Operation Research

1. Welcome to
my
Presentation

2. Game Theory
Presentation Topics.

3. What is Game Theory?
• In strategic games, agents choose strategies
that will maximize their return, given the
strategies the other agents choose.
• The mathematics of human interactions

4. Using Area of Game Theory.
• Mathematics
• Computer Science
• Biology
• Economics
• Political Science
• International Relations
• Philosophy
• Psychology
• Law
• Military Strategy
• Management
• Sports
• Game Playing

5. Pure Strategies.
i ii iii iv Raw
Minimum
i 20 15 12 35 12
ii 25 14 8 10 8
iii 40 2 10 5 2
iv -5 4 11 0 -5
Colum
Maximum
40 15 12 35
Player A
Player
B

6. i ii iii Raw
Minimum
i 55 40 35 35
ii 70 70 55 55
iii 75 55 65 55
Colum
Maximum
75 70 65
Player A
Player
B

7. i ii iii Raw
Minimum
i 55 40 35 35
ii 70 70 55 55
iii 75 55 65 55
Colum
Maximum
75 70 65

8. ii iii
ii 70 55
iii 55 65
Reduced pay-off matrix

9. “THANK YOU”“THANK YOU”

10. “THANK YOU”“THANK YOU”