Syllabus
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). 5 Equilibrium models (supply-demand equilibrium, industrial branches equilibrium).
Basic theoretical knowledge of mathematical analysis and linear algebra is assumed.
Annotation
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.