Various approaches to utility ( deterministic, stochastic, existece theorems
for utility functions, aggregation of preferences, Arrow's theorem);
consumer's behaviour (basic axioms,basic optimization problems, Slutski
equations , elasticities); theory of firm (production functions , basic
optimization problems, elasticities); dynamic supply-demand equilibrium
models (both discrete and continuous time, stability of euilibria);
ballance models (Leontjev , Linear programming, von Neuman); basic
information about price indices.
Last update: prof. Mgr. Milan Hladík, Ph.D. (27.02.2014)
Základní pojmy a metody matematické ekonomie, teorie užitku, teorie
preferenčních relací, poptávková funkce, produkční funkce, rovnováha
poptávky a nabídky, Leontjevovy modely, některé další lineární a
nelineární modely.
Course completion requirements - Czech
Last update: doc. Mgr. Jan Kynčl, Ph.D. (31.05.2019)
Ústní zkouška.
Literature - Czech
Last update: prof. RNDr. Karel Zimmermann, DrSc. (10.10.2017)
Černý M. a kol.: Axiomatická teorie užitku, SPN-Praha 1975
Fishburn,P.: Utility Theory for Decision Making, John Wiley 1970, rus. překlad z r. 1978
Henderson,J.M., Quandt,R.E.: Microeconomic Theory. A Mathematical Approach,McGraw Hill 1971
Nikaido,H.: Convex Structures and Economic Theory, Academic Press, New York-London 1968, rus. překlad z r. 1972, vydalo nakl. \"Mir\",Moskva
Chiang,A.C.: Fundamental Methods of Mathematical Economics, Mc Graw Hill 1984
Syllabus -
Last update: doc. Mgr. Jan Kynčl, Ph.D. (18.04.2018)
1 Axiomatic utility theory models.
2 Deterministic optimizatiom models using linear, convex and parametric programming, some approaches to non-convex optimization.
3 Multiple criteria optimization models, solutions of conflict situations.
4 Indeterministic optimization models (probabilistic, interval and fuzzy sets theory models).
