Abstract
A number of game issues solutions is performed based on the payment matrix. In the respective model, conditionally, the first player attempts to win, while the second player strives not to lose. It is known that the analysis of this game is carried out based on the saddle element in the payment matrix. The element aij is called the saddle element, if it is the minimum of row number i and the maximum of column number j. In this case, the pure strategy of the first player corresponds to the i-th row of the matrix, and the pure strategy of the second player corresponds to the j-th column of the matrix. When there is no saddle element in the matrix, the analysis of the game is carried out in the space of mixed strategy. Experience shows that it is more efficient to perform this work by removing surplus rows and columns from the matrix. Keywords: matrix games, saddle element, pure strategies, mixed strategies, Braun-Robinson method.
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