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The objective of this course is to learn about game theory, which is effective in determining one's own actions while predicting the actions of competitors and in deriving fair solutions in problem situations involving multiple stakeholders, and to master its concepts and methods of deriving solutions.
Game theory is one of the elemental technologies of artificial intelligence and an important tool in economics.
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After completing this course, you will be able to:
1) logically explain problem situations involving multiple decision-making actors and their solutions.
2) master the way of thinkin of social system design.
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（◎：Especially important，〇：Important，△：Subject to evaluation，－：Not subject to evaluation）
A: Basic knowledge and understanding of various sciences subjects －
B: The ability to think logically and creatively ◎
C: The ability to communicate effectively －
D: Gained a sense of social ethics and an international perspective －
E: Understanding of various issues in the information society and the ability to utilize informatics knowledge －
F: Knowledge of social organizations and systems and the ability to analyze them by a social scientific approach －
G: Basic knowledge of data science and the ability to propose social implementation 〇
H: Knowledge base for creating and utilizing information technology －
I: The ability to formulate tasks based on humanistic and informatics knowledge and search for practical philosophy －
J: The ability to discover issues and propose social systems utilizing social science knowledge －
K: The ability to solve problems through data collection, analysis and mathematical optimization 〇
L: Knowledge of computations and information and the ability to develop technology related to computers －
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Game theory is a theory for dealing with decision-making problems involving multiple decision makers. The main themes of game theory are "how should one act while predicting the actions of others" and "is there a fair solution to a situation in which interests do not coincide?" In this class, game theory will be lectured with examples of concrete applications and contributions to society. Exercises for students to think on their own will be conducted as needed. Faculty members with practical experience in social implementation of game theory will teach the class.
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Lectures (70%) + Exercises (30%)
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Iwai (Face to Face):
01. Introduction
02. Strategic Games
03. Nash Equilibrium
04. Conflicts of Interest and Cooperation
05. Dynamic Games
06. Repeated Games
07. Games with Uncertainty
08. Bargaining Games
Kira (Online):
09. Matching Theory (Stable Marriage Problem)
10. Matching Theory (Optimal Class Assignment Problem, School Choice Problem)
11. Extensive Form Games and Machine Learning (Computer Shogi)
12. Markovian Property and Extensive Form Games (Optimal Strategy in Baseball)
13. Extensive Form Games and Matching (Nursely School Matching)
14. Voting Power Index
15. Cooperative games
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In the review, students are expected to think about what they have learned in class until they are satisfied with their own understanding, and to be able to explain problem situations and solutions to others in a logical manner.
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1) Daily performance (Contribution to classes, exercises, and reports) (50%)
Relationship with DP: B, G, K
2) Final exam (50%)
Relationship with DP: B, G, K
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Students should have basic mathematical knowledge (specifically, the content studied in "Calculus 1" and "Linear Algebra 1" in the first semester of the first year and "Probability Statistics 1" in the second semester of the first year). Although more advanced mathematical knowledge is required for serious study of game theory, this class will focus on explaining the fun of game theory in consideration of students who take it as a subject in other programs.
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Strategic form game, Extensive fome game, Matching theory, Cooperative game, Practical experience
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ゲーム理論・入門 新版--人間社会の理解のために
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岡田章
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有斐閣アルマ
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2014
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Necessary materials will be distributed in classes.
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