Models offered in work, allow to receive on the basis of the classical solution concepts for cooperative games with transferable utility value possible objective options (both stable and unstable) configurations coalitions of the world centers of power (s.c. «centers of influence»), as well as options for the distribution of influence within these coalitions. The relevance of such research has become particularly evident in recent years, when we are seeing the escalation of conflicts between the various countries and groups of countries in the international arena. Studies of political interaction of the centers of influence are of interest not only for political science, but for the economy too. Their effects have a significant impact on the economy and social sphere. Ultimately, their influence quickly spread out at the level of micro entities and individual households.