Title: Stacionární růst v optimalizačním Leontěvově dynamickém modelu
Other Titles: Steady state growth in Leontief dynamic optimization model
Authors: Kodera, Jan
Tran, Van Quang
Vošvrda, Miloslav
Citation: Trendy v podnikání = Business trends : vědecký časopis Fakulty ekonomické ZČU v Plzni. 2018, roč. 8, č. 3, s. 24-31.
Issue Date: 2018
Publisher: Západočeská univerzita v Plzni
Document type: článek
URI: http://hdl.handle.net/11025/31038
ISSN: 1805-0603
Keywords: Leontěvovův dynamický model;analýza vstupů a výstupů;optimalizace;růst v ustáleném stavu;empirická studie
Keywords in different language: dynamic Leontief model;input output analysis;optimization;steady state growth;empirical study
Abstract in different language: Leontief model has been a significant contribution to the economic theory for more than a half of century. Since its inception the model was intensively developed in 1960s and 1970s. Among others there has been a great effort to dynamize it, to which Polish economist Lange was one of the most known contributors with his work on the theory of reproduction and accumulation (Lange, 1966). The paper investigates the existence and properties of stationary growth in the Leontief dynamic optimization model, in which the optimization criterion is a specific utility function. In the model, we focused on the determination of stationary growth. We also set conditions for determining the steady growth rate and for calculating the initial trajectory value, which must be met for their existence. In the last section of the article, we focused on numerical computations. For this purpose we use the input output table for the Czech economy in 2013 which is aggregated in to 19 sectors according to NACE standard. The results depend on the shape of the utility function, which is affected by the values of the discount coefficient and the elasticity parameter. The article can be served as the basis for analyzing the relationship between the two parameters of the utility function, which are very important for the existence as well as for the economic acceptability of the solution. The results we obtain show the dynamized version of Leontief model can be used to solve the structural and endogenous growth problem as well as to determine its stationary trajectories.
Rights: © Západočeská univerzita v Plzni
Appears in Collections:Číslo 3 (2018)
Číslo 3 (2018)

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