The theoretical principles of modeling the process of evaluation of business strategies for ensuring sustainable economic development of iron ore enterprises are considered in the article, taking into account the current state of the domestic economy. The basic model of the situation of making a rational decision concerning the problem of optimization of business strategies in the conditions of uncertainty and conflict of the market environment is defined, which is a generalized matrix of the problem of mathematical programming, the solution of which is the optimal parameters of a mixed strategy for managing the sustainable development of iron ore enterprise. The procedure of multicriteria game-theoretic evaluation of alternatives in the application of mathematical theory of conflict situations in the work is recommended to be carried out according to a certain algorithm, which reflects the sequence of stages of modeling the effective evaluations of individual business strategies when using the functionals of evaluation with negative, but continuous. In the work it is proved that not only research of their optimality but also issues related to forecasting a guaranteed positive positive result is of particular importance when forming situations of financial and economic substantiation and making management decisions regarding individual business strategies of the enterprise. As a result of using the proposed methodological approaches, this study achieves a scientifically sound isolation of certain key business processes of the enterprise's production and economic system in order to carry out more in-depth analysis of problematic business operations and to make adequate strategic decisions regarding the prospects of sustainable economic development of the iron ore enterprises.

The subject of the research is the processes of ensuring the competitiveness of the potential of mining enterprises based on certain key aspects of methodology and practice of rational management of investment distribution, which are inherent in the investment and innovation activities of subsidiaries within the parent company. The purpose and objectives of the study is to improve theoretical and methodological approaches to increase the competitiveness of the potential of mining enterprises on the basis of rational management of the allocation of investment resources in the process of their innovative development. Method (methodology). Solving issues of rational allocation of investment resources from the standpoint of proper competitiveness of mining enterprises is proposed to be carried out according to the method of optimizing multi-stage processes - the problem of dynamic programming of resource allocation between enterprises based on the principle of optimality R. Bellman. Results. As a result of research it is established that the most important criterion for optimizing the program of innovative development on the basis of rational distribution of investment resources is to choose the cost of sales, due to the dependence of financial performance of mining companies on total costs. The implementation of the proposed method of optimizing the allocation of investment resources is considered on the example of jointly operating in one company mining companies. Conclusions. Based on the generalization of research on theoretical and practical aspects related to improving the efficiency of managing the competitiveness of resource and production potential of mining enterprises, a methodological approach to prioritizing the allocation of investment resources in the context of innovation development working together in one company. The application of the developed methodological approach in practice allows the top management of large vertically integrated companies to rationally direct the allocation of investment resources to the stable innovative development of subsidiaries.