Game with cellular matrices

The article discusses the game with the cell matrices shows that in accordance with the ideology of academician L.S. Pontryagin applied in the theory of differential games matrix games with different order of moves should be considered different games. In the game in pure strategies with the cell matrix is reduced to a game on a graph. Moreover, the games with different order of moves, but with the same matrix, will correspond to different columns and different order of deployment of the cellular matrix into a graph. It is shown that the Neumann theorem on the existence of saddle points for game mixed with cellular matrix with an arbitrary nesting depth of matrix cells is also true.