Microeconomics - NEKN010

• Title: Mikroekonomie
• Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2006
• Semester: winter
• E-Credits: 6
• 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: cancelled
• Language: Czech
• Teaching methods: full-time
• Teaching methods: full-time
• Guarantor: prof. RNDr. Karel Zimmermann, DrSc.
• Class: Finanční matematika; Finanční a pojistná matematika
• Classification: Mathematics > Math. Econ. and Econometrics
• Incompatibility : NEKN009, NOPT013

Annotation

English

Last update: T_MUUK (31.01.2001)

Necessary mathematical foundations for the further explanation of mathematical models of microeconomics are surveyed ( theory of relations, foundations of linear programming, linear differential and difference equations with constant coefficients, some results concerning nonnegative matrices). The following parts of microeconomics are then treated: Foundations of utility theory with application to consumer' s behavior, Slucki equation; theory of firm, Cobb-Douglas production function and their generalizations, the simplest supply-demand equilibrium models both with continuous and discrete time, foundations of the theory of price indices, basic Leontjev models. The lecture is completed with a practical exercise, in which numerical examples are trained. Some more complicated proofs are omitted.

Czech

Last update: ()

Základy teorie užitku, teorie chování spotřebitele, modely rovnováhy nabídky a poptávky, Leontjevovy modely. ~ Předpoklady MAA003, MAA004

Literature

Last update: RNDr. Pavel Zakouřil, Ph.D. (05.08.2002)

Ašmanov S.A.: Vvěděnije v matěmatičeskuju ekonomiku. Moskva, Nauka 1984

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

Fishburn P.: Utility Theory for Decision Making. John Wiley 1970, rus. překlad 1978

Henderson J.M., Quandt R.E.: Microeconomic Theory. A Mathematical Approach. Mc Graw Hill 1971

Nikaido : Convex Structures and Economic Theory. Academic Press, New York-London 1968, rus. překlad 1972

Chiang A.C.: Fundamental Methods of Mathematical Economics. McGraw Hill 1984

Syllabus

English

Last update: T_KPMS (14.05.2003)

Theory of relations, foundations of linear programming, linear differential and difference equations with constant coefficients, some results concerning nonnegative matrices.

Foundations of utility theory with application to consumer' s behavior, Slucki equation; theory of firm, Cobb-Douglas production function and their generalizations, the simplest supply-demand equilibrium models.

Czech

Last update: ()

1. Základy axiomatické teorie užitku. Pojem preferenční relace, existence ordinální užitkové funkce, některé indeterministické modely teorie užitku.

2. Základy teorie chování spotřebitele. Poptávková funkce, Sluckého rovnice. Základní optimalizační úlohy.

3. Základy teorie firmy. Různé typy produkčních funkcí a jejich vlastnosti, základní optimalizační úlohy teorie firmy.

4. Některé lineární modely. Modely založené na lineárním programování, Leontjevovy modely typu input-output.