In Problems 1-8, is the matrix game strictly determined? 4 − 2 5 − 3 1 0 − 1 2 3
In Problems 1-8, is the matrix game strictly determined? 4 − 2 5 − 3 1 0 − 1 2 3
Solution Summary: The author explains that the given matrix game is not strictly determined. The entry with double squares around it is a saddle value.
If two perfectly rational players play the following zero-sum matrix
games, what strategies will they use?
5 4 3
(a)
0 6 1
4 7]
6
2 0
(b) |2 5
(c) |1
11
3
6 4
3
7
9
5
6.
(b) Consider the following pay-off matrix of a 2 x 2 game.
player B
4
player A
-4
-4 4
How will you solve this game?
2. Consider the two-person zero-sum game with the following 2x2 pay-off matrix:
1 2
1 а11 а12
2 a21 a22
Show that if the game has no pure strategy and saddle point, player II should play
strategy 1 with the following probability;
a22-a12
(a1-a12)+(a22-az1)
91
Chapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Fundamentals of Differential Equations and Boundary Value Problems
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