Diffusion of Innovations on Deterministic Topologies
نویسندگان
چکیده
In this paper, we are interested in modeling diffusion of innovations on social networks. We focus on a scenario where innovation emerges at a small number of nodes in the society, and each individual needs certain portion of his neighbors (thresholds) to adopt the innovation before he does so. We analyze the dynamics of the diffusion process under deterministic topologies and threshold values. We show that the diffusion process depends on both the topology and threshold values through so called coherent sets. We investigate several interesting topologies, and utilize coherent set argument to determine the behavior of the process on these topologies.
منابع مشابه
Knowledge epidemics and population dynamics models for describing idea diffusion
The diffusion of ideas is often closely connected to the creation and diffusion of knowledge and to the technological evolution of society. Because of this, knowledge creation, exchange and its subsequent transformation into innovations for improved welfare and economic growth is briefly described from a historical point of view. Next, three approaches are discussed for modeling the diffusion o...
متن کاملModels of science dynamics - encounters between complexity theory and information sciences CHAPTER 3 Knowledge epidemics and population dynamics models for describing idea diffusion
The diffusion of ideas is often closely connected to the creation and diffusion of knowledge and to the technological evolution of society. Because of this, knowledge creation, exchange and its subsequent transformation into innovations for improved welfare and economic growth is briefly described from a historical point of view. Next, three approaches are discussed for modeling the diffusion o...
متن کاملModeling diffusion of innovations with probabilistic cellular automata
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.
متن کاملThe Need for a Dynamic Approach to Health System-Centered Innovations; Comment on “What Health System Challenges Should Responsible Innovation in Health Address? Insights From an International Scoping Review”
Lehoux and colleagues plea for a health systems perspective to evaluate innovations. Since many innovations and their scale-up strategies emerge from processes that are not (centrally) steered, we plea for any assessment with a dynamic, instead of a sequential, approach. We provide further guidance on how to adopt such dynamic approach, in order to better un-derstand an...
متن کاملOn generalized topologies arising from mappings
Given a mapping $f:Xto X$ we naturally associate to it a monotonic map $gg_f:exp Xto exp X$ from the power set of $X$ into itself, thus inducing a generalized topology on $X$. In this paper we investigate some properties of generalized topologies which are defined by such a procedure.
متن کامل