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Necessary mathematical foundations for the further explanation of mathematical
models of microeconomics are surveyed ( theory of relations, foundations of
linear programming, linear differential and difference equations with constant
coefficients, some results concerning nonnegative matrices). The following
parts of microeconomics are then treated:
Foundations of utility theory with application to consumer' s behavior, Slucki
equation; theory of firm, Cobb-Douglas production function and their
generalizations, the simplest supply-demand equilibrium models both with
continuous and discrete time, foundations of the theory of price indices,
basic Leontjev models.
The lecture is completed with a practical exercise, in which numerical
examples are trained. Some more complicated proofs are omitted.
Last update: T_MUUK (31.01.2001)
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Ašmanov S.A.: Vvěděnije v matěmatičeskuju ekonomiku. Moskva, Nauka 1984
Černý M. a kol.: Axiomatická teorie užitku. SPN, Praha 1975
Fishburn P.: Utility Theory for Decision Making. John Wiley 1970, rus. překlad 1978
Henderson J.M., Quandt R.E.: Microeconomic Theory. A Mathematical Approach. Mc Graw Hill 1971
Nikaido : Convex Structures and Economic Theory. Academic Press, New York-London 1968, rus. překlad 1972
Chiang A.C.: Fundamental Methods of Mathematical Economics. McGraw Hill 1984 Last update: Zakouřil Pavel, RNDr., Ph.D. (05.08.2002)
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Theory of relations, foundations of linear programming, linear differential and difference equations with constant coefficients, some results concerning nonnegative matrices.
Foundations of utility theory with application to consumer' s behavior, Slucki equation; theory of firm, Cobb-Douglas production function and their generalizations, the simplest supply-demand equilibrium models. Last update: T_KPMS (14.05.2003)
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