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www.sanjivanimba.org.in
Unit No.3.
DECISION SCIENCE
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean, EDP & Associate Professor MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in
www.sanjivanimba.org.in
302-DECISION SCIENCE
Unit No.3. Games Theory
3.2.6 Case 1: Games
Theory
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean EDP & Associate Professor MBA
2
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in
www.sanjivanimba.org.in
GAMES THEORY
 At the End of the Session Student will be able to
understand-
A. Case 1: Games Theory.
www.sanjivanimba.org.in
Games Theory
Solve the Following Game a) Directly, b) By using Principle of
Dominance:
Player Y
Player X
.
1 2 3 4 5
I 1 3 2 7 4
II 3 4 1 5 6
III 6 5 7 6 5
IV 2 0 6 3 1
www.sanjivanimba.org.in
Games Theory
Solution 1) Direct Method,
Player Y
Player X
.
1 2 3 4 5 Min.
I 1 3 2 7 4 1
II 3 4 1 5 6 1
III 6 5 7 6 5 5 Max
IV 2 0 6 3 1 0
Max. 6 5 Min 7 7 6
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Row III & IV
Player Y
Player X
.
1 2 3 4 5
I 1 3 2 7 4
II 3 4 1 5 6
III 6 5 7 6 5
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Column 1 & 4
Player Y
Player X
.
1 2 3 5
I 1 3 2 4
II 3 4 1 6
III 6 5 7 5
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Column 2 & 5
Player Y
Player X
.
1 2 3
I 1 3 2
II 3 4 1
III 6 5 7
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Row I & III
Player Y
Player X
.
1 2 3
II 3 4 1
III 6 5 7
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Row II & III
Player Y
Player X
.
1 2 3
III 6 5 7
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Column 1 & 2
Player Y
Player X
.
2 3
III 5 7
www.sanjivanimba.org.in
Games Theory
Solution 2) Dominance Rule:
Comparing Column 2 & 3
Player Y
Player X
Hence the Optimal Strategy for X is III and for Y it is 2, with Value of
the Game to be 5.
Strategy of X = [0, 0, 1, 0]
Strategy of Y = [0, 1, 0, 0, 0]
2
III 5
www.sanjivanimba.org.in
EXERCISE
 Solve the Case 1: Games Theory.
www.sanjivanimba.org.in
For More Details Contact
Dr. V M Tidake
tidkevishal@gmail.com
tidkevishalmba@sanjivani.org.in
www.sanjivanimba.org.in
Thank You

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