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We introduce a model for the emergence of innovations, in which cognitive processes are described as random walks on the network of links among ideas or concepts, and an innovation corresponds to the first visit of a node. The transition…

物理与社会 · 物理学 2018-01-25 Iacopo Iacopini , Staša Milojević , Vito Latora

This paper investigates absorbing-state phase transitions in opinion dynamics through a master-node network model analyzed using annealing approximation. We develop a theoretical framework examining three fundamental regimes: systems…

物理与社会 · 物理学 2025-12-29 M. O. Hase , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

This paper examines the interplay of opinion exchange dynamics and communication network formation. An opinion formation procedure is introduced which is based on an abstract representation of opinions as $k$--dimensional bit--strings.…

适应与自组织系统 · 物理学 2014-10-24 S. Banisch , T. Araújo , J. Louçã

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

物理与社会 · 物理学 2015-03-13 Kameron Decker Harris

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

物理与社会 · 物理学 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Contagions such as the spread of popular news stories, or infectious diseases, propagate in cascades over dynamic networks with unobservable topologies. However, "social signals" such as product purchase time, or blog entry timestamps are…

机器学习 · 统计学 2016-12-21 Brian Baingana , Georgios B. Giannakis

Opinion dynamics is of paramount importance as it provides insights into the complex dynamics of opinion propagation and social relationship adjustment. It is assumed in most of the previous works that social relationships evolve much…

物理与社会 · 物理学 2024-04-05 Xunlong Wang , Bin Wu

We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

偏微分方程分析 · 数学 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

种群与进化 · 定量生物学 2012-08-17 Joel C. Miller

Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the…

物理与社会 · 物理学 2013-05-10 Babak Fotouhi , Michael Rabbat

We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the…

离散数学 · 计算机科学 2023-05-15 Colin Cooper , Nan Kang , Tomasz Radzik

The dynamics of spreading of the minority opinion in public debates (a reform proposal, a behavior change, a military retaliation) is studied using a diffusion reaction model. People move by discrete step on a landscape of random geometry…

无序系统与神经网络 · 物理学 2009-11-07 Serge Galam

We study a simple model in which the growth of a network is determined by the location of one or more random walkers. Depending on walker speed, the model generates a spectrum of structures situated between well-known limiting cases. We…

物理与社会 · 物理学 2020-01-27 Robert J. H. Ross , Charlotte Strandkvist , Walter Fontana

We introduce and study the reverse voter model, a dynamics for spin variables similar to the well-known voter dynamics. The difference is in the way neighbors influence each other: once a node is selected and one among its neighbors chosen,…

统计力学 · 物理学 2009-11-11 Claudio Castellano

We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by…

统计力学 · 物理学 2021-10-26 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

We propose a stochastic model of opinion exchange in networks. A finite set of agents is organized in a fixed network structure. There is a binary state of the world and each agent receives a private signal on the state. We model beliefs as…

理论经济学 · 经济学 2022-01-31 Emilien Macault

Opinion evolution and judgment revision are mediated through social influence. Based on a large crowdsourced in vitro experiment (n=861), it is shown how a consensus model can be used to predict opinion evolution in online collective…

社会与信息网络 · 计算机科学 2016-09-28 Corentin Vande Kerckhove , Samuel Martin , Pascal Gend , Peter J. Rentfrow , Julien M. Hendrickx , Vincent D. Blondel

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

物理与社会 · 物理学 2013-05-10 Babak Fotouhi , Michael G. Rabbat

Understanding how complex behaviors, opinions, and innovations spread in online social networks remains a central challenge in computational social science. Existing models of complex contagion typically rely on stylized threshold…

社会与信息网络 · 计算机科学 2026-03-20 Saurabh Sharma , Ambuj Singh

We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing…

物理与社会 · 物理学 2018-02-14 Han-Xin Yang