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Lecturer(s)
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Holeček Michal, RNDr. Ph.D.
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Course content
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Week 1: basic notations, motivation and examples Week 2-3: normal forms and extensive forms, dominated and dominating strategies Week 4-5: Nash theorem, proof, significance and determination of Nash equilibria Week 6-7: one-shot games and repeated games Week 8-9: complete and incomplete information Week 10-11: cooperative and non-cooperative games Week 12-13: mechanism design, incentives, brinkmanship and applications
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Learning activities and teaching methods
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Interactive lecture, Lecture supplemented with a discussion, Lecture with practical applications, Task-based study method
- Preparation for an examination (30-60)
- 50 hours per semester
- Contact hours
- 52 hours per semester
- Individual project (40)
- 28 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| understand basics of differential calculus (according to the scope of the course KMA/MA1) |
| understand basics of integral calculus (according to the scope of the course KMA/MA1) |
| understand basics of linear algebra (according to the scope of the course KMA/LAA) |
| understand basics of multivariate calculus (according to the scope of the course KMA/MA2) |
| understand basics of graph theory (according to the scope of the course KMA/DMA) |
| understand basics of probability theory (according to the scope of the course KMA/PSA) |
| Skills |
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| sketch real functions |
| perform elementary operations with matrices |
| determine basic characteristics of discrete and continuous probability distributions |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| to construct and analyze simple models with interactions |
| explain differences between static games, dynamic games, repeated games, collective games and games against field |
| to explain basics of modeling in game theory and the notion of equilibrium in a game (Nash equilibrium, Pareto equilibrium, etc.) |
| to differentiate between and work appropriately with problems with discrete and continuous variables |
| to differentiate between and work appropriately with deterministic and stochastic problems |
| Skills |
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| to find Nash Equilibrium of a matrix game |
| to find Subgame Perfect Nash Equilibrium of a dynamic game |
| to find Evolutionary Stable Strategy in game against field |
| to design a game-theoretical model based on a prescribed situation |
| Competences |
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| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture supplemented with a discussion |
| Interactive lecture |
| Task-based study method |
| Skills |
|---|
| Interactive lecture |
| Practicum |
| Competences |
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| Interactive lecture |
| Practicum |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Test |
| Skills |
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| Combined exam |
| Test |
| Competences |
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| Combined exam |
| Test |
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Recommended literature
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James N. Webb. Game Theory. Londýn: Springer, 2007. ISBN 1846284236.
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Myerson, Roger B. Game theory : analysis of conflict. Cambridge: Harvard University Press, 1991. ISBN 0-674-34116-3.
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