Course code CTU08
Course title Game Theory
Institution Czech Technical University in Prague
Course address Czech Technical University, Faculty of Transportation Sciences, Na Florenci 25, 110 00 Prague 1, Czech Republic
City Prague
Minimum year of study 3rd year
Minimum level of English Good
Minimum level of French None
Key words game theory, non-cooperative game, cooperative game, repeated game, optimal decision, utility theory
Language English
Professor responsible Magdalena Hyksova
Telephone +420 2 2489 0709
Fax +420 2 2489 0702
Participating professors
Number of places Minimum: 10, Maximum: 22, Reserved for local students: 0
Objectives Game is a mathematical model of any decision situation, the result of which depends on the decision of at least two different individuals. Since such situations can be found in almost all fields related to our lives, the domain of applications of game theory is exceptionally broad and rich. It covers economics, industry, political and social sciences, transportation, warfare, biology, ethics and many other branches. Not only represents game theory an outstanding opportunity to persuade a wide audience of the importance, usefulness and even attractiveness of mathematics, it leads mathematicians and technicians to such fields as ethology, evolutionary biology, social sciences, etc., that would otherwise remain marginal for many of them. The aim of the course is to provide the survey of game theory and its fascinating applications.
Programme to be followed The course covers:
1. Classification and mathematical models of decision situations, history
2. Utility theory, rational choice theory
3. Explicit form games
4. Normal form games
5. Bimatrix games, methods for equilibrium strategies search
6. Repeated games
7. Antagonistic conflict, theory of matrix games
8. Two-person cooperative games without transferable payoffs
9. N-person cooperative games
10. Power indices
11. Decisions under risk and uncertainty
12. Decisions in conflicts against p-intelligent players
Prerequisites Basic undergraduate calculus and algebra.
Course exam Written.