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A person's decision to adopt an idea or product is often driven by the decisions of peers, mediated through a network of social ties. A common way of modeling adoption dynamics is to use threshold models, where a node may become an adopter…

Physics and Society · Physics 2014-06-30 Ville-Pekka Backlund , Jari Saramäki , Raj Kumar Pan

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

We propose a generalization of the Bass diffusion model in discrete-time that explicitly models the effect of price in adoption. Our model is different from earlier price-incorporated models and fits well to adoption data for various…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Yijin Wang , Subhonmesh Bose

Viral marketing takes advantage of preexisting social networks among customers to achieve large changes in behaviour. Models of influence spread have been studied in a number of domains, including the effect of "word of mouth" in the…

Computer Science and Game Theory · Computer Science 2008-09-08 Hamed Amini , Moez Draief , Marc Lelarge

How does social network structure amplify or stifle behavior diffusion? Existing theory suggests that when social reinforcement makes the adoption of behavior more likely, it should spread more -- both farther and faster -- on clustered…

Social and Information Networks · Computer Science 2025-07-11 Allison Wan , Christoph Riedl , David Lazer

Much research has been done on studying the diffusion of ideas or technologies on social networks including the \textit{Influence Maximization} problem and many of its variations. Here, we investigate a type of inverse problem. Given a…

Social and Information Networks · Computer Science 2014-04-28 Georgios Askalidis , Randall A. Berry , Vijay G. Subramanian

We study the dynamics of the adoption of new products by agents with continuous opinions and discrete actions (CODA). The model is such that the refusal in adopting a new idea or product is increasingly weighted by neighbor agents as…

Physics and Society · Physics 2009-06-10 Andre C. R. Martins , Carlos de B. Pereira , Renato Vicente

We analyze the Bass and SI models for the spreading of innovations and epidemics, respectively, on homogeneous complete networks, circular networks, and heterogeneous complete networks with two homogeneous groups. We allow the network…

Classical Analysis and ODEs · Mathematics 2024-07-16 Gadi Fibich , Amit Golan , Steven Schochet

A fundamental feature for understanding the diffusion of innovations through a social group is the manner in which we are influenced by our own social interactions. It is usually assumed that only direct interactions, those that form our…

Physics and Society · Physics 2024-07-08 Manuel Miranda , María Pereda , Angel Sánchez , Ernesto Estrada

The threshold model has been widely adopted as a classic model for studying contagion processes on social networks. We consider asymmetric individual interactions in social networks and introduce a persuasion mechanism into the threshold…

Physics and Society · Physics 2016-05-17 Wei-Min Huang , Li-Jie Zhang , Xin-Jian Xu , Xinchu Fu

Identifying the most influential nodes in information networks has been the focus of many research studies. This problem has crucial applications in various contexts, such as controlling the propagation of viruses or rumours in real-world…

Social and Information Networks · Computer Science 2022-08-30 Ahmad Asgharian Rezaei , Justin Munoz , Mahdi Jalili , Hamid Khayyam

Adoption processes in socio-technological systems have been widely studied both empirically and theoretically. The way in which social norms, behaviors, and even items such as books, music, or other commercial or technological product…

Physics and Society · Physics 2021-04-20 Iacopo Iacopini , Vito Latora

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

This paper introduces a measure of the diffusion of binary outcomes over a large, sparse network, when the diffusion is observed in two time periods. The measure captures the aggregated spillover effect of the state-switches in the initial…

Methodology · Statistics 2023-03-16 Xiaoqi He , Kyungchul Song

In many applications, it becomes necessary for a set of distributed network nodes to agree on a common value or opinion as quickly as possible and with minimal communication overhead. The classical 2-choices rule is a well-known distributed…

Probability · Mathematics 2026-01-14 Luke Meredith , Arpan Mukhopadhyay

Traditional works on community detection from observations of information cascade assume that a single adjacency matrix parametrizes all the observed cascades. However, in reality the connection structure usually does not stay the same…

Machine Learning · Statistics 2019-04-11 Ming Yu , Varun Gupta , Mladen Kolar

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

Optimization and Control · Mathematics 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

The well-known Ising model used in statistical physics was adapted to a social dynamics context to simulate the adoption of a technological innovation. The model explicitly combines (a) an individual's perception of the advantages of an…

Physics and Society · Physics 2015-05-20 Carlos E. Laciana , Santiago L. Rovere

Much effort has been devoted to understand how temporal network features and the choice of the source node affect the prevalence of a diffusion process. In this work, we addressed the further question: node pairs with what kind of local and…

Physics and Society · Physics 2018-04-26 Xiu-Xiu Zhan , Alan Hanjalic , Huijuan Wang

Popularity is attractive -- this is the formula underlying preferential attachment, a popular explanation for the emergence of scaling in growing networks. If new connections are made preferentially to more popular nodes, then the resulting…

Physics and Society · Physics 2013-04-19 Fragkiskos Papadopoulos , Maksim Kitsak , M. Angeles Serrano , Marian Boguna , Dmitri Krioukov