Graduate Methodologies in Cognition,
Mathematics and Information S1
䛆Course description and aims䛇
The theme of this course is “Decision Making Models.” This course
deals with mathematical methods for modeling and analyzing
competitive or social decision making situations through discussion,group work, lectures and working on exercise problems. Specifically,
this course gives definitions, examples and analysis methods of “games
in normal form,” “games in extensive form,” “option form,” “graphmodels,” “simple games,” “games in characteristic function form,” and“committees.” These are mathematical models for describing andanalyzing decision making situations, which the students are expected
to understand upon completion of this course.

Takehiro INOHARA
Professor
Institute for Liberal Arts /Department of Social and Human Sciences
School of Environment and Society
Tokyo Institute of Technology
W9-38, 2-12-1 O-okayama, Meguro, Tokyo 152-8552, JAPANThis course aims to cultivate the students’ abilities to:- select an appropriate mathematical model for describing andanalyzing a focal decision making situation;- describe a real-world decision making situation by a mathematicalmodel;- analyze the mathematical model and draw some insights on thesituation from the results of the mathematical analysis; and- convey the mathematical analysis results to others concisely.
䛆Instructions䛇䛆Evaluation䛇
Evaluation will be based on;
1. Three reports (20% each);
2. Three reports (10% each; 30% total);
3. Poster (20%); and4. Presentation (20%)

Telephone number: +81-3-5734-3366
Facsimile number: +81-3-5734-3366
E-mail address: inohara.t.aa@shs.es.titech.ac.jp
䛆Three Reports and a Poster Presentation䛇
Students are required to submit three reports:
1. Background Report:
On the background and the detail ofa real-world decision making situation;
2. Model Report:
On the model of the situation;
3. Analysis Report:
On the analysis of the situation.
Also, they are required to give a poster presentation
based on these reports at the end of the term.

䛆Evaluation Sheets䛇䛆Examples of Report Topics䛇

Brexit: An Analysis of Britain’s exit out of the European Union using Game Theory
Analysis for Falsely Accusation on the Train

䛆Schedule and Class room䛇
Class 1 :Class 2 :Class 3 :Class 4 :Class 5 :Every Friday, 10:45-12:15, Room W9-707
Guidance
Games in normal form: Definition, Dominant strategy equilibrium and Nash equilibrium
Games in extensive form (1): Definition
Games in extensive form (2): Backward induction and subgame perfect equilibrium
Option form: Definition and Stability concepts
The deadline for submitting Background Report
Graph models (1): Definition and Transition time analysis
Simple games and weighted majority games (1): Definition
Simple games and weighted majority games (2): Dictator, veto, unanimity, properness and symmetry
Simple games and weighted majority games (3): Power indices and coalition power comparison
Games in characteristic function form (1): Definition
The deadline for submitting Model Report
Games in characteristic function form (2): Core, Shapley value and nucleolus
Committees (1): Definition
Committees (2): Stable alternatives
Presentation (1)Presentation (2)The deadline for submitting Analysis Report

Class 6 :Class 7 :Class 8 :Class 9 :Class 10 :Class 11 :Class 12 :Class 13 :Class 14 :Class 15 :