Practical application of decision-making system software in the game with nature in the educational process

Abstract

The article is devoted to the use of game theory in the educational process. The basic concepts of this mathematical field in the section “Games with Nature” and the wide possibilities of its application in the modern world are considered. An overview of probabilistic models of strategies based on the most common criteria of games with nature: Wald, Savage, and Hurwitz criteria is given. This paper explores the practical application of decision-making systems software in the context of educational games that model interaction with the natural environment. The potential of using game theory as a methodological basis for the development of such games that promote the development of decision-making skills under conditions of uncertainty is considered. Particular attention is paid to the analysis of decision-making criteria that can be integrated into the software, as well as to learning methods based on game experience. The research is aimed at identifying effective approaches to the use of decision-making systems to improve the quality of the educational process by engaging students in active interaction with models of natural systems. The issue of decision-making by a teacher using the model of stochastic game with nature is considered. Particular attention is paid to its use in solving the problem of choosing a teaching strategy by a teacher depending on the heterogeneous capabilities of students. An example of the use of the developed algorithmic and software of the decision-making system in the game with nature, the results of computer modeling of the problem are presented. The expediency of applying game theory under conditions of uncertainty to choose the optimal strategy and reduce the time spent on decision-making is substantiated.

Key words: game theory; educational process; decision-making criteria; teaching methods, conditions of uncertainty.