title: ÐÐµÑÐ¾Ð´ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸ÑÐ¿ÑÑÐ°Ð½Ð¸Ð¹ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: The method of statistical tests for solving multi-criteria problems
Creators: name: Ð¡Ð²ÐµÑÐ»Ð¸ÑÐ½ÑÐ¹, ÐÐ»ÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ°
Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð±Ð°ÑÐ¼Ð°-Ð²ÐµÐ»ÑÐ°
Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð²Ð¸ÑÐµÑÐ±Ð¸
ÑÐµÐ¾ÑÐ¸Ñ Ð¸Ð³Ñ
ÑÐºÑÑÑÑÐµ Ð¼Ð°ÑÐºÐ¾Ð²ÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
multicriteria problem
baum-welch algorithm
viterbi algorithm
game theory
hidden markov models

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description: This work is devoted to developing a modified algorithm for the most accurate determination of the unknown parameters of hidden Markov models and finding the most likely sequence of hidden states. This approach opens up new possibilities for analyzing strategic games using statistical methods. The research set the following goals: 1) Development of an algorithm that can solve special cases of a stochastic game when only limited information is available. 2) Application of Hidden Markov Models (HMM) to describe and analyze the process of a stochastic game. 3) Study and analysis of Baum-Welch and Viterbi algorithms in the context of their applicability to SMM-related problems. 4) Practical testing of the developed algorithm on a hypothetical game example and comparing its results with previous studies to evaluate its effectiveness. 5) Comparison of the proposed algorithm with alternative approaches. As a result of the work, the development of the modified algorithm confirms the potential of applying hidden Markov models in game theory. These models allow us to more accurately identify hidden player states and strategies, as well as analyze the dynamics of the game and make more informed decisions. Further research in this area may lead to new methods and approaches that contribute to a deeper understanding of strategic interactions in games.