Abstract

The article proposes a mathematical model for the elaboration of a program for the development of the mineral resource industries. It explicitly formalizes the mechanism of public-private partnership and takes into account the negative impact of mining technologies on the environment. The model is based on the Stackelberg game and the tools of bi-level mathematical programming. This makes it possible to take into account the peculiarities of the hierarchy of interaction between the government bodies and the private investor in the mineral resource sector and to build a practical methodology for the formation of a "green" program for the natural resources’ use. The model database is built on the basis of special predictive models that describe in detail the processes of implementing various types of projects. The proposed approach has been tested on real data describing a fragment of the mineral resource base of the Trans-Baikal Territory. The goal of the numerical experiment is to assess the correlation of the investment policy effectiveness formed in the model on the quality of the investment climate, the scale of costs for environmental protection measures and the cost assessment of the environmental damage generated by the applied mining technologies. The simulation results allow us to formulate a number of conclusions for the development of strategic plans for the construction of industrial infrastructure, attracting a private investor who is ready to work in line with the ideas of “green” economy.

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