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We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

统计力学 · 物理学 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

物理与社会 · 物理学 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

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…

物理与社会 · 物理学 2022-12-27 Serap Tay Stamoulas , Muruhan Rathinam

We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social activity. We show that opinion polarization can arise among…

偏微分方程分析 · 数学 2025-11-27 Andrea Bondesan , Jacopo Borsotti

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

应用统计 · 统计学 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

We study the Galam's majority-rule model in the presence of an independent behavior that can be driven intrinsically or can be mediated by information regarding the collective opinion of the whole population. We first apply the mean-field…

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

系统与控制 · 电气工程与系统科学 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

社会与信息网络 · 计算机科学 2026-01-22 Akhil Jalan , Marios Papachristou

We propose a modification in the Sznajd sociophysics model defined on the square lattice. For this purpose, we consider reputation-a mechanism limiting the agents' persuasive power. The reputation is introduced as a time-dependent score,…

物理与社会 · 物理学 2012-03-06 Nuno Crokidakis , Fabricio L. Forgerini

We present an opinion model founded upon the principles of the bounded confidence interaction among agents. Our objective is to explain the polarization effects inherent to vector-valued opinions. The evolutionary process adheres to the…

多智能体系统 · 计算机科学 2023-12-25 Jacek Cyranka , Piotr B. Mucha

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

物理与社会 · 物理学 2015-06-12 Jonathan Ward , Peter Grindrod

Social pressure is a key factor affecting the evolution of opinions on networks in many types of settings, pushing people to conform to their neighbors' opinions. To study this, the interacting Polya urn model was introduced by Jadbabaie et…

系统与控制 · 电气工程与系统科学 2024-10-01 Jennifer Tang , Aviv Adler , Amir Ajorlou , Ali Jadbabaie

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

偏微分方程分析 · 数学 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

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…

Opinion dynamics of random-walking agents on finite two-dimensional lattices is studied. In the model, the opinion is continuous, and both the lattice and the opinion can be either periodic or non-periodic. At each time step, all agents…

物理与社会 · 物理学 2012-04-27 Suhan Ree

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

物理与社会 · 物理学 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by every other opinion in the population. It is demonstrated that…

物理与社会 · 物理学 2021-10-22 Joseph William Baron

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

社会与信息网络 · 计算机科学 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

We propose models describing the collective dynamics of two opposing groups of individuals with stochastic communication. Individuals from the same group are assumed to align in a stochastic manner, while individuals from different groups…

经典分析与常微分方程 · 数学 2019-07-15 Shi Jin , Ruiwen Shu

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

无序系统与神经网络 · 物理学 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal