For the game having the following payoff table use the graph
For the game having the following payoff table, use the graphical procedure described in section 14.4 (from Hillier & Lieberman\'s Introduction to Operations Research) to determine the value of the game and the optimal mixed strategy for each player according to the minimax criterion.
| Player 2 | ||||
| Strategy | 1 | 2 | 3 | |
| Player 1 | 1 | 4 | 3 | 1 |
| 2 | 0 | 1 | 2 |
Solution
column maximum and row minimum oincides at (3,3)
So the optimum strategy for player A is 3 and player B is also 3.
the value of the game is 2.
