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The complexity and interdependence of management and decision-making problems in the system of higher education require new ideas and approaches, which necessitates the search for new management solutions using modern approaches and methods of economic and mathematical modeling. The article is devoted to the problem of optimal allocation of budget places for higher education institutions by specialty. The conducted research shows that the priorities of the state, labor market and consumers do not coincide. In this situation, the university, as a provider of educational services, must balance the demand of the consumer (applicants, students and their parents) with the offers of the customer (the state, entrepreneurs, the labor market), taking into account the forecast of demand in the labor market. The purpose of the study is to determine the optimal allocation of budget places for higher education institutions considering financial constituents, system analysis and the game theory method. A solution to the problem is offered by building an economic-mathematical model using game theory techniques and methods of analyzing hierarchies, which have a powerful apparatus for considering many different models, approaches and concepts for solving the same problem. The presented mathematical model allows to obtain a balanced optimal distribution of budget places by university specialties, which harmonizes the demands of applicants and employers. The budgetary expenditures for higher education are an effective regulator of direct action on the training of specialists with higher education and an instrument of state regulation of the number of state-ordered students. Based on the results of the study, the model of distribution of the institution's budget expenditures for decision-making management is proposed, which allows redistributing funds to expenditure items that are included in the development expenditures of higher education institutions. Further development of the described model in the direction of researching the impact on existing restrictions on the market of educational services will allow offering powerful mechanisms and technologies for managing the process of forming optimal strategies for the development of higher education institutions. [ABSTRACT FROM AUTHOR]

The article is devoted to the analysis of the efficiency of higher education funding from the perspective of higher education applicants (cost of education) and from the perspective of the state (budget expenditures, investments in preparation of specialists). The article contains the main indicators of socioeconomic development of the OECD countries and Ukraine. The analysis has shown that in Ukraine the amount of higher education expenditures as a percentage of GDP has an average value compared to the OECD countries, while this amount in monetary terms is significantly lower than in other countries. The efficiency of higher education costs for the individual and expenditures for the state in the OECD countries and in Ukraine have been evaluated. The efficiency of individual costs of higher education is calculated using the discounted cash flow method, applied to the cost of education and the difference in wages between qualified and unqualified personnel. The efficiency of public spending on higher education (investment in the training of specialists) is calculated using the discounted cash flow method applied to the share of public spending on higher education and GDP growth generated by labor with better skills. The results of the calculations have shown that the efficiency of state expenditures on higher education is higher than the efficiency of individual costs. [ABSTRACT FROM AUTHOR]