FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 450 | Course Introduction and Application Information
| Course Name |
Game Theory
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 450
|
Fall/Spring
|
3
|
0
|
3
|
7
|
| Prerequisites |
None
|
|||||
| Course Language |
English
|
|||||
| Course Type |
Elective
|
|||||
| Course Level |
First Cycle
|
|||||
| Mode of Delivery | - | |||||
| Teaching Methods and Techniques of the Course | - | |||||
| Course Coordinator | ||||||
| Course Lecturer(s) | ||||||
| Assistant(s) | ||||||
| Course Objectives | The aim of this course is to enable the student to understand the concepts of games theory that maximize the earnings of the person or the institution in the relationships between people and institutions. |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Elements of a Game and Payoffs Games, Prisoner's dilemma,Intro to ComlabGames Software, Strategies, Sequential Move Games, Risk and Probabilities, Simultaneous Move Games, Nash Theory, Incomplete Information Games |
|
|
Core Courses | |
| Major Area Courses |
X
|
|
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | Introduction to game theory, elements of a game theory | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 1.1, 1.2 |
| 2 | Two person zero sum games | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 1.3 |
| 3 | Thinking strategically: Strategies, dominant strategies, strictly dominant strategies | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Sections 2.1, 2.2 |
| 4 | Sequential move games | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 1.4 |
| 5 | Simultaneous Move Games: Mixed strategies, best response functions | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 6.1 |
| 6 | Prisoner's dilemma | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Chapter 3 |
| 7 | Midterm | - |
| 8 | Nash theory, Nash equilibrium | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 2.3 |
| 9 | Applications of Nash equilibrium | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 2.3 |
| 10 | N person games | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 1.7 |
| 11 | Sequential vs. simultaneous move, subgame perfection, repeated games | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Section 4.1, 1.5 |
| 12 | Incomplete information games, signaling, market games | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 Sections 7.1, 7.2, 7.3 |
| 13 | Term Projects, presentations | |
| 14 | Term Projects, presentations | |
| 15 | Semester Review | |
| 16 | Final Exam |
| Course Notes/Textbooks | "A Guide to Game Theory" by Fiona Carmichael, Pearson Education Canada, 1st Edition, 2005. ISBN-13: 978-0273684961 |
| Suggested Readings/Materials | "Strategies and Games" by Prajit Dutta, The MIT Press, 1/27/99 Edition, 1999. ISBN-13: 978-0262041690 "Game Theory for Applied Economists" by Robert Gibbons, Princeton University Press, Reprint edition,1992. ISBN-13: 978-0691003955 "Games and Decisions: Introduction and Critical Survey" by Luce, R.D. and Raiffa, H, Dover Publications, Reprinted Edition, 1989. ISBN-13: 978-0486659435 |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments |
2
|
20
|
| Presentation / Jury |
1
|
10
|
| Project |
1
|
20
|
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
20
|
| Final Exam |
1
|
30
|
| Total |
| Weighting of Semester Activities on the Final Grade |
5
|
70
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
30
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
2
|
10
|
20
|
| Presentation / Jury |
1
|
15
|
15
|
| Project |
1
|
20
|
20
|
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
30
|
30
|
| Final Exam |
1
|
35
|
35
|
| Total |
210
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
|||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
X | ||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
X | ||||
| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
|||||
| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
|||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
|||||
| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
|||||
| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
X | ||||
| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
X | ||||
| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
|||||
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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