1. Consider the following normal form game between A and B. Use iterated elimination of dominated strategies, if possible, to find the solution to the three games. B C1 C2 C3 1, Y 7,7 3, 10 A R1 5, 4 R2 Х, 12 9, 10 a. Let X = 5 & Y = 2. Find the solution. b. Let X = 6 & Y = 9. Find the solution. c. Let X = 3 & Y = 11. Find the solution.

Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
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Chapter14: Game Theory
Section14.5: Introduction To N-person Game Theory
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1. Consider the following normal form game between A and B. Use iterated elimination of dominated
strategies, if possible, to find the solution to the three games.
B
C1
C2
C3
5, 4
X, 12
A R1
7,7
1, Y
R2
3, 10
9, 10
a. Let X = 5 & Y = 2. Find the solution.
b. Let X = 6 & Y = 9. Find the solution.
c. Let X = 3 & Y = 11. Find the solution.
2. Consider the following game between A and B.
B
Left
Right
5, 5
4, Z
A up
2,0
Z, 3
down
Find precise restrictions on the allowable values of Z so that it is guaranteed that this game cannot be
solved using IEDS.
Transcribed Image Text:1. Consider the following normal form game between A and B. Use iterated elimination of dominated strategies, if possible, to find the solution to the three games. B C1 C2 C3 5, 4 X, 12 A R1 7,7 1, Y R2 3, 10 9, 10 a. Let X = 5 & Y = 2. Find the solution. b. Let X = 6 & Y = 9. Find the solution. c. Let X = 3 & Y = 11. Find the solution. 2. Consider the following game between A and B. B Left Right 5, 5 4, Z A up 2,0 Z, 3 down Find precise restrictions on the allowable values of Z so that it is guaranteed that this game cannot be solved using IEDS.
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