English
Related papers

Related papers: Ordering dynamics of nonlinear voter models

200 papers

Communication noise is a common feature in several real-world scenarios where systems of agents need to communicate in order to pursue some collective task. In particular, many biologically inspired systems that try to achieve agreements on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-03 Francesco d'Amore , Isabella Ziccardi

The Hegselmann-Krause system (HK system for short) is one of the most popular models for the dynamics of opinion formation in multiagent systems. Agents are modeled as points in opinion space, and at every time step, each agent moves to the…

Data Structures and Algorithms · Computer Science 2015-03-06 Arnab Bhattacharyya , Kirankumar Shiragur

Formation of consensus, in binary yes/no type of voting, is a well defined process. However, even in presence of clear incentives, the dynamics involved can be incredibly complex. Specifically, formations of large groups of similarly…

Physics and Society · Physics 2020-08-14 Sudip Mukherjee , Soumyajyoti Biswas , Parongama Sen

In this paper, we discuss the passage to hydrodynamic equations for kinetic models of opinion formation. The considered kinetic models feature an opinion density depending on an additional microscopic variable, identified with the personal…

Physics and Society · Physics 2024-12-20 Lorenzo Pareschi , Giuseppe Toscani , Andrea Tosin , Mattia Zanella

We investigate how the topology of small-world networks affects the dynamics of the voter model for opinion formation. We show that, contrary to what occurs on regular topologies with local interactions, the voter model on small-world…

Statistical Mechanics · Physics 2009-11-07 Claudio Castellano , Daniele Vilone , Alessandro Vespignani

The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology, we study opinion formation using a…

Physics and Society · Physics 2026-05-19 Tim Mauch , Thilo Gross

We investigate a majority-vote model on two-layer multiplex networks with community structure. In our majority-vote model, the edges on each layer encode one type of social relationship and an individual changes their opinion based on the…

Physics and Society · Physics 2022-06-29 Kaiyan Peng , Mason A. Porter

We investigate opinion dynamics and information spreading on networks under the influence of content filtering technologies. The filtering mechanism, present in many online social platforms, reduces individuals' exposure to disagreeing…

Physics and Society · Physics 2024-01-26 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

We study a nonlinear dynamics of binary opinions in a population of agents connected by a directed network, influenced by two competing forces. On the one hand, agents are stubborn, i.e., have a tendency for one of the two opinions; on the…

Social and Information Networks · Computer Science 2025-11-13 Federico Capannoli , Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

We analyze the ordering dynamics of the voter model in different classes of complex networks. We observe that whether the voter dynamics orders the system depends on the effective dimensionality of the interaction networks. We also find…

Statistical Mechanics · Physics 2007-09-25 Krzysztof Suchecki , Víctor M. Eguíluz , Maxi San Miguel

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is…

Statistical Mechanics · Physics 2009-11-10 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

We propose and study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment. An agent in the group updates his/her opinion based on the group's opinion configuration and his/her…

Physics and Society · Physics 2022-12-27 Serap Tay Stamoulas , Muruhan Rathinam

Models of opinion dynamics describe how opinions are shaped in various environments. While these models are able to replicate general opinion distributions observed in real-world scenarios, their capacity to align with data at the user…

Social and Information Networks · Computer Science 2025-07-01 Antoine Vendeville

We study analytically the ordering kinetics and the final metastable states in the three-dimensional long-range voter model where $N$ agents described by a boolean spin variable $S_i$ can be found in two states (or opinion) $\pm 1$. The…

Statistical Mechanics · Physics 2024-09-04 Federico Corberi , Salvatore dello Russo e Luca Smaldone

The constrained voter model describes the dynamics of opinions in a population of individuals located on a connected graph. Each agent is characterized by her opinion, where the set of opinions is represented by a finite sequence of…

Probability · Mathematics 2013-10-02 Nicolas Lanchier , Stylianos Scarlatos

We study the mutual influence of authority and persuasion in the flow of opinion. Many social organizations are characterized by a hierarchical structure where the propagation of opinion is asymmetric. In the normal flow of opinion…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 M. F. Laguna , S. Risau-Gusman , G. Abramson , S. Goncalves , J. R. Iglesias

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

The noisy voter model is a stylised representation of opinion dynamics. Individuals copy opinions from other individuals, and are subject to spontaneous state changes. In the case of two opinion states this model is known to have a…

Physics and Society · Physics 2021-02-10 Nagi Khalil , Tobias Galla

We introduce an agent-based model for co-evolving opinion and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable.…

Dynamical Systems · Mathematics 2022-10-05 Natasa Djurdjevac Conrad , Jonas Köppl , Ana Djurdjevac