# 社会システムモデリングSocial Systems Modeling （ 猪原 健弘  ）

アクセス指標：

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.

This lecture aims to cultivate the students’ ability of selecting an appropriate model for analyzing a focal decision making situation, that of describing a real-world decision making situation by a model, that of analyzing the model and taking out some insights on the situation from the results of the analysis and that of deriver the results of the analysis to others concisely.

Every Thursday, 15:00-16:30

The 1st week: Lecture plan, Preliminaries on mathematical symbols, Classification of decision making situations

The 2nd week: Competitive decision making situations 1: Games in normal form

・ 10/15は月曜授業の日・本講義はなし
・ No class on 10/15

The 3rd week: Competitive decision making situations 2: Games in extensive form with perfect information

The 4th week: Competitive decision making situations 3: Games in extensive form with imperfect information

The 5th week: Competitive decision making situations 4: Option forms (The deadline of the submission of Background Report)

The 6th week: Competitive decision making situations 5: Graph models

・ 11/19は休講
・ No class on 11/19

The 7th week: Social decision making situations 1: Simple games and committees (the Feedback of Background Report)

・ 12/3は休講
・ No class on 12/3

The 8th week: Social decision making situations 2: Games in characteristic function form

The 9th week: Advanced Analysis Methods 1: Coalition analysis and attitude analysis of competitive decision making situations (The deadline of the submission of Model Report)

The 10th week: Feedback of Model Report

・ 1/14は月曜授業の日・本講義はなし
・ No class on 1/14

The 11th week: Advanced Analysis Methods 2: Self-consistency analysis of social decision making situations

The 12th week: Presentations

The 13th week: Presentations (The deadline of the submission of Analysis Report)

Reference: Rationality and Flexibility, Keiso-syobo, 2002 (in Japanese)
Reference: Emotions and Perception, Keiso-syobo, 2002 (in Japanese)

The instructor hopes the students have ability on mathematical expression and analysis, and interests in social problems.

3つのレポート（各25％）とプレゼンテーション（25％）による。
Through three reports (25% each) and presentation (25%)

This course is designated as one of the courses in the Education Program for Service Innovation (http://www.service-i.titech.ac.jp/), those in the Education Program for Consensus Building (http://www.ipcob.org/course/), and those in the Education Program for Digital Humanities and Technology. The students are recommended to be enrolled in one or more of these Education Programs. Detailed explanations on the enrollment in these courses can be found in each web site. Contact courses@valdes.titech.ac.jp for more inquiry.