On the formation of a new criterion focused on the choice of balanced solutions in the “game with nature”

The paper presents a justification for introducing a new criterion for the decision-maker to practice solving the problem of choosing a solution in conditions of statistical uncertainty, which orients the decision-maker to moderate optimism. It is shown that using this criterion together with a number of classical criteria ranked by their degree of statistical optimism in the form of an ordinal scale opens up the possibility of controlling the probability of a balanced choice in each specific decision-making situation.