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OPF:INMNAHER Game Theory and Economic Decis - Course Information

## INMNAHER Game Theory and Economic Decisions

**School of Business Administration in Karvina**

Winter 2019

**Extent and Intensity**- 2/1/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- doc. RNDr. David Bartl, Ph.D. (lecturer)

doc. RNDr. David Bartl, Ph.D. (seminar tutor) **Guaranteed by**- doc. RNDr. David Bartl, Ph.D.

Department of Informatics and Mathematics - School of Business Administration in Karvina

Contact Person: Mgr. Radmila Krkošková, Ph.D. **Prerequisites**(in Czech)- FAKULTA ( OPF ) && TYP_STUDIA ( N ) && FORMA ( P )

K absolvování předmětu nejsou vyžadovány žádné podmínky a předmět může být zapsán nezávisle na jiných předmětech. **Course Enrolment Limitations**- The course is only offered to the students of the study fields the course is directly associated with.

**fields of study / plans the course is directly associated with**- Managerial Informatics (programme OPF, N_MI)

**Syllabus**- 1. Game theory - introduction

History and topic of the game theory, basic definitions of mathematical models, classification of decision-making situations. Normal form games, explicit form games, characteristic form games. Strategies, situations, dominance of strategies and situations, Nash equilibrium point.

2. Antagonistic conflicts

Antagonistic games, Nash equilibrium strategies in antagonistic games. Solution of antagonistic conflicts as linear programming problem using PC software.

3. Non-antagonistic conflicts non-cooperative games of two players

Theory of matrix games, methods for seeking equilibrium strategies. Equilibrium strategies for non-antagonistic conflicts non-cooperative games of two players. Elimination of dominated strategies, response functions, transformation into the quadratic programming problem.

4. Cooperative games of two players

Transferable utility function, non-transferable utility function, Nash bargaining axioms.

5. Cooperative games of N players with transferable utility function

Non-cooperative games of N players.

6. Application of cooperative games of N players in public choice

Voting systems, creation of coalitions, manipulation. Effective voting systems and coalition power measure - Shapley value, Shapley-Shubik, Banzhaf-Coleman and Holler-Packel power indices.

7. Sequence games

Explicit form games, relations with normal form games. Economic applications of sequence games. Models of oligopoly, leaders and followers, Stackelberg model of oligopoly.

- 1. Game theory - introduction
**Literature**- MIELCOVÁ, E.
*Teorie her a ekonomické rozhodování*. Karviná: SU OPF, 2014. ISBN 978-80-7510-029-0. info

*required literature*- MIELCOVÁ, E.
**Teaching methods**- Skills demonstration

Seminar classes **Assessment methods**- Credit
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- The course can also be completed outside the examination period.
**Teacher's information**Activity Difficulty [h] Ostatní studijní zátěž 41 Přednáška 26 Seminář 13 Zápočet 30 **Summary**110

- Enrolment Statistics (recent)

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