Social Modeling B

Academic unit or major

Humanities and social science courses

Instructor(s)

Yukiko Kato

Class Format

Lecture (Face-to-face)

Media-enhanced courses

-

Day of week/Period
(Classrooms)

1-2 Mon (M-123(H111)) / 1-2 Thu (M-123(H111))

Class

-

Course Code

LAH.T209

Number of credits

200

Course offered

2026

Offered quarter

2Q

Syllabus updated

Mar 5, 2026

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)

Based on the instructor’s experience in managing multiple companies, the course incorporates practical case studies and applies the mathematical models covered in class to real-world decision-making contexts, enabling students to utilize them as one approach to 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 fundamental concepts and analytical methods. Students will then examine the lecture content individually or in groups and work on related exercises. After each class, students are required to submit a summary report reflecting on their own insights, the perspectives of other students, and what they have learned through the lectures and exercises. They must also submit their answers to the assigned exercises.

Course schedule/Objectives

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

Final grades will be determined based on summary reports on each class (42%), two individual assignments (30% in total), and two group comprehensive exercises with presentations (28% in total).
Summary reports must be submitted as text via the LMS. Individual assignments must be submitted as files via the LMS. For the group exercises, each group will prepare presentation slides and present their analytical findings.
No make-up measures will be provided for absences, regardless of the reason. Students are responsible for reviewing the materials posted on the LMS to keep up with any missed class content.

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　　: katou.y.053a[at]m.isct.ac.jp
When making inquiries, please include the course title in the subject line of your email, and provide your student ID number and full name in the body of the message.

Office hours

Make an appointment via email.

Other

This course is grounded in the principles of natural science.