Development of information technologies at the present stage allows switching over to a higher level of interaction between business and clients. Worldwide trend in attempts to find a potential consumer is customization of marketing impact. This paper is dedicated to interactive communication modeling through evaluation of feedback to commercial brands promotion via all possible consumer preference influencing channels. The paper establishes formalisms, plots mathematical model of products promotion by means of digital platforms and gives calculation of optimized regimes. The paper shows results of investigations performed by means of elaborated mathematical model on a particular example. The paper substantiates efficiency of elaborated mathematical model employment (under the conditions of market uncertainty) for making managerial decisions in various products and services promotion areas and also for the purpose of short-term and long-term business planning.

We proposed a new approach to solving the problem of operational analysis and medium-term forecasting of the greenhouse gas generation (CO₂, CH₄) intensity in a certain area of the cryolithozone using data from a geographically distributed network of multimodal measuring stations. A network of measuring stations, capable of functioning autonomously for long periods of time, continuously generated a data flow of the CO₂, CH₄ concentration, soil moisture, and temperature, as well as a number of other parameters. These data, taking into account the type of soil, were used to build a spatially distributed dynamic model of greenhouse gas emission intensity of the permafrost area depending on the temperature and moisture of the soil. This article presented models for estimating and medium-term predicting ground greenhouse gases emission intensity, which are based on artificial intelligence methods. The results of the numerical simulations were also presented, which showed the adequacy of the proposed approach for predicting the intensity of greenhouse gas emissions.

The article is devoted to the approaches that can be applied in the distribution of Arctic resources between the main reference countries of this region. The objective economic nature of the problems that arise in this region makes it possible to characterize them as a competition of claims for a limited and potentially dynamically changing resource. At a formal level, this problem has a general nature and it is typical for many areas of modern economy. At the same time, it is impossible to deny its specifics, which imposes significant restrictions on possible methods of solution. In recent years, problems in the sphere of interstate cooperation under conditions of limited resources have significantly increased. In such a situation, scientific and practical research in the field of mechanisms for regulating the relations between the parties (economic entities) becomes interesting. In analyzing the mechanisms of distribution of limited resources, one can use the theory of cooperative games, mathematical models of resource rationing, as well as works on the study of problems of equitable distribution (s.c. Fair Divisions). In the framework of such tasks, the range of applicants for limited resources can be limited to countries or regions directly adjacent. The process can be include of “external players” who have sufficient investment potential. The subsequent development and analysis of the problems of regulating intercountry interaction are associated with mathematical formalization. Such formalization presupposes a description of the situation of competitive interaction between countries in the form of a stochastic cooperative game. An analysis of possible concepts for the solution of this game will lead to meaningful conclusions about specific schemes (mechanisms) of rationing.