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Spreading (diffusion) of innovations is a stochastic process on social networks. When the key driving mechanism is peer effects (word of mouth), the rate at which the aggregate adoption level increases with time depends strongly on the…

Probability · Mathematics 2023-12-12 Gadi Fibich , Tomer Levin

The massive amount of text data on the web has facilitated research on the quantitative analysis of public opinion, which could not be visualized earlier. In this paper, we propose a new opinion dynamics theory. This theory that is intended…

Physics and Society · Physics 2019-01-01 Akira Ishii , Yasuko Kawahata

The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on the probability that each agent has of belonging to a given…

Analysis of PDEs · Mathematics 2019-07-12 Marco Morandotti , Francesco Solombrino

The spreading of news, memes and other pieces of information occurring via online social platforms has a strong and growing impact on our modern societies, with enormous consequences, that may be beneficial but also catastrophic. In this…

Physics and Society · Physics 2018-08-01 Daniele Notarmuzi , Claudio Castellano

In this work we analyze how reputation-based interactions influence the emergence of innovations. To do so, we make use of a dynamic model that mimics the discovery process by which, at each time step, a pair of individuals meet and merge…

Physics and Society · Physics 2024-03-07 Pablo Gallarta-Sáenz , Hugo Pérez-Martínez , Jesús Gómez-Gardeñes

We propose a microscopic model to describe how individual opinions shared between interacting agents initiate excessive collective expectations about a new idea or an innovation, followed by a swift collapse towards a dramatic collective…

Adaptation and Self-Organizing Systems · Physics 2019-08-15 Fariba Hashemi , Olivier Gallay , Max-Olivier Hongler

Successful innovations achieve large geographical coverage by spreading across settlements and distances. For decades, spatial diffusion has been argued to take place along the urban hierarchy such that the innovation first spreads from…

Physics and Society · Physics 2021-06-23 Eszter Bokányi , Martin Novák , Ákos Jakobi , Balázs Lengyel

Diffusion channels are critical to determining the adoption scale which leads to the ultimate impact of an innovation. The aim of this study is to develop an integrative understanding of the impact of two diffusion channels (i.e.,…

Social and Information Networks · Computer Science 2021-03-09 Yujia Zhai , Ying Ding , Hezhao Zhang

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…

Physics and Society · Physics 2021-10-22 Joseph William Baron

Innovation is a key ingredient for the evolution of several systems, including social and biological ones. Focused investigations and lateral thinking may lead to innovation, as well as serendipity and other random discovery processes. Some…

Physics and Society · Physics 2017-05-12 Giuliano Armano , Marco Alberto Javarone

Opinion dynamics have attracted the interest of researchers from different fields. Local interactions among individuals create interesting dynamics for the system as a whole. Such dynamics are important from a variety of perspectives. Group…

Physics and Society · Physics 2020-07-10 Hossein Noorazar

We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technology ladder where innovation and imitation combine to…

Theoretical Economics · Economics 2020-08-27 Jess Benhabib , Éric Brunet , Mildred Hager

This paper presents a data-driven mean-field approach to model the popularity dynamics of users seeking public attention, i.e., influencers. We propose a novel analytical model that integrates individual activity patterns, expertise in…

Social and Information Networks · Computer Science 2025-07-08 Franco Galante , Chiara Ravazzi , Luca Vassio , Michele Garetto , Emilio Leonardi

Rogers' diffusion of innovations theory asserts that cultural similarity among individuals plays a crucial role in the acceptance of an innovation in a community. However, most studies on the diffusion of innovations have relied on…

We investigate opinion spreading by a threshold model in a situation where the influence of people is heterogeneously distributed. We focus on the response of the average opinion as a function between the trend between out-degree (number of…

Physics and Society · Physics 2017-07-26 Eun Lee , Petter Holme

The population dynamics underlying the diffusion of ideas hold many qualitative similarities to those involved in the spread of infections. In spite of much suggestive evidence this analogy is hardly ever quantified in useful ways. The…

Social contagion has been studied in various contexts. Many instances of social contagion can be modeled as an infection process where a specific state (adoption of product, fad, knowledge, behavior, etc.) spreads from individual to…

Social and Information Networks · Computer Science 2014-07-01 Hiroki Sayama

A model, applicable to a range of innovation diffusion applications with a strong peer to peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households…

Adaptation and Self-Organizing Systems · Physics 2019-10-03 Nicholas J. McCullen , Alastair M. Rucklidge , Catherine S. E. Bale , Tim J. Foxon , William F. Gale

Despite the importance of social science knowledge for various stakeholders, measuring its diffusion into different domains remains a challenge. This study uses a novel text-based approach to measure the idea-level diffusion of social…

Social and Information Networks · Computer Science 2025-11-06 Yangliu Fan , Kilian Buehling , Volker Stocker

Considering collaborative patent development, we provide micro-level evidence for innovation through exchanges of differentiated knowledge. Knowledge embodied in a patent is proxied by word pairs appearing in its abstract, while novelty is…

General Economics · Economics 2022-11-07 Tomoya Mori , Jonathan Newton , Shosei Sakaguchi