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We propose and investigate different kinetic models for opinion formation, when the opinion formation process depends on an additional independent variable, e.g. a leadership or a spatial variable. More specifically, we consider:(i) opinion…

物理与社会 · 物理学 2018-06-05 Bertram Düring , Marie-Therese Wolfram

We introduce and discuss certain kinetic models of (continuous) opinion formation involving both exchange of opinion between individual agents and diffusion of information. We show conditions which ensure that the kinetic model reaches non…

数学物理 · 物理学 2007-05-23 G. Toscani

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

社会与信息网络 · 计算机科学 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

We investigate the long-time dynamics of an opinion formation model inspired by a work by Borghesi, Bouchaud and Jensen. Firstly, we derive a Fokker-Planck type equation under the assumption that interactions between individuals produce…

偏微分方程分析 · 数学 2016-07-22 Pierre Degond , Jian-Guo Liu , Sara Merino-Aceituno , Thomas Tardiveau

In this article, we study the nonlinear Fokker-Planck (FP) equation that arises as a mean-field (macroscopic) approximation of bounded confidence opinion dynamics, where opinions are influenced by environmental noises and opinions of…

偏微分方程分析 · 数学 2020-01-14 M. A. S. Kolarijani , A. V. Proskurnikov , P. Mohajerin Esfahani

We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely deterministic and the evolution of the single opinion is…

偏微分方程分析 · 数学 2020-04-09 Simone Fagioli , Emanuela Radici

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

物理与社会 · 物理学 2024-08-02 Fei Cao , Stephanie Reed

We propose a collective opinion formation model with a so-called confirmation bias. The confirmation bias is a psychological effect with which, in the context of opinion formation, an individual in favor of an opinion is prone to…

物理与社会 · 物理学 2013-06-24 Ryosuke Nishi , Naoki Masuda

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

概率论 · 数学 2026-01-30 Fei Cao , Roberto Cortez

We study a model for social influence in which the agents' opinion is a continuous variable [G. Weisbuch et al., Complexity \textbf{7}, 2, 55 (2002)]. The convergent opinion adjustment process takes place as a result of random binary…

统计力学 · 物理学 2007-05-23 M. F. Laguna , Guillermo Abramson , Damian H. Zanette

Inspired by the work of [Kempe, Kleinberg, Oren, Slivkins, EC13] we introduce and analyze a model on opinion formation; the update rule of our dynamics is a simplified version of that of Kempe et. al. We assume that the population is…

社会与信息网络 · 计算机科学 2017-04-28 Tung Mai , Ioannis Panageas , Vijay V. Vazirani

Understanding the evolution of collective beliefs is of critical importance to get insights on the political trends as well as on social tastes and opinions. In particular, it is pivotal to develop analytical models that can predict the…

社会与信息网络 · 计算机科学 2019-10-25 Alessandro Nordio , Alberto Tarable , Carla Fabiana Chiasserini , Emilio Leonardi

From a self-centered perspective, it can be assumed that people only hold opinions that can benefit them. If opinions have no intrinsic value, and acquire their value when held by the majority of individuals in a discussion group, then we…

物理与社会 · 物理学 2024-06-03 João P. M. Soares , José F. Fontanari

We investigate a class of models for opinion dynamics in a population with two interacting families of individuals. Each family has an intrinsic mean field "Voter-like" dynamics which is influenced by interaction with the other family. The…

概率论 · 数学 2018-11-16 Michele Aleandri , Ida G. Minelli

Motivated by the dynamics of cultural change and diversity, we generalize the three-species constrained voter model on a complete graph introduced in [J. Phys. A 37, 8479 (2004)]. In this opinion dynamics model, a population of size N is…

物理与社会 · 物理学 2011-08-11 Mauro Mobilia

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

物理与社会 · 物理学 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

In this paper, a model about the evolution of opinion on small world networks is proposed. We studied the macro-behavior of the agents' opinion and the relative change rate as time elapses. The external field was found to play an important…

斑图形成与孤子 · 物理学 2009-11-11 YunFeng Chang , Long Guo , Xu Cai

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change…

适应与自组织系统 · 物理学 2007-05-23 Franco Bagnoli , Fabio Franci , Raúl Rechtman

In this work we study the opinion evolution in a community-based population with intergroup interactions. We address two issues. First, we consider that such intergroup interactions can be negative with some probability $p$. We develop a…

物理与社会 · 物理学 2020-02-21 André L. Oestereich , Marcelo A. Pires , Nuno Crokidakis

The effects of interpersonal interactions on individual's agreements result in a social aggregation process which is reflected in the formation of collective states, as for instance, groups of individuals with a similar opinion about a…

物理与社会 · 物理学 2017-02-08 Pablo Balenzuela , Juan Pablo Pinasco , Viktoriya Semeshenko
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