics and Society · Physics 2023-10-16 Aruane M. Pineda , Paul Kent , Colm Connaughton , Francisco A. Rodrigues

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

Physics and Society · Physics 2018-05-01 Degang Wu , K. Y. Szeto

Social networks are increasingly being used to conduct polls. We introduce a simple model of such social polling. We suppose agents vote sequentially, but the order in which agents choose to vote is not necessarily fixed. We also suppose…

Computer Science and Game Theory · Computer Science 2013-02-08 Serge Gaspers , Victor Naroditskiy , Nina Narodytska , Toby Walsh

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

We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of consensus, polarization, or fragmentation. Existing models…

Dynamical Systems · Mathematics 2023-11-29 Tigran Bakaryan , Yuliang Gu , Naira Hovakimyan , Tarek Abdelzaher , Christian Lebiere

In human societies, people's willingness to compete and strive for better social status as well as being envious of those perceived in some way superior lead to social structures that are intrinsically hierarchical. Here we propose an…

Multiagent Systems · Computer Science 2021-04-28 Jan E. Snellman , Gerardo Iñiguez , Tzipe Govezensky , Rafael A. Barrio , Kimmo K. Kaski

Online social networks have become primary means of communication. As they often exhibit undesirable effects such as hostility, polarisation or echo chambers, it is crucial to develop analytical tools that help us better understand them. In…

Social and Information Networks · Computer Science 2024-02-22 Antoine Vendeville , Shi Zhou , Benjamin Guedj

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

The interplay of social and strategic motivations in human interactions is a largely unexplored question in collective social phenomena. Whether individuals' decisions are taken in a pure strategic basis or due to social pressure without a…

Physics and Society · Physics 2014-09-19 Daniele Vilone , Jose J. Ramasco , Angel Sánchez , Maxi San Miguel

Belief perseverance is the widely documented tendency of holding to a belief, even in the presence of contradicting evidence. In online environments, this tendency leads to heated arguments with users ``blocking'' each other. Introducing…

Physics and Society · Physics 2025-01-20 André Martin Timpanaro

People are often divided into conformists and contrarians, the former tending to align to the majority opinion in their neighborhood and the latter tending to disagree with that majority. In practice, however, the contrarian tendency is…

Cellular Automata and Lattice Gases · Physics 2013-12-16 Franco Bagnoli , Raul Rechtman