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Goods, styles, ideologies are adopted by society through various mechanisms. In particular, adoption driven by innovation is extensively studied by marketing economics. Mathematical models are currently used to forecast the sales of…

物理与社会 · 物理学 2014-04-02 Baptiste Coulmont , Virginie Supervie , Romulus Breban

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…

综合金融 · 定量金融 2013-06-17 Joachim Kaldasch

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…

社会与信息网络 · 计算机科学 2016-06-13 Vahideh H. Manshadi , Sidhant Misra

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…

物理与社会 · 物理学 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…

物理与社会 · 物理学 2017-05-03 M. L. Bertotti , J. Brunner , G. Modanese

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…

经济学 · 定量金融 2015-11-24 Jan A. Audestad

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…

综合经济学 · 经济学 2026-02-24 Nicolas Langrené , Rui Liu , Xiangqin Wu , Tianhao Zhi

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…

经济学 · 定量金融 2018-07-02 Jean-Francois Mercure

We propose a new model about diffusion of a product which includes a memory of how many adopters or advertisements a non-adopter met, where (non-)adopters mean people (not) possessing the product. This effect is lacking in the Bass model.…

物理与社会 · 物理学 2016-06-28 Tohru Tashiro

There are clear benefits associated with a particular consumer choice for many current markets. For example, as we consider here, some products might carry environmental or `green' benefits. Some consumers might value these benefits while…

综合金融 · 定量金融 2008-12-02 Gérard Weisbuch , Vincent Buskens , Luat Vuong

Two general patterns have been identified for the adoption and subsequent abandonment of ideas or products within a population. One is symmetric, so that concepts or products which are adopted rapidly then decline rapidly from their peak,…

物理与社会 · 物理学 2009-06-15 R. Alexander Bentley , Paul Ormerod

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…

概率论 · 数学 2022-03-14 Mengzhenyu Zhang , Hyun-Soo Ahn , Joline Uichanco

Much research has been conducted on how consumption is related to human relations, for example, consumer communities organized around specific brands, or the way people use products to define their own identity and transmit a desired image.…

社会与信息网络 · 计算机科学 2024-01-10 Lizardo Vargas-Bianchi

The ranking of possible alternatives during the design or operation of an industrial process leads to the definition of a solution representing the best compromise between several contradictory objectives. The choice of solution is a…

最优化与控制 · 数学 2024-09-10 L N Kiss , C Fonteix , M Camargo , L Morel , J Renaud

We consider the diffusion of new products in the discrete Bass-SIR model, in which consumers who adopt the product can later "recover" and stop influencing their peers to adopt the product. To gain insight into the effect of the social…

物理与社会 · 物理学 2017-05-22 Gadi Fibich

A dynamic model of the product lifecycle of (nearly) homogeneous durables in polypoly markets is established. It describes the concurrent evolution of the unit sales and price of durable goods. The theory is based on the idea that the sales…

其他统计学 · 统计学 2015-09-14 Joachim Kaldasch

A micro-level agent-based model of innovation diffusion was developed that explicitly combines (a) an individual's perception of the advantages or relative utility derived from adoption, and (b) social influence from members of the…

社会与信息网络 · 计算机科学 2015-06-12 Carlos E. Laciana , Santiago L. Rovere , Guillermo P. Podestá

Choice modeling is at the core of understanding how changes to the competitive landscape affect consumer choices and reshape market equilibria. In this paper, we propose a fundamental characterization of choice functions that encompasses a…

计量经济学 · 经济学 2024-02-21 Amandeep Singh , Ye Liu , Hema Yoganarasimhan

Does a new product spread faster among heterogeneous or homogeneous consumers? We analyze this question using the stochastic discrete Bass model, in which consumers may differ in their individual external influence rates $\{p_j \}$ and in…

最优化与控制 · 数学 2022-01-28 Gadi Fibich , Amit Golan

We consider hundreds of thousands of individual economic transactions to ask: how predictable are consumers in their merchant visitation patterns? Our results suggest that, in the long-run, much of our seemingly elective activity is…

物理与社会 · 物理学 2013-05-07 Coco Krumme , Alejandro Llorente , Manuel Cebrián , Alex , Pentland , Esteban Moro
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