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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

The voter model on networks is crucial to understand opinion formation. Uni-directional social interactions are ubiquitous in real social networks whereas undirected interactions are intensively studied. We establish a voter model on a…

Physics and Society · Physics 2023-07-13 Yakun Wang , Bin Wu

While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

Physics and Society · Physics 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki

A social choice procedure is modeled as a repeated Nash game between the social agents, who are communicating with each other through a social communication network modeled by an undirected graph. The agents' criteria for this game are…

Systems and Control · Computer Science 2021-03-02 Athanasios-Rafail Lagos , George P. Papavassilopoulos

The voter model with the node update rule is numerically investigated on a directed network. We start from a directed hierarchical tree, and split and rewire each incoming arc at the probability $p$. In order to discriminate the better and…

Statistical Mechanics · Physics 2015-05-19 Sung-Guk Han , Jaegon Um , Beom Jun Kim

Online social networks exert a powerful influence on public opinion. Adversaries weaponize these networks to manipulate discourse, underscoring the need for more resilient social networks. To this end, we investigate the impact of network…

Social and Information Networks · Computer Science 2025-06-30 Yigit Ege Bayiz , Arash Amini , Radu Marculescu , Ufuk Topcu

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

Physics and Society · Physics 2024-09-17 Pratik Mullick , Parongama Sen

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

Populations and Evolution · Quantitative Biology 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom

We compare two versions of the nonlinear $q$-voter model: the original one, with annealed randomness, and the modified one, with quenched randomness. In the original model, each voter changes its opinion with a certain probability…

Physics and Society · Physics 2020-04-17 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

Opinion dynamics is of paramount importance as it provides insights into the complex dynamics of opinion propagation and social relationship adjustment. It is assumed in most of the previous works that social relationships evolve much…

Physics and Society · Physics 2024-04-05 Xunlong Wang , Bin Wu

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

The adaptive voter model allows for studying the interplay between homophily, the tendency of like-minded individuals to attract each other, and social influence, the tendency for connected individuals to influence each other. However, it…

Physics and Society · Physics 2023-03-21 Nikos Papanikolaou , Renaud Lambiotte , Giacomo Vaccario

We consider a nonlinear dynamical system on a signed graph, which can be interpreted as a mathematical model of social networks in which the links can have both positive and negative connotations. In accordance with a concept from social…

Social and Information Networks · Computer Science 2015-06-16 Tyler H. Summers , Iman Shames

We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions $\{0,1\}$ form groups. They can change their opinion based on their group's influence (voter dynamics), but groups can…

Physics and Society · Physics 2022-05-25 Nikos Papanikolaou , Giacomo Vaccario , Erik Hormann , Renaud Lambiotte , Frank Schweitzer

Polarization is a ubiquitous phenomenon in social systems. Empirical studies document substantial evidence for opinion polarization across social media, showing a typical bipolarized pattern devising individuals into two groups with…

Physics and Society · Physics 2023-01-19 Jiazhen Liu , Shengda Huang , Nathan Aden , Neil Johnson , Chaoming Song

We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two ways. First, existing links are deleted whenever a player…

Physics and Society · Physics 2009-09-25 Attila Szolnoki , Matjaz Perc

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams

In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

Optimization and Control · Mathematics 2020-11-18 Wouter Baar , Dario Bauso

The processes leading to change in languages are manifold. In order to reduce ambiguity in the transmission of information, agreement on a set of conventions for recurring problems is favored. In addition to that, speakers tend to use…

Physics and Society · Physics 2015-06-17 Cristina-Maria Pop , Erwin Frey

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