M9302 Mathematical models in economics

Faculty of Science
Autumn 2008
Extent and Intensity
2/1. 3 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
Mgr. Jan Mysliveček, Ph.D. (lecturer), doc. RNDr. Martin Čadek, CSc. (deputy)
doc. RNDr. Martin Čadek, CSc. (assistant)
Guaranteed by
prof. RNDr. Jan Paseka, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Fri 19. 9. 8:00–9:50 G2,02003, Fri 3. 10. 8:00–9:50 G2,02003, Fri 17. 10. 8:00–9:50 G2,02003, Fri 31. 10. 8:00–9:50 G2,02003, Fri 7. 11. 8:00–9:50 G2,02003, Fri 21. 11. 8:00–9:50 G2,02003, Fri 5. 12. 8:00–9:50 G2,02003, Fri 12. 12. 8:00–9:50 G2,02003
  • Timetable of Seminar Groups:
M9302/01: Fri 19. 9. 12:00–15:50 M1,01017, Fri 3. 10. 12:00–15:50 M1,01017, Fri 17. 10. 12:00–15:50 M1,01017, Fri 31. 10. 12:00–15:50 M1,01017, Fri 7. 11. 12:00–15:50 M1,01017, Fri 21. 11. 12:00–15:50 M1,01017, Fri 5. 12. 12:00–15:50 M1,01017, Fri 12. 12. 12:00–15:50 M1,01017, J. Mysliveček
Prerequisites
No specific courses are required. Basic knowledge of calculus is expected. Knowledge of economics is not necessary. Elemtary knowledge of English will be advantageous.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The course provides an introduction to current topics in Economics. The goal is to provide an overview of methods of economic analysis: design of economic models, their solutions and interpretation of results. The course should provide knowledge of basic tools of economic modeling and teach students how to use them. Since the literature covering most of the topics is not available in Czech, study notes will be provided. Further details will be available from resources in English (published papers and chapters of books). Knowledge of these materials will not be required for the final test.
Syllabus
  • The course will provide an overview over these topics. Detail information will be available before the beginning of a semester.
  • 1. Introduction to Game Theory (Normal Form, Extensive Form). Games of complete and incomplete information and their solution concepts (Nash Equilibrium, Bayes Nash Equilibrium, backward induction, subgame perfection, sequential rationality).
  • 2. Repeated Games, Folk Theorem
  • 3. Rubenstein Bargaining, Nash Bargaining
  • 4. Models of asymmetry of information (Principal Agent Problems)
  • 5. Models of imperfect competition (Bertrand, Cournot, Stackelberg)
  • 6. Products differentiation (Horizontal, Vertical)
  • 7 Theory of Information, Information Cascades
  • 8. Auctions
  • 9. Moral Hazard, Adverse Selection (Signaling, Screening)
  • 10. Cheap Talk
Literature
  • VARIAN, Hal R. Intermediate microeconomics : a modern approach. Online. 6. ed. New York: W.W. Norton, 2002. xxiv, 688. ISBN 0393978303. [citováno 2024-04-24] info
Assessment methods
Exam: 2-3 homeworks during semester (20%), written exam (80%).
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught only once.
General note: Rozsah 2 hodiny přednášky a 1 hodina cvičení je týdenní. Při výuce jednou za 14 dní, budou 4 hodiny přednášky a 2 hodiny cvičení.
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017.
  • Enrolment Statistics (Autumn 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2008/M9302