SUMMARY
A model for managing the investment process has been proposed, using an example of investing in information technologies (IT) taking into consideration that a given process is multifactorial in character. The difference between our model and those constructed previously is that, firstly, it considers the investment process as a complex structure, for which it is not enough to model it as a one-factor category. Secondly, our model is based on solving a bilinear multi-step quality play with several terminal surfaces. The solution has been derived within a new class of bilinear multi-step games that describe the interaction of objects in multidimensional space. Consideration of the investment process in such a statement provides an opportunity to adequately describe the process of finding rational strategies of players in the course of investing in information technologies. The study conducted has made it possible to implement the model’s programming code in the MATLAB simulation environment. Software product, the decision support system "IT INVESTMENT", has been developed. The mathematical core of the DSS is based on the application of a new class of bilinear differential games. The proposed solution makes it possible to find the optimal investment strategies for potential investors; its application enabled to reduce the discrepancies between forecasting data and actual return on investment, for example, in IT projects. The resulting solution has made it possible to represent graphically the sets of preferences of investors in the process of investing in IT projects, taking into consideration the multifactor character in multidimensional space. It has been shown that such an approach, combined with the application of computer simulation and DSS, would provide an investor with wider opportunities to analyze and choose rational financial strategies