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We generalize the DeGroot model for opinion dynamics to better capture realistic social scenarios. We introduce a model where each agent has their own individual cognitive biases. Society is represented as a directed graph whose edges…

Multiagent Systems · Computer Science 2024-02-28 Mário S. Alvim , Artur Gaspar da Silva , Sophia Knight , Frank Valencia

We present a user of model interaction based on the physics of kinetic exchange, and extend it to individuals placed in a grid with local interaction. We show with numerical analysis and partial analytical results that the critical symmetry…

Social and Information Networks · Computer Science 2017-06-15 Simone Santini

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas

In this paper, we propose a new model for continuous time opinion dynamics on an evolving network. As opposed to existing models, in which the network typically evolves by discretely adding or removing edges, we instead propose a model for…

Physics and Society · Physics 2023-05-17 Andrew J. Nugent , Susana N. Gomes , Marie-Therese Wolfram

Clustering is a fundamental collective phenomenon in agent-based models (ABMs) of opinion dynamics. To study clustering in systems with co-evolving social and opinion variables, we derive stochastic partial differential equation (SPDE)…

Physics and Society · Physics 2026-05-01 Sebastian Zimper , Nataša Djurdjevac Conrad , Federico Cornalba , Ana Djurdjevac

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when…

Statistical Mechanics · Physics 2021-02-10 Yann-Edwin Keta , Étienne Fodor , Frédéric van Wijland , Michael E. Cates , Robert L. Jack

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion.…

Probability · Mathematics 2024-08-23 Antonio Galves , Kádmo Laxa

We study a model of a population making a binary decision based on information spreading within the population, which is fully connected or covering a square grid. We assume that a fraction of the population wants to make the choice of the…

Physics and Society · Physics 2016-05-24 Petter Holme , Hang-Hyun Jo

As the consequences of opinion polarization effect our everyday life in more and more aspect, the understanding of its origins and driving forces becomes increasingly important. Here we develop an agent-based network model with realistic…

Physics and Society · Physics 2024-09-26 Zoltan Kovács , Anna Zafeiris , Gergely Palla

We investigate the effect of bias on the formation and dynamics of political parties in the bounded confidence model. For weak bias, we quantify the change in average opinion and potential dispersion and decrease in party size. For…

Dynamical Systems · Mathematics 2023-02-09 Olivia Cannon , Ty Bondurant , Malindi Whyte , Arnd Scheel

In this paper, we will review some of the issues that have been raised by opinion dynamics theory to date. In particular, we conducted a hypothesis-based simulation using a socio-physical approach regarding the filter bubble phenomenon that…

Physics and Society · Physics 2024-04-23 Yasuko Kawahata

A modified version of a finite random field Ising ferromagnetic model in an external magnetic field at zero temperature is presented to describe group decision making. Fields may have a non-zero average. A postulate of minimum…

Disordered Systems and Neural Networks · Physics 2015-06-25 Serge Galam

Models of continuous opinion dynamics under bounded confidence show a sharp transition between a consensus and a polarization phase at a critical global bound of confidence. In this paper, heterogeneous bounds of confidence are studied. The…

Physics and Society · Physics 2010-12-07 Jan Lorenz

Prior work has provided strong evidence that, within organizational settings, teams that bring a diversity of information and perspectives to a task are more effective than teams that do not. If this form of informational diversity confers…

Computer Science and Game Theory · Computer Science 2023-01-31 Hoda Heidari , Solon Barocas , Jon Kleinberg , Karen Levy

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

In this paper, we reconsider the spin model suggested recently to understand some features of collective decision making among higher organisms [A.T. Hartnett et al., Phys. Rev. Lett. 116 (2016) 038701]. Within the model, the state of an…

Statistical Mechanics · Physics 2023-06-28 Petro Sarkanych , Mariana Krasnytska , Luis Gómez-Nava , Pawel Romanczuk , Yurij Holovatch

This study introduces a new numerical model to simulate how information is comprehended and processed on social networks, using continuous "Phase Field Modeling" variables (phiA, phiB, phiC) to represent individual users' opinions. It…

Physics and Society · Physics 2024-04-24 Yasuko Kawahata

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

In this era of fast and large-scale opinion formation, a mathematical understanding of opinion evolution, a.k.a. opinion dynamics, is especially important. Linear graph-based dynamics and bounded confidence dynamics are the two most popular…

Social and Information Networks · Computer Science 2021-12-09 Sushmitha Shree S , Kishore G , Avhishek Chatterjee , Krishna Jagannathan

Public opinion on environmental issues remains polarized in many countries, posing a significant barrier to the implementation of effective policies. Behind this polarization, empirical studies have identified social susceptibility,…

Physics and Society · Physics 2025-10-09 Cameron Kerr , Madhur Anand , Chris T Bauch
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