Game Theory

  • Credits: 6
  • Ending: Examination
  • Range: 2P + 2C
  • Semester: winter
  • Year: 2
  • Faculty of Economic Informatics

Teachers

Included in study programs

Data Science in Economics

Teaching results

In particular, students acquire the following abilities:
- basic knowledge of conflict decision-making situations, types of conflicts, decision-making and the possibility of taking an equilibrium strategy in conflict decision-making situations in the case of antagonistic and non-antagonistic conflicts
Students acquire in particular the following skills:
- skills to analyze and solve conflicting decision-making situations
Students will acquire the following competencies:
- practical skills and competencies with the application of optimization methods in the field of conflict decision-making situations, their analysis and solving using appropriate software (Python language)

Indicative content

1, Decision theory, utility theory and related paradoxes
2, Games against nature
3, Basic concepts of conflict situation modeling, two player games, game definition, game classification, problems of equilibrium decision making in games
4, Bimatrix games, equilibrium solution of the game, solution of the game in pure strategies, solution of the game in mixed strategies (special types of games).
5, Bimatrix games, solving the game in mixed strategies (special types of games), Kuhn-Tucker's optimality conditions, solving the game in mixed strategies, cooperative solving
6, Matrix games, equilibrium strategies of players, their existence and properties, solving games in pure strategies, solving games in mixed strategies (special types of games)
7, Matrix games, solving games in mixed strategies, relationships between matrix games and linear programming problems
8, Multiplayer games, non-cooperative game solutions
9, Multiplayer games, cooperative game solutions
10, Multiplayer games, voting games
11, Repeated games
12, Extensive form games
13, Application of game theory in various fields (examples of various practical applications)

Support literature

Chobot M. – Turnovec F. – Ulašín V.: Teória hier a rozhodovania. Alfa, Bratislava 1991
Goga M.: Teória hier. Iura Edition, 2012
Dlouhý M. – Fiala, P.: Teorie ekonomických a politických her. Oeconomica, 2015
Čičková a kol.: Vybrané aplikácie teórie hier. Letra Edu, 2019
Gibbons R. Game theory for applied economics. Princenton University Press, Princenton 1992.

Requirements to complete the course

40 % final paper and continuous testing
60 % final exam

Student workload

Total study load (in hours): 6 credits x 26 hours = 156 hours
Lectures participation: 26 hours
Seminars participation: 26 hours
Final paper preparation: 52 hours
Preparation for the exam and continuous tests: 52 hours

Language whose command is required to complete the course

Slovak

Date of approval: 10.02.2023

Date of the latest change: 16.05.2022