In this paper the authors introduce a model for the mathematical support of the decision-making process during the evaluation of investment projects. As an example, the sphere of investing in Smart City development projects is considered. The emphasis in the model is placed on the multifactorial nature of the task in the search of rational financial strategies carried out by investor groups. The model particularly allows groups of investors (players) to evaluate the attractiveness and financial potential of the analyzed projects. At the same time, players can exercise control over a dynamic system in multidimensional project spaces. The model implies subsequent software implementation in a decision support system (DSS) or an expert system for cross-platform software products.

The results presented in the article have been obtained through computational experiments based on the solution of a bilinear multi-step quality game with several terminal surfaces. The scientific novelty of the research lies in the fact that, in contrast to existing solutions and related to conceptual direction of research, the article first considers a new class of multi-step bilinear games. The proposed solution provides an opportunity to correctly and adequately describe the investment processes, given the multifactorial nature of the problem statement. Computational experiments were performed in the MatLab system to search for sets of investors’ preferences and their optimal financial strategies during the analysis of Smart City development projects. The results of computational experiments have proved and confirmed the correctness and adequacy of the model.