Course detail
Introduction to Game Theory
FSI-0THAcad. year: 2024/2025
Basic course on Game Theory. Three basic mathematical models (normal form, characteristic function, extensive form) are studied. Various concepts of equilibria are discussed. Numerous practical problems are solved.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
Active attendance on the seminars. The exam has a written and and oral part. In a 60-minute written test, students have to solve assigned problems. During the oral part of the exam, the examiner will go through the test with the student. The examiner should inform the students at the last lecture at the least about the basic rules of the exam and the assessment of its results.
Attendance at lectures is recommended, attendance at seminars is required. The lessons are planned on the basis of a weekly schedule.
Aims
Students will be made familiar with theory games. They will be able to apply this theory in various engineering tasks.
Study aids
Prerequisites and corequisites
Basic literature
Maňas, M.: Teorie her a její aplikace, SNTL, Praha, 1991 (CS)
Bezalel Peleg, Peter Sudhölter, Introduction to the Theory of Cooperative Games, Springer Science & Business Media, 2007 ISBN: 3540729453, 9783540729457 (EN) (EN)
J. Gonzalez-Diaz, I. Garcia-Jurado, and M. G. Fiestras-Janeiro, An Introductory Course on Mathematical Game Theory. American Mathematical Society, 2010. (EN)
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
1. Linear algebra
2. General algebra
3. Explicit form games
4. Normal form games
5. Methods for equilibrium strategies search
6. Antagonistic conflict
7. Theory of matrix games
8. Theory of utility function
9. Theory of convention
10. Game theory in biology, evolution game theory
11. Cooperative games.
12. Utility theory
13. Applications
Exercise
Teacher / Lecturer
Syllabus
Following weeks: Seminar related to the topic of the lecture given in the previous week.
Elearning