Abstract
The article examines the mathematical formalization problem of the state institutional potential in conditions of military crisis and the tasks of post-war reconstruction of Ukraine. The relevance of the work is due to the growing role of sustainable development institutions, the need to align strategic goals with current management decisions, and the lack of a unified approach to interpreting the concepts of “sustainable development” and “economic institute of sustainable development”. It is shown that existing approaches to assessing institutional potential mainly focus on its individual components, use qualitative or semi-quantitative methods and contain several methodological limitations related to the subjectivity of expert assessments, the heterogeneity of indicators and the insufficient justification of the weighting factors’ choice. The research aims to develop a mathematical formalization of institutional potential with an emphasis on economic institutions of sustainable development. To this end, the structure of institutional potential was analyzed, existing models of its measurement were critically evaluated, and an improved approach to describing the mechanism of governance institution functioning was proposed. The paper argues that the economic environment should be considered as a highly complex system within which macroeconomic, social, political, and behavioral factors interact, and in wartime, these relationships become even more unstable. Based on a systems approach, a mathematical scheme for assessing competitiveness in a multidimensional space of factors and determining the optimum zone of the objective function is proposed. A step-by-step transition from the current state to the optimal one is formalized through iterative management of impact parameters and minimization of resource costs within the institutional mechanism. It is emphasized that the practical implementation of the model requires constant adjustment due to the variability of priorities, the instability of influencing factors, and the dynamics of military risks. It is concluded that the effective use of Ukraine’s institutional potential is possible only under the conditions of further development of theoretical foundations, improvement of the regulatory framework and constant updating of mathematical models of institutional management.
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