Consider a two-person zero-sum game with the rewardmatrix in Table.

Consider a two-person zero-sum game with the rewardmatrix in Table.

Suppose this game does not have a saddle point. Show that the optimal strategy for the row player is to play the first row a fraction (d – c)/(a + d – b – c) of the time and the optimal strategy for the column player is to play the first column a fraction (d – b)/(a + d – b – c) of the time.