Polynomial innovation diffusion models

Abstract In an earlier paper [42] the authors presented a comprehensive evaluation and extensions of available causal models of “binomial type” for describing the time pattern of the innovation diffusion processes. The binomial models are based on the assumption that the entire population can be divided into two groups—adopters of an innovation and the potential adopters—such that eventually everyone adopts the innovation and an innovation once adopted is never rejected. However, many examples can be cited where this assumption is unrealistic. Therefore this paper presents some polynomial innovation diffusion models that are less restrictive compared with the binomial models. The paper also shows the link between the polynomial diffusion process and the multilevel technological substitution process.

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