MU24017 Mathematical Economics Once More

Mathematical Institute in Opava
Winter 2015
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
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
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)
The course can also be completed outside the examination period.
Teacher's information
Students have to elaborate a short mathematical work.
The course is also listed under the following terms Summer 2010, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2016, Winter 2017, Winter 2018, Winter 2019.
  • Enrolment Statistics (Winter 2015, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2015/MU24017