Some Applications of the Results of Solving the Problem of Tuning for the Analysis of the Phenomenon of Intervention in the Economy

The article discusses the development of a new stochastic model in the analysis of the intervention phenomenon in economics. We provide the theoretical fundamentals, as well as the importance and the applicability of the development of an intervention theory based on mathematical modelling. An overview of the literature on the implementation of mathematical modelling in the analysis of interventions is provided. We present the general structure of a new stochastic model of intervention, that is based on the idea of a controlled external influence, produced once the process reaches some specified set of boundary conditions. It is shown that the model represents a controlled Markov process with discrete time. The method of solving the task of the optimization of intervention is provided and it uses the results of solving the general stochastic problem of tuning.