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2016　Decision Making C

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Academic unit or major
Humanities and social science courses
Instructor(s)
Inohara Takehiro 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon3-4(S011)  Thr3-4(S011)  
Group
-
Course number
LAH.T307
Credits
2
Academic year
2016
Offered quarter
2Q
Syllabus updated
2016/4/27
Lecture notes updated
2016/7/30
Language used
Japanese
Access Index

Course description and aims

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.

Student learning outcomes

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.

Keywords

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

Competencies that will be developed

✔ Specialist skills ✔ Intercultural skills ✔ Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

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

  Course schedule Required learning
Class 1 Simple games State the definition of simple games
Class 2 Committees State the definition of 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 Postulated permissible ranges State the definition of postulated permissible ranges
Class 10 Regretless alternatives State the definition of regretless alternatives
Class 11 A characterizations of cores of committees State the content and the meanings of a characterizations of cores of committees
Class 12 A re-definition of committees with permissible ranges of decision makers State the content and the meanings of a re-definition of committees with permissible ranges of decision makers
Class 13 A generalization of cores of committees State the content and the meanings of a generalization of cores of committees
Class 14 Stability and regretless-ness of alternatives State the definitions of stability and regretless-ness of alternatives
Class 15 A characterization of generalized core of committees State the content and the meanings of a characterization of generalized core of committees

Textbook(s)

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)

Reference books, course materials, etc.

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 criteria and methods

Assessment will be based on “summary reports” written during each class (50% in total) and the final examination (50%).

Related courses

  • LAH.T108 ： Decision Making A
  • LAH.T208 ： Decision Making B
  • LAH.T107 ： Social Modeling A
  • LAH.T209 ： Social Modeling B
  • LAH.T308 ： Social Modeling C

Prerequisites (i.e., required knowledge, skills, courses, etc.)

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.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Takehiro Inohara, inohara.t.aa[at]m.titech.ac.jp

Office hours

Instructor’s office: Rm. 813, 8 Fl., West Bldg. 9. Contact by e-mail in advance to schedule an appointment.

Other

This course includes the content of science.

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