In other words, a situation, if not a single player has no reasonable warrants for a change the strategy on condition that all other players going to adhere to the strategies. In this case, if every knows how will play other, he has a warrant of that strategy which corresponds this situation of equilibrium; the same a game becomes very steady.

Not all games have a situation of equilibrium. For example, the chuck-farthing of such situation does not have.

If a conflict does not have situations of equilibrium, then usually some players try to guess strategies of other , saving own strategies in a secret. That over brings to instability in development of co-operation. It suggests an idea (and it is actual right), that in with complete information of situation of equilibrium exist.

As the first classification signs will take the great number of coalitions of interests.. If this great number is empty, then a conflict degenerates in the phenomenon, in the ends of which nobody is interested. Mathematical models such the phenomena make maintenance of traditional descriptive mathematics.

If great number (u consists of the unique coalition of, then we have a conflict, degenerate in also, in which the unique interested party of to choose the most preferable to itself situation.

Mathematical interpretation of this circle of questions is taken to different family to the extreme tasks, classic, as, , decided in differential or variation or modern, which make the article of industries of the optimum programming (linear, discrete, dynamic, stochastic et cetera).

Actually a game theory begins then, when great number of u. counts the no less than two interested parties.

A next sign is an amount of coalitions of action. Yas¬no, that consideration of conflicts with empty in a number of coalitions of action is deprived sense: the great number of situations consists more than of one element and a question about the relation of does not arise up in general.

If there is one coalition in a conflict, then research of conflict becomes rich in content already. In this case there is the unique set of strategies OF SK, and a great number of all situations is his subset: S. SK. Therefore consideration of similar conflict can be begun with this great number of situations, considering them strategies of the unique coalition of action. As for such conflicts of strategy coincide with situations, it is possible as it applies to by him term «strategy» not to use quite. In this connection such the conflicts it is accepted to name non-strategic.