An original generalizing class of game-theoretic models (operational games or KOSH games) is presented, using which many micro-and macro - economic interactions are naturally modeled. Basic concepts of the theory of operational games and classification of such games, equations of dynamics of operational game interactions, and procedures for modeling scenarios of such interactions are described. Examples of operational games and some practical results of using this theory are given. The possibilities of fundamental and applied development of the considered direction of game-theoretic research are analyzed. The importance of this research is due to the fact that the original idea of the founders of game theory, which is to create an adequate accurate language for describing economic processes, has not been implemented to this day. In this paper, an attempt is made to implement this by accurately defining the concept of “operation” using static games of a well-defined type and considering dynamic ensembles of such static games.