6 papers
Optimal promotions of new products on networks
Gadi Fibich, Amit Golan
We present a novel methodology for analyzing the optimal promotion in the Bass model for the spreading of new products on networks. For general networks with nodes, the optimal…
Funnel theorems for spreading on networks
Gadi Fibich, Tomer Levin, Steven Schochet
We derive novel analytic tools for the Bass and SI models on networks for the spreading of innovations and epidemics on networks. We prove that the correlation between the nonadopt…
Monotone convergence of spreading processes on networks
Gadi Fibich, Amit Golan, Steven Schochet
We analyze the Bass and SI models for the spreading of innovations and epidemics, respectively, on homogeneous complete networks, circular networks, and heterogeneous complete netw…
Boundary Effects in the Diffusion of New Products on Cartesian Networks
Gadi Fibich, Tomer Levin, Kenneth Gillingham
We analyze the effect of boundaries in the discrete Bass model on D-dimensional Cartesian networks. In 2D, this model describes the diffusion of new products that spread primarily…
Universal Bounds for Spreading on Networks
Gadi Fibich, Tomer Levin
Spreading (diffusion) of innovations is a stochastic process on social networks. When the key driving mechanism is peer effects (word of mouth), the rate at which the aggregate ado…
Compartmental limit of discrete Bass models on networks
Gadi Fibich, Amit Golan, Steve Schochet
We introduce a new method for proving the convergence and the rate of convergence of discrete Bass models on various networks to their respective compartmental Bass models, as the…