Choosing the optimal offense strategies is an important aspect that has a great impact on the competitive performance of a basketball team. In this regard, the coach needs, firstly, to have a strategic plan for the season depending on the profile of each player, and secondly, to be able to make changes in it promptly, based on the current performance of the game activity as his own team. This article attempts to identify a set of most and least preferred technical actions on offense for each combination of playing threes in a 3x3 basketball team. For this purpose, an approach from game theory was used, which is based on determining the pay-off functions of each basketball player.
3X3 BASKETBALL, OFFENSE STRATEGIES, ANALYSIS OF STATISTICAL METRICS, GAME THEORY, PAYOFF FUNCTION
1. Konik I.V. Algoritm opredeleniya poleznosti igroka i ego roli v basketbol'noy komande 3h3 / I.V. Konik, A.V. Laptev // Uchenye zapiski universiteta im. P.F. Lesgafta. - 2022. - № 11 (213). - S. 268-272. EDN: https://elibrary.ru/FIIWTJ
2. Shtab E.V. Basketbol 3h3: osobennosti i otlichiya ot klassicheskogo basketbola / E.V. Shtab, A.V. Laptev, O.V. Samohvalov // Innovacionnye tehnologii v sportivnyh igrah: Materialy II Vserossiyskoy nauchno-prakticheskoy konferencii s mezhdunarodnym uchastiem (Malahovka, 1-2 marta 2023 g). - Malahovka: Moskovskaya gosudarstvennaya akademiya fizicheskoy kul'tury, 2023. - S.218-224. EDN: https://elibrary.ru/JWYYFL
3. Azar O. Do soccer players play the mixed-strategy Nash equilibrium? / O. Azar, M. Bar-Eli // Applied Economics. - URL: https://wwwresearchgate.net/publication/46445364_Do_soccer_play-ers_play_the_mixed-strategy_Nash_equilibrium (data obrascheniya: 26.04.2023).
4. A. Yee Analysis of Strategies in American Football Using Nash Equilibrium / A. Yee, R. Rodriguez, M. Alvarado // Artificial Intelligence: Methodology, Systems, and Applications: proceedings of 16th International Conference (Varna, Bulgaria, 11-13 September 2014). - USA: Springer, 2014. - S. 286294.
5. Spaniel W. The Game Theory of Soccer Penalty Kicks // W. Spaniel. - URL: https://wil-liamspaniel.com/2014/06/12/the-game-theory-of-soccer-penalty-kicks/(data obrascheniya: 28.04.2023).



