The course is also offered to the students of the fields other than those the course is directly associated with.
Fields of study the course is directly associated with
there are 8 fields of study the course is directly associated with, display
After passing the course the students will understand three basic mathematical models (normal form, characteristic function, extensive form) in deep and they will master various concepts of equilibria and their calculations. Moreover, the students will be able to formalize practical problems by finding appropriate mathematical models and to discuss their equilibria.
n-person games in normal form (equilibra concepts, their existence).
2-person games in normal form (antagonistic games, optimal
strategies, solution of matrix games, games on the square, multi-stage games).
Nonantagonistic 2-person games (bimatrix games, utility
theory, the bargaing problem, threats).
n-person games in characteristic function form (the core, its existence,
von Neumann - Morgenstern's solution, the Shapley value,
applications in economics).
Games in extensive form.
G. Owen, Game Theory, Sounders Company 1983
Handbook of game theory with economic applications. Edited by Robert J. Aumann - Sergiu Hart. Amsterdam: North-Holland, 1994. 1520 s. ISBN 0444894276. info
A classical two-hour lecture once a week comprising both the theory and practical problems. In the consequential seminar, further problems are solved, most of them announced in advance. More advanced problems are assigned to concrete students in advance.
A written exam consisting of an extensive normal form problem and further two exercises concerning other types of games. Maximal numbers of points for all the parts of problems are given; one half is needed
to pass the exam.
Colloquium: one has to solve only the parts of exam problems or their simplifications; again one half is needed.
Language of instruction
The course is taught annually.
The course is taught: every week.