OPF:INMNPTEH Theory of Games and Economic D - Course Information

INMNPTEH Theory of Games and Economic Decisions

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.

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 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

• Managerial Informatics (programme OPF, N_SYSINF)

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
• 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)

The course can also be completed outside the examination period.

Teacher's information

Midterm test, 70% attendance at seminar sessions, final exam: test.

Activity	Difficulty [h]
Ostatní studijní zátěž	41
Přednáška	26
Seminář	13
Zápočet	30
Summary	110

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