Course detail
Introduction to Game Theory
FSI-0TH-AAcad. 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
English
Number of ECTS credits
4
Mode of study
Not applicable.
Guarantor
Department
Entry knowledge
Linear algebra and elementary general algebra.
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.
Attendance at lectures is recommended, attendance at seminars is required. The lessons are planned on the basis of a weekly schedule.
Aims
The course aims to acquaint the students with the basics of game theory. Another goal of the course is to develop the students' logical thinking.
Students will be made familiar with theory games. They will be able to apply this theory in various engineering tasks.
Students will be made familiar with theory games. They will be able to apply this theory in various engineering tasks.
Study aids
Not applicable.
Prerequisites and corequisites
Not applicable.
Basic literature
Bezalel Peleg, Peter Sudhölter, Introduction to the Theory of Cooperative Games, Springer Science; Business Media, 2007 ISBN: 3540729453, 9783540729457 (EN)
J. Gonzalez-Diaz, I. Garcia-Jurado, and M. G. Fiestras-Janeiro, An Introductory Course on Mathematical Game Theory. American Mathematical Society, 2010. (EN)
Solan, E.: A Course in Stochastic Game Theory, London Mathematical Society Student Texts, Cambridge: Cambridge University Press, 2022 (EN)
Ulrich Faigle, Mathematical Game Theory, World Scientific. ISBN-10. 9811246696. (2022) (EN)
J. Gonzalez-Diaz, I. Garcia-Jurado, and M. G. Fiestras-Janeiro, An Introductory Course on Mathematical Game Theory. American Mathematical Society, 2010. (EN)
Solan, E.: A Course in Stochastic Game Theory, London Mathematical Society Student Texts, Cambridge: Cambridge University Press, 2022 (EN)
Ulrich Faigle, Mathematical Game Theory, World Scientific. ISBN-10. 9811246696. (2022) (EN)
Recommended reading
Guillermo Owen, Game Theory, Vydání 4., Emerald Group Publishing, 2013, ISBN: 1781905088, 9781781905081 (EN)
Leonardo Badia Thomas Marchioro GAME THEORY A handbook of problems and exercises ISBN 978-88-9385-286-9 Società Editrice Esculapio (2022) (EN)
Solan, E.: A Course in Stochastic Game Theory, London Mathematical Society Student Texts, Cambridge: Cambridge University Press, 2022 (EN)
Leonardo Badia Thomas Marchioro GAME THEORY A handbook of problems and exercises ISBN 978-88-9385-286-9 Società Editrice Esculapio (2022) (EN)
Solan, E.: A Course in Stochastic Game Theory, London Mathematical Society Student Texts, Cambridge: Cambridge University Press, 2022 (EN)
Elearning
eLearning: currently opened course
Classification of course in study plans
- Programme N-AIM-A Master's 2 year of study, winter semester, compulsory-optional
- Programme N-MAI-A Master's 2 year of study, winter semester, compulsory-optional
- Programme N-LAN-A Master's 1 year of study, winter semester, compulsory
- Programme C-AKR-P Lifelong learning
specialization CZS , 1 year of study, winter semester, elective
Type of course unit
Lecture
26 hod., optionally
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
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
13 hod., compulsory
Teacher / Lecturer
Syllabus
1st week: Basics of linear algebra.
Following weeks: Seminar related to the topic of the lecture given in the previous week.
Following weeks: Seminar related to the topic of the lecture given in the previous week.
Elearning
eLearning: currently opened course