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Module Handbook-Mathematics-Universitas Brawijaya

Module Handbook

Module Name: Game Theory

Module Level: Bachelor

Abbreviation, if Applicable:

MAM62408 Sub-Heading, if

Applicable:

- Courses included in the module, if applicable

Game Theory Semester/term: 7th/1st year

Module Coordinator(s): Chair of the Lab. Industrial and Finance Mathematics Lectures(s) Sobri Abusini, M.T.

Language Indonesian

Classification within the curriculum

Elective Studies Teaching format / class

hours per week during semester:

100 minutes lectures per week.

Workload: Total workload is 3 ECTS, which consists of 1.67 hours lectures, 2 hours structured activities, 2 hours independent learning, 16 week per semester, and a total 90.67 hours per semester including mid exam and final exam.

Credit Points: 2

Requirements according to the examination regulations:

Students have taken Game Theory course (MAM62408), have attendance at least 80%, and have the examination card when the course is stated on.

Recommended prerequisties

Students have taken Operation Research I course (MAM61403) and have participated in the final exam on the module.

Learning

goals/competencies or

Module

objectives/intended learning outcomes

After completing this course the student should have

CLO1: able to understand the basic concepts of game theory CLO2: able to determine Strategy in Game Theory

CLO3: able to complete Pure Strategy and Mixed Strategy CLO4: able to calculate the Optimal Strategy with Nash Balance Content: 1. Introduction to Game Theory: History, understanding, general

provisions and elements of Game Theory

2. Strategy in Game Theory: Maximum criteria - minimaks, pure strategy, mixed strategy

3. Mixed Strategy: Domination, 2 x n and m x 2 game settlement, using the combination method, graphical method, and m x n game settlement with Brown method, m x n game settlement with the simplex method

4. Nash balance, characteristic function and Shapley Value

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Module Handbook-Mathematics-Universitas Brawijaya

Study / exam

achevements:

The final mark will be weighted as follows:

No. Assessment methods (component, activities). Weight

1. Assignment 20 %

2. Quiz 20 %

3. Mid examination 30 %

4. Final examination 30 %

Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80

B : 69 < Final Mark ≤ 75

C+ : 60 < Final Mark ≤ 69

C : 55 < Final Mark ≤ 60

D+ : 50 < Final Mark ≤ 55

D : 44 < Final Mark ≤ 50

E : 0 ≤ Final Mark ≤ 44

Forms of Media Slides and LCD projectors, laptop/ computer, whiteboards.

Learning Methods Lecture

Literature 1. Giocomo Bonanno, 2018, Game Theory, 2nd Edition.

2. Jun Tanimoto, 215, Fundamentals of Evolutionary Game Theory and Its Application. Springer – Japan.

3. Paul R. Thie, Gerard E. Keough, 2008, An Introduction to Linear Programming and Game Theory, Wiley & Sons, Inc.,Publication.

4. Philip D. Straffin, Game Theory and Strategy, The Mathematicals Association of America, 2004.

5. Qiming Huang, 2010, Game Theory, Sciyo, Croatia.

6. Sri Mulyono, 2002, Operation Research, Jakarta: Publisher Fakulty of Economics, University of Indonesia.

7. Taha, Hamdy A., Operation Research Volume 1, Jakarta:

Binarupa Aksara, 1996.

8. WWaynel Winston, 1995, Introduction to Mathematical Programming, Duxbury Press, Belmont California.

Notes:

Referensi

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