Risk involves identifying several options that the decision-maker can opt for while making a choice either in the direction of risk or reliability. In this approach, risk is defined as the action of the subject which will lead to the loss or guaranteed safety of what has been achieved. As the uncertainty of the external business environment increases for companies, the task of managing risks both individually and as a set of risks becomes more and more relevant. The purpose of this study is to solve the problem of managing multifactorial risks using mathematical methods for determining the optimal risk management trajectories separately for each factor. To determine the optimal risk management trajectories for each factor, a numerical method is used based on the choice of the most effective direction, which is defined as the ratio of risk change to cost change. An information system prototype has been created that can support the management of a set of risks. Approbation of the information system was carried out on an example containing two conceptual risk factors. The proposed prototype builds a three-dimensional risk map by interpolating the risk matrix entered by the risk manager using an additive–multiplicative aggregation procedure, as well as optimal risk management trajectories for all entered risk factors.

The new applications of annual fiscal accounting analysis at the risk assessment are discussed in this paper. The system analysis methods that can be used to identify the industry or sector of the companies based on their annual fiscal accounting are described. All necessary calculations and computer modeling can be made in the special computer program...

The article describes the training business simulation game "Commercial property management in a competitive environment" and a special software module. The suggested business simulation game and the created computer simulator are used for training the students, who study in the field "Expertise and management of real estate property". Several examples of game scenarios and results are given to demonstrate their application in the training and educational process. The game simulator allows students to obtain the following knowledge: the commercial property management task is cognitively complex; the optimal allocation of costs for the development and promotion of commercial property depends on the objective function, which can be profit or index of profitability; for shopping centers, the optimization problem has a sustainable solution to the opponent's actions, but such solutions are unstable to the behavior of customers and their preferences; in the case where students select the minimum costs of development and promotion of shopping centers, the profit becomes negative, it explains the necessity of development and promotion of commercial property; in another case – students select the maximum cost, the effect of an "excessive utility" arises. The main result of the game-like training is that students acquire new decision-making skills in the tasks of commercial property management in a competitive environment.