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The article is devoted to the study of the effectiveness of game theory in making business decisions regarding foreign economic activity by enterprises in conditions of uncertainty. The sources of information on this issue were analyzed and it was found that further development of the application of game theory in the foreign economic activity of enterprises is necessary. It has been established that the ambiguity of economic development trends, which has been especially evident in recent years in Ukraine and the world, and the instability of the market regulation mechanism encourage enterprises to look for new ways to overcome uncertainty in their activities. When solving economic problems, conflict situations often arise, which are caused by the conflicting interests of various structures. The mathematical apparatus for solving this type of problem is game theory, which is the theory of building mathematical models of optimal decision-making in conflict conditions. Game theory is a theoretical direction in science, a set of methods of mathematical analysis and assessment of the rules of behavior of participants in a conflict situation, which involves the interaction of two or more participants (players) in order for each of them to achieve their goals. The advantages of game theory are analyzed, in particular, the possibility of formalizing the process of considering typical scenarios of decision-making by the parties to the conflict and choosing the procedure for coordinating interests that will be optimal for all its participants. The main concepts, principles and classifications of game theory are presented, the foundations for understanding the use of game theory in economics are laid. Analyzing the usefulness of game theory in market competition, development of enterprise development strategy, investment activities and other areas, the possibility of wide application and effectiveness of game theory in decision-making regarding foreign economic activities of enterprises is shown.

The main goal of enterprises is to increase competitiveness and profitability, therefore they constantly strive to improve the operation of business processes, actively using the latest work methods and introducing modern technologies. One such tool is artificial intelligence, the use of which helps to work with huge databases, automate processes and increase the efficiency and quality of the work performed.

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