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Lecturer(s)
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Křivan Vlastimil, prof. RNDr. CSc.
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Course content
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1. Games in extended form 2. Normal form games 3. Zero-sum games, saddle point, maxmin theorem 4. Nash equilibrium 5. Classification of Nash equilibria for two-strategy games 6. Evolutionary games, evolutionary stability 7. Classification of evolutionary stability for two strategy games 8. Evolution of aggression (Hawk-Dove game) 9. Replicator dynamics 10. Rock-paper-scissors game
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book), E-learning
- Preparation for classes
- 26 hours per semester
- Class attendance
- 26 hours per semester
- Preparation for exam
- 26 hours per semester
- Semestral paper
- 6 hours per semester
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Learning outcomes
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The aim of the course is introduction to game theory and its applications.
Game theory is one of the essential methodologies used in evolutionary biology, economics, and political sciences. Students will learn this methodology and some of its biological applications. they will be able to formulate models using the game theory, analyse these models, and interpret the results.
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Prerequisites
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Basics of linear algebra, ordinary differential equations.
UMB/587 and UMB/CV587
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Assessment methods and criteria
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Combined exam, Seminar work
1. Attendance at least 80% 2. Students will be asked to work out one project per semestr. The project must be handed in before the final exam.
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Recommended literature
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J. Hofbauer, K. Sigmund. Evolutionary games and population dynamics. Cambridge University Press, 1998. ISBN 9781139173179.
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M. Maschler, E. Solan, S. Zamir. Game Theory. Cambridge University Press, 2013. ISBN 978-1-107-00548-8.
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