[IMPORTANT]
The content of this syllabus in 2020, especially how classes are conducted, how course materials are provided, and the method of evaluation, may be changed as a result of measures against Novel Coronavirus.
Students who wish to attend should read the information on this course at the following URL.
http://www.shs.ens.titech.ac.jp/~inohara/lab/courses.html
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This course deals with basic concepts of theory of committees, which is a mathematical theory of group decision making situations, through discussion, group work, lectures, and working on exercise problems. Specifically, this course takes up: “simple games,” “committees,” “desirability relations on coalitions,” “cores of committees,” “consistent coalitions,” “permissible ranges of decision makers,” “permission games,” “hopefulness relations on coalitions,” “stable coalitions and stable alternatives,” “postulated permissible ranges,” “regretless alternatives,” and “characterizations of cores of committees.”
This course aims to cultivate the students’ abilities to understand basic concepts of theory of committees, and also to convey them to others concisely.
Upon completion of this course, students should be able to:
1) State the definitions of basic concepts used in the mathematical theories of group decision making situations; and
2) State the analysis methods in the mathematical theories of group decision making situations.
simple games, committees, desirability relations on coalitions, cores of committees, consistent coalitions, permissible ranges of decision makers, permission games, hopefulness relations on coalitions, stable coalitions and stable alternatives, postulated permissible ranges, regretless alternatives, and characterizations of cores of committees
✔ Specialist skills | ✔ Intercultural skills | ✔ Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
[Important notice]
If the number of registered students exceeds the capacity at the end of the course registration period, a lottery system will be used to determine which students are admitted.
The registered students will receive emails notifying whether or not such lottery took place.
If a lottery did take place, no additional student will be admitted to the course.
[Class flow]
One class deals with one basic concept.
The students examine definitions and analysis methods of basic concepts, first individually, second in pairs, then in groups of four, and finally with the class as a whole. Then a lecture on the basic concept is presented, and the students work on exercise problems. At the end of the class, each student writes and submits a “summary report” on what he/she learned through individual observation, other students’ ideas, the lecture, and exercise problems.
Course schedule | Required learning | |
---|---|---|
Class 1 | Guidance, Self introduction | State at least three topics this course treats. Make at least three new friends in the class. |
Class 2 | Simple games, Committees | State the definitions of simple games and committees. |
Class 3 | Desirability relations on coalitions | State the definition of desirability relations on coalitions. |
Class 4 | Cores of committees | State the definition of cores of committees. |
Class 5 | Consistent coalitions | State the definition of consistent coalitions. |
Class 6 | Permissible ranges of decision makers and permission games | State the definitions of permissible ranges of decision makers and permission games. |
Class 7 | Hopefulness relations on coalitions | State the definition of hopefulness relations on coalitions. |
Class 8 | Stable coalitions and stable alternatives | State the definitions of stable coalitions and stable alternatives. |
Class 9 | Group work on committees | State what you have learned from the group work. |
Class 10 | Postulated permissible ranges | State the definition of postulated permissible ranges. |
Class 11 | Regretless alternatives | State the definition of regretless alternatives. |
Class 12 | A characterizations of cores of committees | State the content and the meanings of a characterizations of cores of committees. |
Class 13 | A re-definition of committees with permissible ranges of decision makers, a generalization of cores of committees, and a characterization of generalized core of committees | State the content and the meanings of a re-definition of committees with permissible ranges of decision makers. State the content and the meanings of a generalization of cores of committees. State the content and the meanings of a characterization of generalized core of committees. |
Class 14 | Summary of the entire course. | Review what you learned in this course. |
Takehiro Inohara, “Rationality and Flexibility,” Keiso-syobo, 2002 (in Japanese) (Section 1.2, Section 2.1, Chapter 7, Chapter 8, Chapter 9）(ISBN-10: 4326502223, ISBN-13: 978-4326502226)
Takehiro Inohara, “Emotions and Perception,” Keiso-syobo, 2002 (in Japanese) (ISBN-10: 4326502231, ISBN-13: 978-4326502233). Course materials are found on OCW-i or provided during class.
Assessment will be based on “summary reports” written during each class (50% in total) and the final examination (50%).
If you are absent from a class, regardless of the reason, points are subtracted from the assessment portion of the "attendance and contribution to classes."
There are no make-up assignments.
Read the course materials posted on OCW-i to find out the content of the class you missed.
Prospective students should have interests in decision making problems. Students must have successfully completed both “Decision Making A” and “Decision Making B” or have equivalent knowledge.
Prof. Takehiro Inohara, inostaff[at]shs.ens.titech.ac.jp
[IMPORTANT]
The content of this syllabus in 2020, especially how classes are conducted, how course materials are provided, and the method of evaluation, may be changed as a result of measures against Novel Coronavirus.
Students who wish to attend should read the information on this course at the following URL.
http://www.shs.ens.titech.ac.jp/~inohara/lab/courses.html
This course includes the content of science.