A 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 upgrade their level or not, balancing their possible benefit with the upgrading cost. A critical point where technological avalanches display a power-law behavior...

The scientific legacy of Zvi Griliches’ contribution to the economic analysis of the diffusion of technological innovations is the subject of this paper. It begins with an examination of the relationship between Griliches’ pioneering empirical work on the introduction and adoption of hybrid corn and the subsequent development of theoretical models and econometric research on the microeconomic d...

South Africa is attempting to rewrite its history as a national heritage of empowered citizens working in close collaboration with the government. Recognising the inherent capabilities in fast-tracking development, ICT is regarded as a critical success factor in delivering development innovations in rural communities. However, the ICT innovations do not include the collaboration element. This p...

We analyze diffusion models on sparse random networks with neighborhood effects. We show how large cascades can be triggered by small initial shocks and compute critical parameters: contagion threshold for a random network, phase transition in the size of the cascade.

We present a family of one-dimensional cellular automata modeling the diffusion of an innovation in a population. Starting from simple deterministic rules, we construct models parameterized by the interaction range and exhibiting a second-order phase transition. We show that the number of individuals who eventually keep adopting the innovation strongly depends on connectivity between individuals.

Dilemmas associated with moving effective curricular and pedagogical practices and programs into broader use among educators have persisted for years. Acknowledgment of these problems, referred to variously as issues of dissemination, knowledge use, scale up, technology transfer, or diffusion, have given rise over the years to organized efforts to reverse gaps between research evidence about ef...

The origins of the diffusion innovations theory are varied and span across various disciplines, in a sort contexts. Innovation framework is how, why, at what rate new ideas, concepts, technology, technical information, actual practices spread or diffuse through cultures system. When happen, may be from innovator (a state government) to any other groups (states governments). inquiries policy inn...