M9301 Mathematical economy

Faculty of Science
Spring 2021
Extent and Intensity
2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: k (colloquium).
Teacher(s)
prof. RNDr. Jan Paseka, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 1. 3. to Fri 14. 5. Fri 9:00–10:50 online_M3
  • Timetable of Seminar Groups:
M9301/01: Mon 1. 3. to Fri 14. 5. Fri 11:00–11:50 online_M3, J. Paseka
Prerequisites
Basic notions from linear algebra and mathematical analysis (Bc. course).
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The basic goal of the lecture is the introduction of the student to mathematical methods in the economical theory. Some applications of mathematical economy are mentioned.
Learning outcomes
At the end of learning period of the course, student:
* understands and uses the basic mathematical models of mathematical economy
* is able to analyze specific situations leading to an equilibrium and to determine preference relations of agents of the economy
* is able to propose a procedure for dealing with short- and long-term 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.
  • Economics 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
Teaching methods
Lecture with a seminar. Lectures are supported by reading and moderated group discussions.
Assessment methods
Examination is via colloquium. Students will be asked to participate actively in seminars and to do a written homework satisfying usual publication standards (citations, references) that will be lectured at some seminar. The theme will be chosen after the negotiation with the lecturer.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Teacher's information
ftp://www.math.muni.cz/pub/math/people/Paseka/lectures/
The lessons are usually in Czech or in English as needed, and the relevant terminology is always given with English equivalents. The target skills of the study include the ability to use the English language passively and actively in their own expertise and also in potential areas of application of mathematics. Assessment in all cases may be in Czech and English, at the student's choice.
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 2002, 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 2023, Spring 2025.
  • Enrolment Statistics (Spring 2021, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2021/M9301