The paper provides an overview of research on the integration of evolutionary game theory (EGT) and multi-agent reinforcement learning (MARL). The main problems of MARL and the corresponding advantages of EGT are analyzed. As a result of the analysis, it was found that the implementation of EGT can effectively solve the problems of instability, credit allocation and partial observability in MARL, providing stable strategic convergence and a new path for group optimization. It is shown that the integration of EGT and MARL forms a promising theoretical and technical basis for a breakthrough in multi-agent control. At the same time, in order to deeply merge the two directions, integration mechanisms will have to be optimized in the future, more reliable algorithms will have to be developed, and applied research in complex heterogeneous systems will have to be strengthened. 

Keywords: evolutionary game theory, multi-agent reinforcement learning, multi-agent control, instability, credit allocation, partial observability

This article examines the results of computer simulations of adhesive bond tear testing. Simulation models of adhesive bond tearing were constructed taking into account two stages of sample testing, the geometric structure, and the physical and mechanical properties of the materials and adhesive. The modeling took into account the statistical dispersion of parameters at the micro-level of the process. The article describes the algorithm for the sample testing process and evaluates its behavior depending on the values ​​and variations of the material parameters.

Keywords: Computer simulation, model, tear test, adhesive bond, material strength, simulation results, stress concentration

Numerical values of the functional extrapolator of a fractal L–Markov process with a quasi-rational spectrum are obtained. The methods of correlation and regression analysis were used to calculate the predicted complex values for the lead time t. The analysis of the real and imaginary parts of the optimal extrapolator is carried out for all correct values of the lead time t. The coefficients of Pearson linear correlation and Kendall rank correlation are calculated, which indicate a high linear correlation between the real and imaginary parts of the extrapolator and their noticeable rank correlation. The representability of the optimal extrapolator for the lead time t in the form of a linear combination of the values of the fractal L–Markov process under study at five points of the L–boundary is proved. The calculated values of the beta coefficient and the Hurst index indicate the high reliability of the forecast constructed in the work.

Keywords: extrapolation, L – Markov process, fractality, trend tolerance, spectral characteristic, correlation and regression analysis, optimal extrapolator, risk