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Lecturer(s)
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Course content
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1. Decision-making and Theory of games, history, object of DCS as a subject of operational research, John Von Neumann formulation of the Theory of games problem. 2. Classification of DMS. 3. Key terms and definitions I. 4. Key terms and definitions II. 5. Matrix games I. 6. Matrix games II. 7. General model of conflict DMS in normal form. 8. General model of conflict DMS in developed form. 9. Finite non antagonistic conflict of 2 players cooperative theory. 10. Finite non antagonistic conflict of 2 players non cooperative theory. 11. DMS with risk and under uncertainty. 12. Economic games. 13. Military games.
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Learning activities and teaching methods
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unspecified, Skills training
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Learning outcomes
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The aim of the course is to acquaint students with the basic principles of decision-making situations modelling and solutions. Lectures include short review of operational research (OR) history, connections between partial disciplines of OR, classification of decision- making situations, key definitions and theorems, methodological background of DMS solution, exact and approximative methods of DMS solution.
After the course completion the student will have mastered philosophy and approaches towards mathematical model design of decision situations and is able to use mathematical methods for modelling and solving them and determine optimal strategies of participants of the decision-making situation.
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Prerequisites
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Basic knowledge of linear algebra, matrices, combinatorics, statistics, theory of probability, basic knowledge of linear programming methods.
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Assessment methods and criteria
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Oral examination, Written examination, Didactic test
Passing 2 written tests, the satisfactory result of a theoretical exam.
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Recommended literature
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Baye, M. R. Managerial Economics and Business Strategy. McGraw-Hill, 2001, 2001.
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John von Neumann, Oscar Morgenstern. Theory of Games and Economic Behaviour.. Princeton University Press, 2004.
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Jones, A.J. Game Theory: Mathematical Models of Conflict. J. Wiley, New York 1980, 1980.
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