In studying the game as a social phenomenon, it is often difficult to leave the sociological approach within the scope of scientific knowledge. This happens due to the multiparadigmality of sociology and, therefore, a range of oppositions in the definition of the game. The role of consciousness in the game, the relationship between the concepts of game and freedom, a whole series of scientific categories (language game, wordplay, political game), which were introduced in the conceptual and categorical framework of some scientific disciplines, pose a difficult task for sociologists to conceptualize and study the game phenomenon. In terms of the article, the author puts forward the category “game attribute” as an element of game interaction. It is suggested that an attribute of game interaction to be included, systematized and classified in such a category. This approach to the theoretical development of the game phenomenon allows researchers to set a wide variety of applied problems, stimulates the advancement of an interdisciplinary paradigm in the sociology of games, and potentially can contribute to its institutionalization.