Revision of the possibilities of the models of equilibrium prices and outputs in the theory of intersectoral balance
Journal Title: Проблеми загальної енергетики - Year 2016, Vol 0, Issue 4
Abstract
Based on the performed analysis of numerous publications containing the models of equilibrium prices and outputs in the theory of intersectoral balance, we have proved that the use of transposed matrices of direct cost in such models is unreasonable and leads to serious mistakes. We have proposed correct systems of equations connecting equilibrium prices and outputs in the data structure “expenditure–output.” We have shown in the general form that such systems belong to the class of homogeneous systems of linear algebraic equations, and their matrices are singular and have ranks smaller by one than the matrix dimensions. It has been established that such systems give degenerate solutions. With the use of these properties, from the continual set of solutions of the refined models of equilibrium prices and outputs, we have isolated in the general form a class of their solutions that can be applied for determining practically acceptable values of these indices. We have proposed an algorithm of such determination that provides for the broadening of the structure of data “expenditure–output.” Our analytic investigations are illustrated by an example of the calculation of equilibrium prices and outputs based on the tables “expenditure–output” in Ukraine in 2012.
Authors and Affiliations
Myhajlo Kulyk
Keywords
Related Articles
- EP ID EP456564
- DOI 10.15407/pge2016.04.005
- Views 67
- Downloads 0
State regulation of greenhouse gases emissions in the world: prospects for Ukraine
Different approaches to the state regulation of greenhouse gases emissions that are used in the world are presented. The advantages and disadvantages of each approach in comparison with others are analyzed. The world ex...
Prospects of the operation of Ukrainian gas transportation system under the integration natural gas markets
The effective functioning of the gas transmission system (GTS) of Ukraine greatly depends on the processes that occur in the world natural gas markets. This article gives an analysis of the processes that led to the conc...
Analysis of the intermediate consumptions factors of input-output tables by the data of Ukrainian and EU statistical services
We give the description and results of work of the new software suite, which is used for preparing initial data for calculations with applying input-output models. The suite enables one to aggregate data from input-outpu...
Improvement of normative provisions for heat pumps as a mechanism for the implementation of European directives
We consider the currently in force European Directives 2009/28/EC, 2009/125/EC, 2010/30/EC, and 2010/31/EU, Regulations and other normative documents corresponding to them as well as international standards for heat pump...
Mathematical model of the optimal structure of coal production for thermal power plants of Ukraine with taking into account environmental constraints
The aim of this study is to develop a mathematical model of the delivery of coal production for TPP under conditions of possible import supply and own products with minimal financial expenditures at certain levels of the...