Taking part in the conflict of side elements of some abstract great number. Often appears expedient to consider them the subsets of some universal set; elements last it is accepted to name players, and subsets of players which are operating sides in a conflict, — by coalitions of action (different coalitions of action can intersect and even contained one in other). The great number of all coalitions of action in a conflict further will be designated through.

Each of coalitions of action To accepts some decision from some great number OF SK of accessible for it decisions. The elements of great number OF SK are named coalition strategies To.

Choice that is named the end of conflict determines each of coalitions of action of some strategy. Thus not necessarily, that this end was understood as the simply certain determined phenomenon. Possibly, that one or another from these ends was in a number of the physical phenomena or by the casual phenomenon, I.e. in a number of the phenomena with a probabilistic measure on him. In addition, some combinations chosen coalitions of action of strategies can appear incompatible and that is why impracticable. In this case it is accepted to consider that a conflict did not take place. (In application to the games (conflicts) it can be expressed in appearance of some hindrance, cutting a game (conflicts) short without an its renewal option).

All ends of conflict are named situations. From said it ensues higher, that situations make some great number of S, being the subset of great number of all combinations of strategies of coalitions of action, I.e. carthesian works of sets of strategies. Concerning the parties interested in the ends of conflict it is possible to repeat almost everything, said in connection with coalitions of action. Name them coalitions of interests, and they are considered the elements of some abstract great number which further will be designated through and. Coalitions of interests are essence of subset of that great number of players, what coalitions of action. In a game of great number of coalitions of action and great number of coalitions of interests theory examined as different. Easily to see that in the real conflicts there can be coalitions actions, being not coalitions of interests and vice versa.