Abstract

Economic variables are important factors for explaining the dynamics of socio-economic processes and, as a rule, can be reflected in terms of results using abstract models. In conditions of uncertainty and under pressure from the external environment regarding the need to take into account non-economic factors, variables that are related and have a certain correlation with the result can be expressed in different values. To characterize the development processes of socio-economic systems as an object of management, a set of economic-mathematical models is used, among which the following are distinguished: optimization models, models of system dynamics, models of analysis and forecasting of financial reporting, models of discounting and value, conceptual model of ESG management. A structured review of the main generally recognized economic and mathematical methods and models shows that in the process of economic development, the level of technology, production efficiency, investments and other economic and non-economic factors have a certain influence on the direction and trajectory of economic growth, so companies should pay attention to the various influences of factors, to promote more stable development of economic activity. Mathematical models can specify abstract, non-quantitative problems, which is important in terms of sustainable development and the need to take into account non-economic parameters, mostly those that do not have a quantitative dimension. Such factors are difficult to take into account in traditional quantitative economic models. But thanks to the development of conceptual approaches and the use of various tools, the description, reasoning and calculation of relationships between processes and phenomena is possible with the help of quantitative and quantifiable non-quantitative parameters. As a result, economic-mathematical models play an important role in economic research and help solve practical problems on a scientific basis. In theory and in practice, there is a wide arsenal of development management tools. When modeling the company's economic development processes, it is important to consider it as an open socio-economic system consisting of interconnected elements that interact with the external environment. Such a system is presented through the functions performed by the business entity in the process of achieving the set goal, taking into account the conditions and circumstances through the search for possible alternatives. The performance of these functions involves a certain sequence of operations, the optimization of which leads to changes in the socio-economic system, and the actions, limited in time and aimed at the performance of relevant tasks, are modeled taking into account the need to solve problems or form new needs and satisfy potential requests.

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