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This paper develops a dual-channel framework for analyzing technology diffusion that integrates spatial decay mechanisms from continuous functional analysis with network contagion dynamics from spectral graph theory. Building on our…

Econometrics · Economics 2025-10-30 Tatsuru Kikuchi

This paper develops a continuous framework for analyzing financial contagion that incorporates both geographic proximity and interbank network linkages. The framework characterizes stress propagation through a master equation whose solution…

Econometrics · Economics 2026-01-05 Tatsuru Kikuchi

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

We develop a unified model in which AI adoption in financial markets generates systemic risk through three mutually reinforcing channels: performative prediction, algorithmic herding, and cognitive dependency. Within an extended rational…

Computational Finance · Quantitative Finance 2026-04-07 Shuchen Meng , Xupeng Chen

The urban-rural divide is increasing in modern societies calling for geographical extensions of social influence modelling. Improved understanding of innovation diffusion across locations and through social connections can provide us with…

Physics and Society · Physics 2020-09-16 Balázs Lengyel , Eszter Bokányi , Riccardo Di Clemente , János Kertész , Marta C. González

We develop a game-theoretic framework for the study of competition between firms who have budgets to "seed" the initial adoption of their products by consumers located in a social network. The payoffs to the firms are the eventual number of…

Computer Science and Game Theory · Computer Science 2012-04-24 Sanjeev Goyal , Michael Kearns

Many products and innovations become well-known and widely adopted through the social interactions of individuals in a population. The Bass diffusion model has been widely used to model the temporal evolution of adoption in such social…

Social and Information Networks · Computer Science 2016-06-13 Vahideh H. Manshadi , Sidhant Misra

While there has been much work examining the affects of social network structure on innovation adoption, models to date have lacked important features such as meta-populations reflecting real geography or influence from mass media forces.…

Social and Information Networks · Computer Science 2015-05-30 Jameson L. Toole , Meeyoung Cha , Marta C. Gonzalez

In a social network, adoption probability refers to the probability that a social entity will adopt a product, service, or opinion in the foreseeable future. Such probabilities are central to fundamental issues in social network analysis,…

Social and Information Networks · Computer Science 2013-09-26 Xiao Fang , Paul J. Hu , Zhepeng Li , Weiyu Tsai

Understanding the dynamics of renewable energy adoption is essential for designing strategies that accelerate its spread - an urgent priority for advancing climate goals and improving well-being, especially in off-grid regions facing energy…

We consider the competition of two mechanisms for adoption processes: a so-called complex threshold dynamics and a simple Susceptible-Infected-Susceptible (SIS) model. Separately, these mechanisms lead, respectively, to first order and…

Physics and Society · Physics 2016-12-14 Agnieszka Czaplicka , Raul Toral , Maxi San Miguel

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

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

Social and Information Networks · Computer Science 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

In this paper we study how the network of agents adopting a particular technology relates to the structure of the underlying network over which the technology adoption spreads. We develop a model and show that the network of agents adopting…

Social and Information Networks · Computer Science 2013-04-09 Grant Schoenebeck

This paper models the temporal adoption dynamics of an abstracted Internet technology or service, where the instantaneous net value of the service perceived by each (current or potential) user / customer incorporates three key features: i)…

Social and Information Networks · Computer Science 2017-05-02 Steven Weber

When the full stock of a new product is quickly sold in a few days or weeks, one has the impression that new technologies develop and conquer the market in a very easy way. This may be true for some new technologies, for example the cell…

Physics and Society · Physics 2012-08-14 Sebastian Goncalves , M. F. Laguna , J. R. Iglesias

Complex networks have been found to provide a good representation of the structure of knowledge, as understood in terms of discoverable concepts and their relationships. In this context, the discovery process can be modeled as agents…

Social and Information Networks · Computer Science 2017-09-07 Henrique F. de Arruda , Filipi N. Silva , Luciano da F. Costa , Diego R. Amancio

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

The use of ATMs has become fundamental in the banking industry owing to the values transacted using these systems and their 24/7 usage. Although several researchers have studied the role of biometrics in security applications for financial…

Computers and Society · Computer Science 2016-02-16 Benson M. Onywoki , Elisha T. Opiyo

To alleviate the congestion caused by rapid growth in demand for mobile data, wireless service providers (WSPs) have begun encouraging users to offload some of their traffic onto supplementary network technologies, e.g., offloading from 3G…

Networking and Internet Architecture · Computer Science 2014-02-04 Carlee Joe-Wong , Soumya Sen , Sangtae Ha
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