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- 工学院，物質理工学院，環境・社会理工学院共通科目
- Liberal arts and basic science courses
- First-Year Courses
- School of Science
- School of Engineering
- School of Materials and Chemical Technology
- School of Computing
- School of Life Science and Technology
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School of Environment and Society
- Department of Architecture and Building Engineering
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- Department of Social and Human Sciences
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- Graduate major in Technology and Innovation Management
- Common courses
- Liberal arts and basic science courses
- Academic unit or major
- Humanities and social science courses
- Instructor(s)
- Iwai Atsushi
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Mon5-6(H111)
- Group
- -
- Course number
- LAH.T107
- Credits
- 1
- Academic year
- 2021
- Offered quarter
- 3Q
- Syllabus updated
- 2021/3/22
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
This course presents basic techniques to model social decision-making procedures. As major topics, conceptual components of social choice theory are to be lectured. Social choice theory is a theoretical framework for analysis of combining individual preferences to reach a collective decision. It relates Condorcet's voting paradox and Arrow's impossibility theorem. The scope of this course also includes topics of the informational basis in decision making. The aim of this course is to provide the students with an opportunity for acquiring a conceptual understanding of social decision-making and an opportunity for developing independent research interests in this field.
Student learning outcomes
Each student is expected to understand the basic framework of social choice theory and Arrow's impossibility theorem.
Keywords
voting, rationality, social choice theory, Arrow's impossibility theorem
Competencies that will be developed
| ✔ Specialist skills | ✔ Intercultural skills | Communication skills | ✔ Critical thinking skills | Practical and/or problem-solving skills |
Class flow
Major topics related to social choice theory are to be learned through lectures and discussions. Students are encouraged to read related books and reference materials before attending classes. As most topics are mathematical, it is often required to spend much time to understand theorems and their proofs.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Representation of Relationships | Understand the basic notion of two-term relationship. |
| Class 2 | Individual Rationality | Understand the basic notation method of individual rationality. |
| Class 3 | Interpersonal Comparison of Utility | Fully understand the notion of interpersonal comparison of utility. |
| Class 4 | Representation of Preferences 1 | Fully understand the notation method of social preferences. |
| Class 5 | Representation of Preferences 2 | Fully understand the notation method of personal preferences. |
| Class 6 | Social Choice 1 | Understand social welfare function (SWF) in Arrow's theory. |
| Class 7 | Social Choice 2 | Understand the basic structure of Arrow's impossibility theorem. |
Out-of-Class Study Time (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 will be used this semester.
Reference books, course materials, etc.
Amartya Sen, Collective Choice and Social Welfare, North-Holland.
Assessment criteria and methods
During the term, small examinations or various exercises are held. There will also be two or three hand-written reports. Assessment will be based on exercises and exercises (total 30%), and; two or three hand-written reports (total 70%). (Full attendance is assumed in this calculation. ) Please be aware that submission of all homework assignments or full attendance does not guarantee credit will be awarded.
Related courses
- LAH.T209 ： Social Modeling B
- LAH.T308 ： Social Modeling C
- LAH.T108 ： Decision Making A
- LAH.T208 ： Decision Making B
- LAH.T307 ： Decision Making C
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students who like mathematics or logic are all welcomed.
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
Atsushi IWAI, iwai[at]gunma-u.ac.jp
Office hours
Contact Personnel (office): Rm 813, 8 Fl., West Bldg. 9. Contact by e-mail in advance to schedule an appointment.
Other
This course includes the content of science.
