Solve the following matrix game by using simplex method.
A/B | 1 | 2 | 3 |
1 | 6 | 1 | 2 |
2 | 1 | 4 | 1 |
3 | 3 | 4 | 5 |
a) What is the real price of the game?
b) What are the optimal probabilities for player A’s strategies?
c) What are the optimal probabilities for player B’s strategies?
Please show your workings, not just the answer, thank you!
Answer:
The value lies between 3 & 4
Use linear programming
Let
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