QR-код документа
K12
Kabanikhin, E. I
Application of differential evolution algorithm for solving the Solow model withthe addition of human capital [Текст] / E.I Kabanikhin // Әл - Фараби ат. ҚҰУ Хабаршы = Вестник КазНУ им Аль - Фараби. - Алматы, 2018. - №2(98). - Р. 57-66. - (Математика, механика, информатика сериясы=Серия математика, механика, информатика. Journal of Mathematics, Mechanics, Computer Science.)
Рубрики: Математика
Кл.слова (ненормированные):
economical model -- inverse problems -- optimization -- differential evolution -- Solow model
Аннотация: This paper is devoted to a numerical study of defining of parameters of dynamical systems arisingin financial and economic problems. The importance of parameters that are difficult to measure isgreat, so defining them will help to make forecasts and a work plan for the future at the govern-mental level. An effective way to restore parameters is to solve the inverse problem. The methodof coefficient recovery using the algorithm of differential evolution, which was proposed by RainerStorn and Kenneth Price, is presented in this paper. On the example of solving the direct prob-lem of the mathematical model of neoclassical economic growth of Robert Solow and the resultsobtained, the inverse problem was solved and unknown parameters were determined. The Solowmodel is based on the Cobb-Douglas production function, taking into account labor, capital andexogenous neutral technical progress. Also, for further calculations, the economic model proposedby Mankiw-Romer-Weil based on the Solow model was considered, but with the addition of hu-man capital, where the number of variables and coefficients that need to be restored has alreadyincreasing. A direct problem was also solved, results were obtained that were applied in the algo-rithm of differential evolution for parameters recovery.
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ЗКГУ
Доп.точки доступа:
Bektemessov, M.A
Shishlenin, M.A
Yang Xin-She
Bektemessov, Zh.M
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