Mathematical Economics - NMEK531
Title: Matematická ekonomie
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. Ing. Miloš Kopa, Ph.D.
Class: M Mgr. PMSE
M Mgr. PMSE > Povinně volitelné
Classification: Mathematics > Math. Econ. and Econometrics
Is interchangeable with: NEKN009
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Annotation -
Foundations of preference relations, utility theory, stochastic dominance, consumer's behavior, theory of firm, various models of supply and demand equilibria, Leontjev models, introduction to game theory, cooperative and non-cooperative games.
Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (10.09.2013)
Aim of the course -

The students will learn basic mathematical approaches to solving selected

probléme of mathematical economics.

Last update: T_KPMS (10.05.2013)
Course completion requirements -

The course is finished by a credit and exam. To get the credit, students have to:

1, attend at least 70% of all excercises

2, Get at least 70% points from the written test. Each student can repeat the test no more than twice.

The credit has to be obtained before the exam.

Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (24.10.2019)
Literature -

Černý, M. a kol.: Axiomatické teorie užitku. SPN, Praha, 1975

Chiang, A.C.: Fundamental Methods of Mathematical Economics. 3rd edition. Mc Graw Hill, 1984

Nikaido, H.: Convex Structures and Economic Theory. Academic Press, 1968, ruský překlad z r. 1971

Ašmanov, A.: Vvedenije v matěmatičeskuju ekonomiku. Nauka, Moskva, 1984

Turnovec, F.: Úvod do mikroekonomickej teórie. Skripta EU, Bratislava, 1992

Zimmermann, K.: Úvod do matematické ekonomie, Skripta MFF UK, Matfyzpress, 2002

Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (24.10.2019)
Teaching methods -

Lecture + exercises.

Last update: T_KPMS (10.05.2013)
Requirements to the exam -

The exam consists only of the oral part. Geting the credit is the necessary condition for participation at the exam.

The exam requirements correspond to the sylabus and lectures.

Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (24.10.2019)
Syllabus -

Foundations of utility theory; consumer's behavior; theory of firm, various models of supply and demand equilibria, Leontjev models, Game theory

Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (10.09.2013)
Entry requirements -

Basic knowledge of Statistics, Optimization and Linear Algebra.

Last update: Kopa Miloš, doc. RNDr. Ing., Ph.D. (13.05.2019)