Grant Research of the Graduating Department as a Basis for Transdisciplinary Approach in Training Bachelors in the Direction of “Applied Mathematics and Informatics”

This article presents a description of a transdisci-plinary project-research task, carried out within the framework of laboratory works on several disciplines of the 5th and 6th semesters of the educational process in the direction of bachelor's degree 01.03.02 “Applied Mathematics and Informatics” in the form of a meta-game “Designing a management system for sustainable development of the territory of the northern part of the Volga-Akhtuba floodplain”, developed on the basis of the results obtained by the team of teachers and researchers of the Department of Fundamental Informatics and Optimal Learning of the Volgograd State University implementing the RSF grant № 23-621-0017. The project-research task is aimed at the students' mastering the connection of substantive analysis of decision-making problems in the ecological-economic system with econometric, ecological-metric, expert, geoinformational, game-theoretic methods of research, methods of graph theory, integer optimization and computational experiment, methods and technologies of simulation hydrodynamic and geoinformational modeling and distributed computing. The relevance of the research topic proposed to the students is determined by the fact that nowadays all over the world the territories of floodplains of regulated rivers (FT) are subject to progressive ecological and socio-economic degradation due to the violation of the natural hydrological regime, depression of the river channel, high anthropogenic load. The assignment includes optimization of the hydraulic en-gineering project for installation of a system of flood dams by the Federal Center on the territory of the Volga-Akhtuba floodplain, taking into account the activity of its economic entities. To perform the work it is proposed to use the models and algorithms developed under the RSF grant: a program for calculating flood water dynamics, a geoinformational digital elevation model of the floodplain area, a heuristic algorithm for project optimization that can be adjusted to the specific data of the assignment, and models of two meta-games. The difference in the values of environmental and economic effects for different project variants allows us to study the problem of synthesizing an optimal mechanism for its co-financing by economic entities of the territory. Calculation of the target function of the Center is carried out by a given algorithm using digital maps of flood inundation built in the course of numerical simulation, increasing the total project resource. In order to study the problem of maximizing the project resource, the assignment provides for the study of a meta-game (the “Center-Agents” model) that allows different variants of the parties' awareness within the framework of two mathematical models of hierarchical games H2 (HO) and H1(H0). For numerical search of equilibria in the game of H0 agents we propose an algorithm developed within the framework of the RSF grant, which uses the method of “threat-counter- threats”. The second meta-game (the model “Federal Center-Municipal Center-Agents”) simulates the problem of managing the socio-economic development of the floodplain area. The assignment proposes to compare the effectiveness of the punishment and reward mechanisms used by the Federal Center to manage the process.