The article examines the network model of district management within the subsidized region from the point of view of the upper level, taking into account the optimal response of the districts – the Stackelberg equilibrium is found. The results obtained are compared with the corresponding results in the creation of horizontal and integrated coalitions of districts and the region. The author examines the preference for creating coalitions for all participants in the system. It has been proven that cooperation is more profitable for weak and medium-sized districts, hierarchy is more profitable for a strong district, and independence is more profitable for the region as for the upper level. It is not profitable for the strong elements of the system to join a coalition, while it is more profitable for the weak elements to join a coalition.

Keywords: network model, Nash equilibrium, Stackelberg equilibrium, resource allocation, Lagrange multiplier method, cooperation, horizontal coalition, maximal coalition, complex coalition, independent behavior

In the article the sustainability of the network model of districts within the subsidized region is investigated both in terms of each of their dynamic parameters: fixed assets, labor population and its efficiency; and in their combination. In addition, the problem of the lower level in the hierarchical system is solved in the form of a Nash equilibrium – optimal district strategies are found for a given known distribution of subsidies by the region between them. It has been revealed that if there are subsidies to the district, agents do not care how much money is allocated to the development of the district, since all consumption of the district is provided by subsidies, and there are no subsidies to the district, it has to spend 90% of gross product to invest in production.

Keywords: continuous dynamic model, discrete dynamic model, subsidized region, target functions, share of investments, relationships between districts, fertility rate, mortality rate, fixed assets, labor population, Nash equilibrium

The paper presents an analysis of existing issues in the subject area, upon which research findings are formed to enhance the quality of the tourist experience through the implementation of a software-mathematical complex aimed at generating personalized recommendations. The task of managing tourist resources is addressed by considering the decision support process through the introduction of multi-criteria optimization and fuzzy logic. Such mechanisms significantly improve the accuracy of forming personalized recommendations that meet individual user requests. As an individual algorithm, a method is proposed for introducing ontological hierarchical types of connections that capture generic and object-oriented relationships of tourism categories, characterizing the influence on tourist objects. In addition, to accommodate flexible, poorly formalized user requests, fuzzy logic mechanisms are introduced by implementing fuzzy evaluation scales. The paper presents a description of the implementation of the recommendation algorithm, which possesses scientific novelty and practical significance. A class diagram details the structure of the ontological hierarchical model presented in the work. Based on the provided research results, the effectiveness of the algorithm is tested through test calculations.

Keywords: tourism, tourism optimization, recommendation systems, fuzzy logic, multi-criteria optimization, mobile development

In the article a modification of the socio-ecological-economic model of regions within a macroregion to a network model of districts within a subsidized region is built, taking into account the distances between them that affect the economic relationships of the regions. Structural identification of the model parameters is carried out using the example of data from the Republic of Kalmykia of the Russian Federation. The aim of the research is to build the region hierarchy model to analyse that control the district developing to maximize gross regional product. To do this, some relations of the Solow model were reconsidered and some functions were rebuilt including birth and death coefficients. The influence on gross regional product of Innovative index was also investigated and the value of Republic of Kalmykia is found. Network structure taking into account distances between the districtd is included into the model.

Keywords: network model, structural identification of parameters, subsidized region, payoff functions, economic interrelations of regions, birth rate, death rate, innovation index, fixed assets, labor force, final product, gross regional product