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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

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

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

We introduce a heterogeneous network structure into the Bass diffusion model, in order to study the diffusion times of innovation or information in networks with a scale-free structure, typical of regions where diffusion is sensitive to…

Physics and Society · Physics 2016-07-06 M. L. Bertotti , J. Brunner , G. Modanese

Innovation diffusion has been studied extensively in a variety of disciplines, including sociology, economics, marketing, ecology, and computer science. Traditional literature on innovation diffusion has been dominated by models of…

Social and Information Networks · Computer Science 2017-05-26 Haifeng Zhang , Yevgeniy Vorobeychik

We consider the diffusion of new products in social networks, where consumers who adopt the product can later "recover" and stop influencing others to adopt the product. We show that the diffusion is not described by the SIR model, but…

Physics and Society · Physics 2017-05-22 Gadi Fibich

The Bass model, which is an effective forecasting tool for innovation diffusion based on large collections of empirical data, assumes an homogeneous diffusion process. We introduce a network structure into this model and we investigate…

Physics and Society · Physics 2017-05-03 M. L. Bertotti , J. Brunner , G. Modanese

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

Collective adaptation, whether in innovation adoption, pro-environmental or organizational change, emerges from the interplay between individual decisions and social influence. Agent-based modeling provides a useful tool for studying such…

Physics and Society · Physics 2025-10-29 Angelika Abramiuk-Szurlej , Katarzyna Sznajd-Weron

This paper synthesises the existing research on the dynamics of innovation diffusion, with a focus on Bass-type models and their extensions. The theoretical foundation of innovation diffusion proposed by Rogers (1962) and the seminal work…

General Economics · Economics 2026-02-24 Nicolas Langrené , Rui Liu , Xiangqin Wu , Tianhao Zhi

Bass (1969) proposed a model (the Bass model) for the timing of adoptions of a new product, where the adoption rate increases with the number of past adoptions. This model has been widely used in marketing and operations management…

Probability · Mathematics 2022-03-14 Mengzhenyu Zhang , Hyun-Soo Ahn , Joline Uichanco

We consider a network of interacting agents and we model the process of choice on the adoption of a given innovative product by means of statistical-mechanics tools. The modelization allows us to focus on the effects of direct interactions…

Physics and Society · Physics 2015-02-24 Paolo Sgrignoli , Elena Agliari , Raffaella Burioni , Augusto Schianchi

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

Statistical Mechanics · Physics 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas

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

Knowledge acquisition by consumers is a key process in the diffusion of innovations. However, in standard theories of the representative agent, agents do not learn and innovations are adopted instantaneously. Here, we show that in a…

Economics · Quantitative Finance 2018-07-02 Jean-Francois Mercure

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

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

The diffusion of innovations theory has been studied for years. Previous research efforts mainly focus on key elements, adopter categories, and the process of innovation diffusion. However, most of them only consider single innovations.…

Computers and Society · Computer Science 2023-10-31 Fuqi Lin

Diffusion of innovation can be interpreted as a social spreading phenomena governed by the impact of media and social interactions. Although these mechanisms have been identified by quantitative theories, their role and relative importance…

Physics and Society · Physics 2014-10-24 Márton Karsai , Gerardo Iñiguez , Kimmo Kaski , János Kertész

The diffusion of innovations is an important topic for the consumer markets. Early research focused on how innovations spread on the level of the whole society. To get closer to the real world scenarios agent based models (ABM) started…

Social and Information Networks · Computer Science 2021-01-28 Natasa Vodopivec , Carole Adam , Jean-Pierre Chanteau
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