INMNATEH Theory of Games and Economic Decisions

School of Business Administration in Karvina
Winter 2018
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: z (credit).
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.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the Game Theory for Economists course is to explain bases of optimal decision making in common economic situations covering conflict issues. The curriculum of the course covers basic definitions of the game theory. Students will be able to recognize and to analyze conflict situations in real world.
Syllabus
  • 1. Game theory - history and background. Classification of decision-making situations.
    2. Basic forms of games.
    3. Basic game theory definitions.
    3. Antagonistic conflicts.
    3. Matrix games.
    4. Conflicts with infinite amount of strategies.
    5. Solution of antagonistic conflicts as linear programming problem using PC software.
    6. Non-antagonistic conflicts non-cooperative games of two players.
    7. Equilibrium strategies for non-antagonistic conflicts non-cooperative games of two players.
    8. Cooperative games of two players.
    9. Cooperative games of N players with transferable utility function.
    10. Application of cooperative games of N players in public choice.
    11. Effective voting systems and coalition power measure.
    12. Sequence games.
    13. Economic applications of sequence games.
    1. Game theory - history and background. Classification of decision-making situations.
    History and topic of the game theory, basic definitions of mathematical models, classification of decision-making situations.
    2. Basic forms of games.
    Normal form games, explicit form games, characteristic form games.
    3. Basic game theory definitions.
    Strategies, situations, dominance of strategies and situations, Nash equilibrium point.
    4. Antagonistic conflicts
    Antagonistic games, Nash equilibrium strategies in antagonistic games.
    5. Solution of antagonistic conflicts as linear programming problem using PC software.
    Solution of specific problems using PC software.
    6. Non-antagonistic conflicts non-cooperative games of two players.
    Theory of matrix games, methods for seeking equilibrium strategies.
    7. Equilibrium strategies for non-antagonistic conflicts non-cooperative games of two players.
    Elimination of dominated strategies, response functions, transformation into the quadratic programming problem.
    8. Cooperative games of two players
    Transferable utility function, non-transferable utility function, Nash bargaining axioms.
    9. Cooperative games of N players with transferable utility function.
    Non-cooperative games of N players.
    10. Application of cooperative games of N players in public choice.
    Voting systems, creation of coalitions, manipulation.
    11. Effective voting systems and coalition power measure.
    Effective voting systems, Shapley value, Shapley-Shubik, Banzhaf-Coleman and Holler-Packel power indices.
    12. Sequence games
    Explicit form games, relations with normal form games.
    13. Economic applications of sequence games.
    Models of oligopoly, leaders and followers, Stackelberg model of oligopoly.
Literature
    required literature
  • OSBORNE, M. J. An introduction to game theory. Oxford University Press, Oxford, London, N. York, 2004. ISBN 978-0-19-512895-6. info
    recommended literature
  • HARRINGTON, J. E. Jr. Games, Strategies and Decision Making. Worth Publishing. ISBN 978-1429239967. 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
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
Midterm test, 70% attendance at seminar sessions, final exam: test.
ActivityDifficulty [h]
Ostatní studijní zátěž41
Přednáška26
Seminář13
Zápočet30
Summary110
The course is also listed under the following terms Winter 2014, Summer 2015, Winter 2015, Summer 2016, Winter 2016, Summer 2017, Winter 2017, Summer 2018, Summer 2019.
  • Enrolment Statistics (Winter 2018, recent)
  • Permalink: https://is.slu.cz/course/opf/winter2018/INMNATEH