For the game identify the saddle point and determine the cor

For the game, identify the saddle point and determine the corresponding optimal strategy for each player. (21 7 3 1 20 13 16 30 11 12 19 9) The saddle point is the in row and column The optimal strategy is for R to always choose row and for C to always choose column .

Solution

The row minimum are

1st row=1 , 2nd row=13 , 3rd row=9

ALso the column maxima are

1st column=21, 2nd column=13, 3rd column=19, 4th column=30

Now as Maximum of the row minimas is 13, and minimum of the column maximas is 13

Thus there is saddle point at (2,2) that is second row and second column

So the optimal strategy is Row player choos second row and column player choose second column