1. SylabUZ
2. Wydział Matematyki, Informatyki i Ekonometrii
3. semestr zimowy 2023/2024
4. Mathematics - drugiego stopnia z tyt. magistra
5. Game Theory in Economics

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Game Theory in Economics - opis przedmiotu

Cel przedmiotu

The students get acquainted with the preliminaries of game theory and examples of its application.

 

Wymagania wstępne

Zapisz zmiany

Basic course of linear algebra, mathematical analysis and probability theory.

Zakres tematyczny

1. The importance of game theory in economics and social studies.   Mathematical models in game theory. The genesis and origins of contemporary game theory. (2 hours).
2. Extensive form games. Economic examples (4 hours).
3. Definition of strategy in the game. Normal form (matrix) game. Two person zero-sum games (2 hours).
4. Classical normal form games. Prisoniers dillemma, volunteer's dilemma, ultimatum game (2 hours).
5. Domination, mixed strategies and Nash equilibrium. The theorem of Nash on the existence of equilibria in mixed strategies. Pareto optima (4 hours).
6. Max-min and min-max strategies in zero-sum games. Saddle points (4 hours).
7. Creating coalitions through cooperative games.(4 hours).
8. Dynamic games (2 hours).
9. Application of game theory in economics. Competition models in duopoly and oligopoly. Cournota, Bertrand and Stackelberg model (6 hours).

Metody kształcenia

The teaching methods include conventional lectures, solving math problems on the blackboard supported by the teacher, discussion among the group on methods of solving problems, and individual consultations.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

A positive evaluation of the class is a prerequisite for passing the exam. The evaluation of the course consists of the assessment of the class (40%) and the evaluation of the exam (60%). The prerequisite to passing the course is a positive evaluation of the exam.   

 

Literatura podstawowa

1. G. Owen, Game Theory, Emerald Publishing, 2013.
2. J. Watson, Strategy: An Introduction to Game Theory Third Edition, W. W. Norton & Company, 2013.
3. P. D. Straffin, Game Theory and Strategy,  American Mathematical Society, 2023.

Literatura uzupełniająca

1. H.R.Varian,  Microeconomic Analysis (3rd Revised edition), W.W. Norton & Company 1992.
2. W.F.Samuelson, S.G.Marks, Managerial economics, Wiley, 2014.

Uwagi

Zmodyfikowane przez dr Ewa Sylwestrzak-Maślanka (ostatnia modyfikacja: 10-04-2024 16:08)