INMNPHER Game Theory and Economic Decisions

School of Business Administration in Karvina
Winter 2022
Extent and Intensity
2/1/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. David Bartl, Ph.D. (lecturer)
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.
Timetable
Wed 12:15–13:50 B307
  • Timetable of Seminar Groups:
INMNPHER/01: Wed 13:55–14:40 B307, D. Bartl
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.

The capacity limit for the course is 5 student(s).
Current registration and enrolment status: enrolled: 5/5, only registered: 0/5
fields of study / plans the course is directly associated with
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. Karviná: SU OPF, 2014. ISBN 978-80-7510-029-0. info
    recommended literature
  • MAŇAS, M. Teorie her a konflikty zájmů. Praha : Oeconomica, 2002. ISBN 80-245-0450-2. info
  • MYERSON, R. B. Game Theory: Analysis of Conflict. Harvard University Press, 1997. ISBN 9780674341166. info
Teaching methods
Skills demonstration
Seminar classes
Assessment methods
Credit
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
ActivityDifficulty [h]
Ostatní studijní zátěž41
Přednáška26
Seminář13
Zápočet30
Summary110
The course is also listed under the following terms Summer 2019, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (recent)
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