2025 (Current Year) Faculty Courses School of Engineering Department of Industrial Engineering and Economics Graduate major in Industrial Engineering and Economics
Advanced Noncooperative Game Theory
- Academic unit or major
- Graduate major in Industrial Engineering and Economics
- Instructor(s)
- Ryo Kawasaki
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Mon / 3-4 Thu
- Class
- -
- Course Code
- IEE.B403
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 2Q
- Syllabus updated
- Mar 19, 2025
- Language
- English
Syllabus
Course overview and goals
This course covers the elementary topics in noncooperative game theory. These topics include (1) games in strategic form, dominated strategies, Nash equlibrium; (2) potential games and supermodular games; (3) games in extensive form, subgame-perfect equilibrium, sequential equilibrium, and trembling-hand perfect equilibrium; and (4) repeated games; (5) games with incomplete information.
In recent years, game theory has been extensively used in theoretical economics. This course is intended to provide students with knowledge of noncooperative game theory for application to complex economic systems.
Course description and aims
By taking this course, students will have developed the following skills:
1) Build an economic model using advanced noncooperative game theory
2) Calculate Nash equilibria, subgame-perfect equilibria, sequential equilibria, etc. of games given in strategic form and extensive form.
3) Think logically and explain complex social phenomenon using game theory
4) Read theoretical academic papers that use noncooperative game theory.
Keywords
Games in strategic form, Nash equilibrium, potential games, supermodular games, games in extensive form, subgame-perfect equilibrium, sequential equilibrium, trembling-hand perfect equilibrium
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
This course will be held in lecture form. If time allows, some exercise problems will be explained.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Definition of a strategic form game, dominated strategies | Details will be given in each lecture. |
| Class 2 | Iterated removal of dominated strategies | |
| Class 3 | Nash equilibrium | |
| Class 4 | The proof of the existence of Nash equilibrium | |
| Class 5 | Potential games | |
| Class 6 | Potential games and improvement paths | |
| Class 7 | Supermodular games | |
| Class 8 | Definition of games in extensive form (perfect information case) | |
| Class 9 | Definition of games in extensive form (general case) | |
| Class 10 | Repeated games and the Folk Theorem | |
| Class 11 | Perfect Bayesian equilibrium, sequential equilibrium, trembling-hand perfect equilibrium | |
| Class 12 | Games with incomplete information (1) - Bayesian games, Bayesian Nash equilibrium | |
| Class 13 | Games with incomplete information (2) - Applications | |
| Class 14 | Review of Lectures 1-14 |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
No textbook. Lecture notes will be uploaded online (T2SCHOLA).
Reference books, course materials, etc.
Vega-Redondo, F. Economics and the Theory of Games. Cambridge: Cambridge University Press, 2003.
Mas-Colell, A., M. Whinston, and J. Green. Microeconomic Theory. New York: Oxford University Press, 1995.
Evaluation methods and criteria
Grades will be based on homework assignments and exercise problems.
Related courses
- IEE.B401 ： Advanced Microeconomics
- IEE.B402 ： Advanced Macroeconomics
- IEE.B404 ： Advanced Cooperative Game Theory
- IEE.B405 ： Advanced Econometrics
- IEE.B431 ： Advanced Topics in Microeconomics
Prerequisites
Knowledge of undergraduate level of game theory is required.