2025 (Current Year) Faculty Courses Liberal arts and basic science courses Humanities and social science courses
Social Modeling B
- Academic unit or major
- Humanities and social science courses
- Instructor(s)
- Yukiko Kato
- Class Format
- Lecture
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - Class
- -
- Course Code
- LAH.T209
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 4Q
- Syllabus updated
- Mar 27, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course introduces Graph Model for Conflict Resolutions (GMCR): a mathematical framework to represent and analyzes decision-making in society by rational decision-makers independently or in coalitions.
The language used in this course is Japanese, and each class will consist of lectures, exercises, discussions, and group work.
This course primarily focuses on the basic framework of GMCR and analysis methods, including rational analysis, efficiency analysis, coalition analysis, attitude analysis, and permissible range analysis.
The objective is to understand the flexibility and effectiveness of the GMCR mathematical framework and learn methods for modeling and analyzing social problems.
Course description and aims
This course facilitates students' ability to
(1) describe the effectiveness of using mathematical models to represent and analyze problems in society.
(2) state the mathematical model's definitions by using an example of a subject described by the mathematical model.
(3) analyze examples of objects described by mathematical models and communicate the results to others.
(4) describe an object to be handled using an appropriate mathematical model.
(5) analyze an object described by a mathematical model and communicate the results to others.
Student learning outcomes
実務経験と講義内容との関連 (又は実践的教育内容)
The lecturer's experience in company management will be introduced as examples when needed for students to apply the mathematical models they will learn in this lecture to actual decision-making situations in society and use them as a means of problem-solving
Keywords
Graph Model for Conflict Resolution (GMCR); Rational analysis; Coalition analysis; Attitude analysis; Efficiency analysis (Pareto Optimality); Permissible range analysis; Stability and equilibrium; Nash; GMR; SMR; SEQ; unilateral move; unilateral Improvement; sanction; escape.
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Lectures will be given on the definitions of basic concepts, methods of analysis, and applications.
Students then review the lecture content individually or in groups for discussion and exercises.
After each class, students are requested to submit a summary report of their reflections or what they have learned from the lecture and exercises.
Students are also required to submit answers to the exercises when assigned.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Guidance, Analysis of society through mathematical modeling | What kind of situation is the use of GMCR appropriate in analyzing social problems using mathematical models? Explain the situation in question and why. |
| Class 2 | Basic concepts of social modeling: preference, rationality, efficiency, logic, and set theory | Describe essential concepts of social modeling. |
| Class 3 | Framework and analysis of the normal form game | Describe the framework of the normal form game. |
| Class 4 | Applications of the normal form game | Describe examples of analysis using the normal form games. |
| Class 5 | Conflict analysis by GMCR 1-1: state, preference, state transition, and transformation from normal form game | Give the definitions of GMCR. |
| Class 6 | Conflict analysis by GMCR-1-2: Stability Analysis | Define the key stability concepts of GMCR. |
| Class 7 | Comprehensive Exercise-1 : Modeling and preparation for analysis based on the contents of lectures 1 to 6 (*group work) | Using GMCR, model, analyze, and problems in society. |
| Class 8 | Comprehensive Exercise-1: Presentation of modeling and analysis results based on the contents of lectures 1 to 6(*group work) | Using GMCR, model, analyze, and present problems in society. |
| Class 9 | Conflict analysis by GMCR-2-1: Coalition Analysis | Define GMCR coalition analysis. Provide one example with stability analysis result. |
| Class 10 | Conflict analysis by GMCR-2-2: Permissible Range Analysis, Attitude Analysis | Define GMCR permissible range analysis/Attitude analysis. |
| Class 11 | Integrated GMCR for Social System Analysis | Provide one example of a social system analysis using GMCR discussed in the lecture. |
| Class 12 | Metagame, Hypergame and GMCR | Explain metagame and hypergame. |
| Class 13 | Comprehensive Exercise-2 Modeling and analysis based on the lecture contents of all sessions(*group work) | Using extensive knowledge of GMCR, model, analyze problems in society. |
| Class 14 | Comprehensive Exercise-2 presentation of modeling and analysis based on the lecture contents of all sessions(*group work) | Presentation of group works: model, analysis, and interpretations of social problems. |
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)
None required.
Reference books, course materials, etc.
Lecture materials will be provided when needed.
Main reference books and papers:
1. 猪原健弘, コンフリクト解決のためのグラフモデル - GMCR: The Graph Model for Conflict Resolution, オペレーションズ・リサーチ 経営の科学 特集, Vol.58, No.4, pp. 204 -211, April 1, 2013.
2.猪原健弘,『合理性と柔軟性』,勁草書房, 2002年,ISBN:978-4-326-50222-6.
3.猪原健弘,『感情と認識』,勁草書房, 2002年,ISBN:978-4326502233.
4.猪原健弘, 『入門 GMCRーコンフリクト解決のためのグラフモデル』, 勁草書房, 2023年, ISBN: 978-4-326-50498-5
5. T. Inohara, Relational dominant strategy equilibrium as a generalization of dominant strategy equilibrium in terms of a social psychological aspect of decision making, European Journal of Operational Research, Vol.182, No.2, pp.856-866, October, 2007.
6. T. Inohara, Relational Nash equilibrium and interrelationships among relational and rational equilibrium concepts, Applied Mathematics and Computation, Vol.199, No.2, pp.704-715, June, 2008.
7. T. Inohara and K. W. Hipel, Coalition analysis in the graph model for conflict resolution, Systems Engineering, Vol.11, No.4, 343-359, 2008.
8. T. Inohara and K. W. Hipel, Interrelationships among noncooperative and coalition stability concepts, Journal of Systems Science and Systems Engineering, Vol.17, No.1, pp.1-29, March, 2008.
9. T. Inohara, Keith W. Hipel, and S. Walker, Conflict analysis approaches for investigating attitudes and misperceptions in the War of 1812, Journal of Systems Science and Systems Engineering, Vol.16, No.2, pp.181-201, June, 2007.
10. Y. Kato, “Binary Processing of Permissible Range in Graph Model of Conflict Resolution,” in 2021 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 2021, pp. 685–690.
Evaluation methods and criteria
Students' course scores are based on the "Summary Report" (a summary of what has been learned) for each class (42% ), submission of exercises (3 individual exercises, 30% ), and two group presentations in the comprehensive exercises (28%).
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
No prerequisite, but interest in decision theory is desirable. Enrollment in and understanding of this course do not require the completion of Social Modeling A.
Contact information (e-mail and phone) Notice : Please replace from ”[at]” to ”@”(half-width character).
Yukiko Kato
kato.y.bj [at] m.titech.ac.jp
Office hours
Make an appointment via email.
Other
This course includes the content of science.