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.