MU:MU24017 Mathematical Economics Once Mo - Course Information

MU24017 Mathematical Economics Once More

Extent and Intensity

2/0/0. 4 credit(s). Type of Completion: z (credit).

Teacher(s)

Ing. Mgr. Barbora Volná, Ph.D. (lecturer)

Guaranteed by

Ing. Mgr. Barbora Volná, Ph.D.
Mathematical Institute in Opava

Prerequisites (in Czech)

TYP_STUDIA ( N )

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

• Applied Mathematics (programme MU, N1101)

Course objectives

The purpose of this subject is to make students familiar with foundations of the mathematical economy as a part of pure mathematics.

Syllabus

• - distributions and preferences as an axiomatic system
  - Arrow theorem
  - continuous preferences and corresponding utility functions
  - utility maximization on the budget set
  - dissatisfied demand and Walras law
  - the price simplex
  - Brouwer and Kakutani fixed point theorems with applications
  - existence of the price equilibrium

Literature

recommended literature
• Vohra, Rakesh V. Advanced Mathematical Economy. London 2009. info
• K. Zimmermann. Úvod do matematické ekenomie. Karolinum Praha, 2002. ISBN 80-246-0464-7. info
• D. Saari. Mathematical Complexity of Simple Economics. Notices AMS Vol. 42 (1993) No. 2, pp. 222-230, 1993. info
• S. A. Ašmanov. Vvedenije v matěmatičeskuju ekonomiku. Moskva, Nauka, 1984. info
• I. Ekeland. Élements d?économie mathématique. Paris, Hermann, 1979. info

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.

Teacher's information

Credit - presentation of the given topic.

• Enrolment Statistics (recent)
  
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