As a result of the analysis, the classification of existing and proposed models of the spread of innovations was given. The six classes of these models were singled out: spatial models, diffusion models, network models, strategic models, cellular automata models, econophysical models. The models were classified according to the mathematical apparatus; accounting for the mutual influence of innovations; the possibility of constructing an algorithm for control of the spread of innovations; analogies to define the metrics and the equations. There were limitations in the use of the first five classes. These restrictions are mainly related to their descriptive nature which does not take into account, among other things, the effect of the mutual influence of innovations. The econophysical class of models allows to give quantitative estimations and to build algorithms for control of the spread of innovations. It is more effective to use the methods of multi-agent simulation to implement these models
Keywords: the control of the spread of innovations, diffusion of innovation, the econophysical model, the comparative analysis of models, multi-agent simulation
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