Explain the concept of two-person zero- sum game strategy and saddle point. Also provide a suitable example
Explain the concept of two-person zero- sum game strategy and saddle point. Also provide a suitable example
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1.
- Explain the concept of two-person zero- sum game strategy and saddle point. Also provide a suitable example.
- A. In a certain game player has three possible courses of action L, M and N, while B has two possible choices P and Q. Payments to be made according to the choice made.
Choices |
Payments |
L,P |
A pays B OMR 4 |
L,Q |
B pays A OMR 4 |
M,P |
A pays B OMR 3 |
M,Q |
B pays A OMR 4 |
N,P |
B pays A OMR 3 |
N,Q |
B pays A OMR 4 |
What are the best strategies for players A and B in this game? What is the value of the game for A and B?
- For what value of q, the game with the following payoff matrix is strictly determinable?
Player A |
Player B |
||
|
B1 |
B2 |
B3 |
A1 |
Q |
7 |
3 |
A2 |
-1 |
Q |
-6 |
A3 |
-3 |
5 |
Q |
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