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This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

Physics and Society · Physics 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

Physics and Society · Physics 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

We study the average long-time behavior of the binary opinions of a social group with peer-to-peer interactions under the influence of an external bias and a persuadable leader, a strongly-biased agent with a dynamic opinion with the…

Statistical Mechanics · Physics 2024-05-30 Tiago S. A. N. Simões , Antonio Coniglio , Hans J. Herrmann , Lucilla de Arcangelis

We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions with a fixed probability $q$. Otherwise, with probability…

Probability · Mathematics 2025-12-23 Raphael Eichhorn , Felix Hermann , Marco Seiler

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

We study properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node and links are formed by citations of one article to another generating a directed network of a given language edition with…

Social and Information Networks · Computer Science 2025-09-23 Leonardo Ermann , Klaus M. Frahm , Dima L. Shepelyansky

Opinion formation has been gaining increasing research interests recently, and various models have been proposed. These models, however, have their limitations, among which noticeably include (i) it is generally assumed that adjacent nodes…

Physics and Society · Physics 2017-03-08 Yi Yu , Gaoxi Xiao

This paper examines the interplay of opinion exchange dynamics and communication network formation. An opinion formation procedure is introduced which is based on an abstract representation of opinions as $k$--dimensional bit--strings.…

Adaptation and Self-Organizing Systems · Physics 2014-10-24 S. Banisch , T. Araújo , J. Louçã

We study pattern formation in the bounded confidence model of opinion dynamics. In this random process, opinion is quantified by a single variable. Two agents may interact and reach a fair compromise, but only if their difference of opinion…

Pattern Formation and Solitons · Physics 2015-11-06 E. Ben-Naim , A. Scheel

To uncover the mechanisms underlying the collaborative production of knowledge, we investigate a very large online Question and Answer system that includes the question asking and answering activities of millions of users over five years.…

Physics and Society · Physics 2015-11-25 Lingfei Wu , Marco A. Janssen

The question of how people form their opinion has fascinated economists and sociologists for quite some time. In many of the models, a group of people in a social network, each holding a numerical opinion, arrive at a shared opinion through…

Computer Science and Game Theory · Computer Science 2012-03-15 David Bindel , Jon Kleinberg , Sigal Oren

This work explores models of opinion dynamics with opinion-dependent connectivity. Our starting point is that individuals have limited capabilities to engage in interactions with their peers. Motivated by this observation, we propose a…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Francesca Ceragioli , Paolo Frasca , Wilbert Samuel Rossi

We hereby propose a model of opinion dynamics where individuals update their beliefs because of interactions in acquaintances' group. The model exhibit a non trivial behavior that we discuss as a function of the main involved parameters.…

Physics and Society · Physics 2008-08-04 Timoteo Carletti , Simone Righi

In the standard $q$-voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size $q$. A more realistic extension is the threshold $q$-voter, where a minimal…

Physics and Society · Physics 2020-05-28 A. R. Vieira , Antonio F. Peralta , Raul Toral , Maxi San Miguel , C. Anteneodo

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

The $q$-neighbor Ising model for the opinion formation on multiplex networks with two layers in the form of random graphs (duplex networks), the partial overlap of nodes, and LOCAL\&AND spin update rule was investigated by means of the pair…

Statistical Mechanics · Physics 2023-09-15 Andrzej Krawiecki , Tomasz Gradowski

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca

In human societies opinion formation is mediated by social interactions, consequently taking place on a network of relationships and at the same time influencing the structure of the network and its evolution. To investigate this…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

Many models have been proposed to explain opinion formation in groups of individuals; most of these models study opinion propagation as the interaction between nodes/agents in a social network. Opinion formation is a complex process and a…

Physics and Society · Physics 2008-07-15 Floriana Gargiulo , Alberto Mazzoni

We present a model describing the temporal evolution of opinions due to interactions among a network of individuals. This Accept-Shift-Constrict (ASC) model is formulated in terms of coupled nonlinear differential equations for opinions and…

Physics and Society · Physics 2020-04-09 Michael Gabbay
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