Lecturer(s)


Stehlík Petr, Doc. RNDr. Ph.D.

Tomiczková Světlana, RNDr. Ph.D.

Course content

1. Specifics of mathematical economics. Classification of variables. 2. Decision theory. Optimization vs. game theory. Actions, strategies, behaviour. 3. Static games. Dominance. 4. Nash equilibirum. Best response function. Zerosum games. 5. Dynamic games. Empirical economics (discrete ultimatum). 6. Mixed games. Market entrance models. 7. Discounting theory. Repetition. Time inconsistency. 8. Continuous approximations. Duopoly, oligopoly models. 9. Collective cooperation. Externalities. Pigou tax. 10. Mechanism design. Moral hazard. Auction theory. 11. Evolutionary stable strategies. 12. Replicator dynamics. Market saturation models. 13. Reserve.

Learning activities and teaching methods

Interactive lecture, Lecture supplemented with a discussion, Taskbased study method, Textual studies, Seminar
 Preparation for an examination (3060)
 40 hours per semester
 Individual project (40)
 40 hours per semester
 Contact hours
 60 hours per semester

prerequisite 

professional knowledge 

Students should be familiar with basic notions of mathematical calculus (derivatives and integrals, e.g., KMA/MA1,MA2) and probability theory (e.g., KMA/PSA) The knowledge of basic economical principles and theory is an advantage. 
learning outcomes 

By the end of the course, a successful student should be able to formule simple and extended economical models using mathematical apparatus. He/she will be able to describe the construction of mathematical models for choice topics from microeconomy and macroeconomy., will be able to analyse behaviour of these models, to find general solutions, to give economical and mathematical interpretations of results. 
teaching methods 

Lecture supplemented with a discussion 
Interactive lecture 
Seminar 
Taskbased study method 
Textual studies 
assessment methods 

Combined exam 
Report 
Seminar work 
Group presentation at a seminar 
Quality of a written report 
Recommended literature


ALLEN, R. G. D. Makroekonomická teorie : matematický výklad. Vyd. 1. Praha : Academia, 1975.

ALLEN, R. G. D. Matematická ekonomie. Praha : Academia, 1971.

Angel de la Fuente. Mathematical Methods and Models for Economists. Cambridge University Press. ISBN 0521585295.

Baldani, J.  Brandfield, J.  Turner R. W. Mathematical Economics. SouthWestern College Pub, 2nd Edition, 2004.

Klein, M. Mathematical Methods for Economics. Addison Wesley, 2nd Edition.

Quandt, J. M.  Quandt R. E. Microeconomics theory: a mathematical approach. McGrawHill, 1971.

Sekerka, Bohuslav. Matematické metody v ekonomii. Praha, 1975.

Takayama, Akira. Mathematical economics. 2nd ed. Cambridge ; Cambridge University Press, 1985. ISBN 0521314984.

Vohra, Rakesh V. Advanced mathematical economics. London : Routledge, 2005. ISBN 0415700086.

Webb J. Game Theory. 2007.

Zimmermann, K. Úvod do matematické ekonomie. Praha Karolinum, 2002.
