Problems of correct management decision making based on the application of game theory and statistical decision in the economy

The paper provides a brief analysis of the application of the game theory and statistical decisions for modeling economic systems, processes and phenomena, in particular, for making correct management decisions. The methodological content of the main advantages and disadvantages of such a modeling has been identified and described. The use of a management decision making scheme based on the concept of combined use of statistical and antagonistic games is proposed. Although this concept has drawbacks, it also has considerable advantages. The main advantage of this concept is that it has significant scope for expanding the game theory and statistical decisions for modeling the processes of making optimal managerial decisions in the economy, and it also allows to make the right managerial decisions in the economy, since this concept allows to take into account the most important features of the modern economy, in particular, conflict, incompleteness of information, uncertainty, multicriteria and the risk generated by them.