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We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this…

应用统计 · 统计学 2011-12-30 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

In this work, we define a class of models to understand the impact of population size on opinion formation dynamics, a phenomenon usually related to group conformity. To this end, we introduce a new kinetic model in which the interaction…

适应与自组织系统 · 物理学 2024-09-09 Elisa Calzola , Giacomo Dimarco , Giuseppe Toscani , Mattia Zanella

We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices…

分布式、并行与集群计算 · 计算机科学 2015-10-05 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leveraging our recent results on the emergence of agreement and…

物理与社会 · 物理学 2023-11-07 Alessio Franci , Anastasia Bizyaeva , Shinkyu Park , Naomi Ehrich Leonard

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

物理与社会 · 物理学 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

物理与社会 · 物理学 2017-07-12 Liudmila Rozanova , Marian Boguna

We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (ageing). We focus on the case of only…

物理与社会 · 物理学 2009-04-07 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer

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 extend simple opinion models to obtain stable but continuously evolving communities. Our scope is to meet a challenge raised by sociologists of generating "structures that last from non lasting entities". We achieve this by introducing…

物理与社会 · 物理学 2015-06-05 Sébastian Grauwin , Pablo Jensen

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

物理与社会 · 物理学 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

物理与社会 · 物理学 2012-03-29 Andrea Lancichinetti , Santo Fortunato

We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or…

计算机科学与博弈论 · 计算机科学 2021-09-15 Pedro Cisneros-Velarde , Francesco Bullo

The study of opinions, their formation and change, is one of the defining topics addressed by social psychology, but in recent years other disciplines, as computer science and complexity, have addressed this challenge. Despite the…

人工智能 · 计算机科学 2011-06-22 Francesca Giardini , Walter Quattrociocchi , Rosaria Conte

We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two different agents. Moreover, we explore two cases in which such an…

最优化与控制 · 数学 2024-07-25 Chiara Cicolani , Badis Ouahab , Cristina Pignotti

The origin of population-scale coordination has puzzled philosophers and scientists for centuries. Recently, game theory, evolutionary approaches and complex systems science have provided quantitative insights on the mechanisms of social…

物理与社会 · 物理学 2018-03-19 Andrea Baronchelli

The increasing polarization in democratic societies is an emergent outcome of political opinion dynamics. Yet, the fundamental mechanisms behind the formation of political opinions, from individual beliefs to collective consensus, remain…

社会与信息网络 · 计算机科学 2025-04-04 Valeria Widler , Barbara Kaminska , Andre C. R. Martins , Ivan Puga-Gonzalez

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

物理与社会 · 物理学 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

We analyze a model designed to describe the spread and accumulation of opinions in a population. Inspired by the social contagion paradigm, our model is built on the classical SIR model of Kermack and McKendrick and consists in a system of…

偏微分方程分析 · 数学 2024-12-16 Romain Ducasse , Samuel Tréton

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

社会与信息网络 · 计算机科学 2026-03-26 Gianfelice Michele , Giuseppe Scola

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

物理与社会 · 物理学 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner