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The study of competition among brands in a common category is an interesting strategic issue for involved firms. Sales monitoring and prediction of competitors' performance represent relevant tools for management. In the pharmaceutical…

Applications · Statistics 2016-02-10 Renato Guseo , Cinzia Mortarino

With the advent of social media, different companies often promote competing products simultaneously for word-of-mouth diffusion and adoption by users in social networks. For such scenarios of competitive diffusion, prior studies show that…

Social and Information Networks · Computer Science 2019-11-14 Jun Zhao , Junshan Zhang

Different technological domains have significantly different rates of performance improvement. Prior theory indicates that such differing rates should influence the relative speed of diffusion of the products embodying the different…

Economics · Quantitative Finance 2018-06-01 JongRoul Woo , Christopher L. Magee

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

In this text, we study the temporal behavior of markets using models expressible as ordinary differential equations. The markets studied are those where each customer buys only one copy of the good, for example, subscription of smartphone…

Economics · Quantitative Finance 2015-11-24 Jan A. Audestad

Will a new smartphone application diffuse deeply in the population or will it sink into oblivion soon? To predict this, we argue that common models of spread of innovations based on cascade dynamics or epidemics may not be fully adequate.…

Social and Information Networks · Computer Science 2021-03-02 Fabio Fagnani , Lorenzo Zino

An important assumption lying behind innovation diffusion models and word-of-mouth processes is that of homogeneous mixing: at any time, the individuals making up the market are uniformly distributed in space. When the geographical…

Physics and Society · Physics 2009-04-29 Elena Agliari , Raffaella Burioni , Davide Cassi , Franco Maria Neri

This work introduces a novel modified Replicator Dynamics model, which includes external influences on the population. This framework models a realistic market into which companies, the external dynamic influences, invest resources in order…

Computer Science and Game Theory · Computer Science 2019-11-11 Elijah D. Bolluyt , Cristina Comaniciu

The dynamics of dispersal-structured populations, consisting of competing individuals that are characterized by different diffusion coefficients but are otherwise identical, is investigated. Competition is taken into account through…

Biological Physics · Physics 2020-04-15 E. Heinsalu , D. Navidad Maeso , M. Patriarca

In this paper, we propose a two-layer adoption-opinion model to study the diffusion of two competing technologies within a population whose opinions evolve under social influence and adoption-driven feedback. After adopting one technology,…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Martina Alutto , Fabrizio Dabbene , Angela Fontan , Karl H. Johansson , Chiara Ravazzi

The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innovations over multiplex social networks…

Social and Information Networks · Computer Science 2014-08-26 Rasoul Ramezanian , Mostafa Salehi , Matteo Magnani , Danilo Montesi

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

An analytic model is presented that considers the evolution of a market of durable goods. The model suggests that after introduction goods spread always according to a Bass diffusion. However, this phase will be followed by a diffusion…

General Finance · Quantitative Finance 2013-06-17 Joachim Kaldasch

We study the competition of two spreading entities, for example innovations, in complex contagion processes in complex networks. We develop an analytical framework and examine the role of dual users, i.e. agents using both technologies.…

Physics and Society · Physics 2018-11-30 Byungjoon Min , Maxi San Miguel

We propose a model for the diffusion of several products competing in a common market based on the generalization of the Ising model of statiscal mechanics (Potts model). Using an agent based implementation, we analyze two problems: (i) a…

Applications · Statistics 2015-06-16 Carlos E. Laciana , Nicolas Oteiza Aguirre

Global marketing managers are interested in understanding the speed of the new product diffusion process and how the speed has changed in our ever more technologically advanced and global marketplace. Understanding the process allows firms…

Applications · Statistics 2012-06-29 Brian M. Hartman , Bani K. Mallick , Debabrata Talukdar

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

We study the equilibrium points of a system of equations corresponding to a Bass based model that describes the diffusion of two brands in competition. To increase the understanding of the effects of the cross-brand parameters, we perform a…

Social and Information Networks · Computer Science 2015-06-19 C. E. Laciana , G. Gual , D. Kalmus , N. Oteiza-Aguirre , S. L. Rovere

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

Competition is one of the most fundamental phenomena in physics, biology and economics. Recent studies of the competition between innovations have highlighted the influence of switching costs and interaction networks, but the problem is…

Physics and Society · Physics 2011-01-06 Carlos P. Roca , Moez Draief , Dirk Helbing
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