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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
- Department of Innovation Science
- 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.)
- Mon1-2(W611) Thr1-2(W611)
- Group
- -
- Course number
- LAH.T209
- Credits
- 2
- Academic year
- 2018
- Offered quarter
- 4Q
- Syllabus updated
- 2018/10/22
- Lecture notes updated
- 2019/2/1
- Language used
- Japanese
- Access Index
-
Course description and aims
This course presents basic theories that concern models of social decision-making procedures. As a major topic, important theorems of social choice theory are to be lectured. The scope of this course includes topics of democracy, decision support, welfarism, and consequentialism. Various voting methods are also to be introduced in the course, some of them seems to be especially attractive in the information age. The aim of this course is to provide the students with an opportunity for acquiring theories about social decision making and an opportunity for developing independent research interests in this field.
Student learning outcomes
Each student is expected to understand the proof of Arrow's impossibility theorem and some major theorems with majority rule.
Keywords
social choice theory, Arrow's Impossibility theorem, majority rule, rationality
Competencies that will be developed
| ✔ Specialist skills | ✔ Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Class flow
Many topics related social decision-making are to be learned through lectures and discussions. Students are encouraged to read related books and reference materials before attending classes. It is also advisable to spend much time to prepare for oral discussions.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Irrationality in decision making | Understand some Irrational aspects in personal and social decision makings. |
| Class 2 | Notation Method of Social Choice 1 | Understand the basic notation method of preference. |
| Class 3 | Notation Method of Social Choice 2 | Understand the notion of choice function. |
| Class 4 | Notation Method of Social Choice 3 | Understand the notion of rational choice. |
| Class 5 | Notation Method of Social Choice 4 | Understand the notation method of collective choice rule. |
| Class 6 | Social Welfare Function | Understand the notion of Social Welfare Function. |
| Class 7 | Arrow's Impossibility Theorem | Understand the proof of Arrow's Impossibility Theorem. |
| Class 8 | Social Decision Function and Possibility Theorems | Understand the notion of Social Decision Function and some of Sen's Possibility Theorems. |
| Class 9 | The Notion of Majority Rule 1 | The basic notation method for majority rule is to be introduced. Students are expected to understand the method and relating some major formula. |
| Class 10 | The Notion of Majority Rule 2 | Understand the concepts of anonymity, neutrality and positive responsiveness. |
| Class 11 | Restricted Domain 1 | Understand the concepts of restricted domain with majority rule. |
| Class 12 | Restricted Domain 2 | Understand the concepts of value restriction, external restriction and limited agreement. |
| Class 13 | Value Restriction and Limited Agreement | Understand theorems about value restriction and limited agreement. |
| Class 14 | Extremal Restriction | Understand theorems about extremal restriction. |
| Class 15 | Necessary and Sufficient Conditions for Rational Choice | Understand the necessary and sufficient conditions for rational choice in using majority rule. |
Textbook(s)
A book will be selected at the beginning of the course.
Reference books, course materials, etc.
none required
Assessment criteria and methods
During the term, small examinations are held in many times. There will also be two hand-written reports. Assessment will be based on small examinations (total 60%), and; two hand-written reports (20% each; total 40%). (Full attendance is assumed in this calculation.)
Related courses
- LAH.T107 ： Social Modeling A
- 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.)
It is recommendable to finish the course Social Modeling A beforehand, although it is not a necessary condition.
Contact information (e-mail and phone) Notice : Please replace from "[at]" to "@"(half-width character).
Atsushi IWAI，iwai[at]si.gunma-u.ac.jp
Office hours
Instructor's 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.
