Social Systems Modeling

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Inohara Takehiro 
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Fall Semester

Outline of lecture

Mathematical modeling methods and mathematical analysis methods for social systems are presented through lectures and exercises. This lecture gives definitions, examples and analysis methods of games in normal form, games in extensive form, option forms, graph models, simple games, games in characteristic function form, and so on, as models for analyzing decision making situations. Methods of coalition formation analysis and relation analysis are also introduced.

Students are required to prepare and submit three reports: a report on the background and the detail of a real-world decision making situation (Background Report), that on the model of the situation (Model Report) and that on the analysis of the situation (Analysis Report). Also, they are required to prepare and make a presentation based on these reports in the end of the term.

Purpose of lecture

This course aims to cultivate the students窶 abilities to: select an appropriate model for analyzing a focal decision making situation; describe a real-world decision making situation by a model; analyze the model and take out some insights on the situation from the results of the analysis; convey the analysis results to others concisely.

Plan of lecture

Every Thursday, 15:05-16:35, Room W936

Week 1 (Oct. 2): Lecture plan, Preliminaries on mathematical symbols, Classification of decision making situations
Week 2 (Oct. 9): Competitive decision making situations 1: Games in normal form
Week 3 (Oct. 16): Competitive decision making situations 2: Games in extensive form with perfect information
Week 4 (Oct. 23): Competitive decision making situations 3: Games in extensive form with imperfect information
Week 5 (Oct. 30): Competitive decision making situations 4: Option forms
縲縲縲***The deadline for submitting Background Report***
(No class on Nov. 6 窶 Monday classes are given)
Week 6 (Nov. 13): Feedback on Background Report
Week 7 (Nov. 20): Competitive decision making situations 5: Graph models
Week 8 (Nov. 27): Social decision making situations 1: Simple games and committees
Week 9 (Dec. 4): Social decision making situations 2: Games in characteristic function form
Week 10 (Dec. 11): Advanced Analysis Methods 1: Coalition analysis of competitive decision making situations
縲縲縲***The deadline for submitting Model Report***
Week 11 (Dec. 18): Feedback on Model Report
Week 12 (Dec. 25): Advanced Analysis Methods 2: Attitude analysis of competitive decision making situations
Week 13 (Jan. 8): Advanced Analysis Methods 3: A mathematical model of consensus building
(No class on Jan. 15 窶 Monday classes are given)
Week 14 (Jan. 22): Presentations
Week 15 (Jan. 29): Presentations
縲縲縲***The deadline for submitting Analysis Report***

Textbook and reference

Reference documents may be supplied if necessary.

Related and/or prerequisite courses

Logic, Set Theory, Game Theory, Graph Theory


Evaluation will be based on three reports (20% each), one presentation (20%), and one poster (20%).

Comments from lecturer

Prospective students should be familiar with mathematical expression and analysis and have interests in social problems.

This course is designated as one of the elective courses for the Education Program for Consensus Building, and the students are recommended to be enrolled in the program. Detailed explanations on the enrollment can be found in the web site (
For further inquiries, please contact: (Please replace窶彑at_ 窶掫ith @).

Note: This course is also an elective course for the Education Program for Science of Policy for Science & Technology, offered by Department of Innovation, Graduate School of Innovation Management.縲

Contact Information

Professor Takehiro INOHARA
Room 813, 8th Floor, West Bldg. 9, Ookayama Campus (Ext.3366) (Please replace窶彑at_ 窶掫ith ツシ)

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