Basic undergraduate calculus and algebra.

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. Game theory not only represents an outstanding opportunity to persuade a wide audience of the importance, usefulness and even attractiveness of mathematics, it also 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.

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

Written

Saturday, November 14, 16:00 – 18:00 Welcome meeting
Sunday, November 15, 15:00 –  18:00 Prague Discovery Game, 18:00 - 21:00 Dinner party
Friday, November 20, 17:00 – 19:00 – Farewell Party