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In practice people often have conflicts when multiple participants to interact with the circumstances in which each participant is trying to achieve his goal his way available to him, but none of them completely does not affect the course of events, ie, the outcome of the battle is only partially depends on the actions of each participant. In a conflict situation, there are several interested parties, each of which tries to get the maximum benefit. Such situations arise during the ordinary salon games, sports, in military affairs, trade relations, economic, business and political activities, medical services, etc.
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Game Theory - is a branch of mathematics, which investigated the issues of conduct and produced the best rules (strategies) behavior for each of the parties conflict. Permission contrary to the theory of games is possible only after the mathematical modeling of situations in a game, and to address them have proved inadequate apparatus of the classical ma-subject analysis of finding extrema of functions, and there is need to develop new mathematical methods for finding the optimal minimax solutions inherent in the theory of games. Studies of game situations were many scientists, the focus of which was aimed at creating concepts of an optimal behavior of players and methods of finding the best strategies. Much attention was paid to the study of gambling. Only in the 30-ies of XX century. John von Neumann formulated the basic ideas of joint variable of game theory and its basic results. It proves the main theorem of matrix games. Since that time, game theory has developed more intensively. Pay special attention to game theory military experts and economists