OPF:INMNAHER Game Theory and Economic Decis - Course Information

INMNAHER Game Theory and Economic Decisions

Extent and Intensity

2/1/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

Ing. Elena Mielcová, Ph.D. (lecturer)
Ing. Elena Mielcová, Ph.D. (seminar tutor)

Guaranteed by

Ing. Elena Mielcová, Ph.D.
Department of Informatics and Mathematics – School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D.

Prerequisites (in Czech)

K absolvování předmětu nejsou vyžadovány žádné podmínky a předmět může být zapsán nezávisle na jiných předmětech.

Course Enrolment Limitations

The course is offered to students of any study field.

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.

Literature

required literature
• MIELCOVÁ, E. Teorie her a ekonomické rozhodování. Online. Karviná: SU OPF, 2014. ISBN 978-80-7510-029-0. [citováno 2024-04-23] info

recommended literature
• MAŇAS, M. Teorie her a konflikty zájmů. Online. Praha : Oeconomica, 2002. ISBN 80-245-0450-2. [citováno 2024-04-23] info
• MYERSON, R. B. Game Theory: Analysis of Conflict. Online. Harvard University Press, 1997. ISBN 9780674341166. [citováno 2024-04-23] info

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 (Summer 2019, recent)
  
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