Demographic processes in a model of innovation diffusion with dynamic market

In this paper we study a binomial innovation diffusion model for a variable size market by modelling the demographic process of entrance-exit from each market compartment. We examine from a theoretical point of view the effect of the simultaneous presence of economic and demographic parameters under the exponential market growth hypothesis, by presenting some general results on the adoptions and sales time path. We also enlighten the relevance of considering these variables in relative terms and show how, in presence of a dynamic, the diffusion process never saturates the market. Finally, we test our model on a data set for cellular phones market in different countries.