M9301 Mathematical economy

Faculty of Science
Autumn 2002
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Jan Paseka, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Jan Paseka, CSc.
Prerequisites
Basic notions from linear algebra and mathematical analysis (Bc. course).
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 basic goal of the lecture is the introduction of the student with mathematical methods in the economical theory. The aim of the course is that students have to understand the basic mathematical models of mathematical economy and also a deeper understanding of the equilibrium theory and of the theory of preference relations or of the principles of shorttime and longtime optimization of the firm.
Syllabus
  • Introduction. Individual and society. Goods, consumers. Arrow's theorem. Utility function and Pareto optimality. Models of economics. Coalitions, cooperative games, nucleus of economics. Ekonomics and equilibrium. Individual demands. Equilibria, their exactness and number. Production. Production sets and the existence of competitive equilibrium. Marginal analysis.
Literature
  • Handbook of mathematical economics. Edited by Kenneth J. Arrow - Michael D. Intriligator. 5th imp. Amsterdam: North-Holland, 1994, 378 s. ISBN 0444861262. info
  • Handbook of mathematical economics. Edited by Michael D. Intriligator - Kenneth J. Arrow. 5th imp. Amsterdam: North-Holland, 1993, s. 379-107. ISBN 0444861270. info
  • Handbook of mathematical economics. Edited by Michael D. Intriligator - Kenneth J. Arrow. 2nd imp. Amsterdam: North-Holland, 1989, s. 1070-15. ISBN 0444861289. info
  • VOŠVRDA, Miloslav S. Teoretická ekonomie. 1. vyd. Praha: Karolinum, 1994, 191 s. ISBN 80-7066-857-1. info
  • Nikaido H., Vypuklyje struktury i matematičeskaja ekonomika, vol. II, Mir, Moskva 1972
  • Ekland I., Elementy matematičeskoj ekonomiki, Mir, Moskva 1983
Assessment methods (in Czech)
Přednáška jednou týdně po dvou hodinách plus jedna hodina cvičení. Přednáška bude ukončena kolokviem, jehož součásti bude samostatný referát.
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
Teacher's information
ftp://www.math.muni.cz/pub/math/people/Paseka/lectures/
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Spring 2019, Spring 2021, Spring 2023, Spring 2025.
  • Enrolment Statistics (Autumn 2002, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2002/M9301