This point in a pay off matrix is one which is the largest value in its column and the smallest value in its row. This is also termed as equilibrium point in the theory of games.
This point gives also the value of a game. In a game having a saddle point, the optimum strategy for both players is to pay the column or row having the saddle point.
Note: if in a game there is no saddle point the players will resort to what is termed as mixed strategies.