Capital-labor substitution and economic efficiency
TL;DR: In this article, the authors proposed a method to improve the quality of the service provided by the service provider by using the information of the user's interaction with the provider and the provider.
Abstract: Обсуждаются следующие темы: чистая теория производства, функциональное распределение дохода, технический прогресс, источники международных конкурентных преимуществ. Анализируются эластичность замещения между трудом и капиталом в обрабатывающей промышленности; производственные функции различного типа.
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TL;DR: This paper presents a general optimization algorithm using first-order torth order derivatives to find the optimum of anr-continuously differentiable function of many variables that collapses to the Newton-Raphson algorithm when only first- and second-order derivatives are used.
Abstract: This paper presents a general optimization algorithm using first-order torth order derivatives to find the optimum of anr-continuously differentiable function of many variables. This algorithm collapses to the Newton-Raphson algorithm when only first- and second-order derivatives are used. The computation of the required higher-order derivatives are readily available through thetable algorithm. The generalized CES production function is used as an example.
15 citations
15 citations
TL;DR: In this paper, the authors show that the elasticity of substitution between capital and labor is larger than one in developed countries but smaller in developing countries, and develop a production function which allows for this structure in the Elasticity of Substitution.
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...The CES function developed in Arrow et al. (1961) as a solution to the partial differential equation defining the constant elasticity of substitution σ = f ′(k)[f(k)− kf ′(k)] −kf ′′(k)f(k) takes the form f(k) = γ1[k σ−1 σ + γ2] σ σ−1 . k is defined as capital per efficiency unit of labor, k = KAL…...
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28 Oct 2011
15 citations
TL;DR: In this article, the optimal skill mix in a model with two kinds of imperfectly substitutable labor, skilled and unskilled, is analyzed, and the market and optimal rules are characterized and compared.
Abstract: In this paper, we analyze the optimal skill mix in a model with two kinds of imperfectly substitutable labor, skilled and unskilled. The population is characterized by a distribution of innate abilities, and individuals are trained according to optimal rules or market rules (with imperfect expectations); the length of each individual's training period depends upon his innate ability. The market and optimal rules are characterized and compared, and corrective policies are investigated. This model represents a major advance over earlier models, which are based on the following assumptions: (a) either unskilled and skilled labor are perfectly substitutable or training is a necessary condition for employment; (b) individuals are innately identical; (c) in most cases, training occurs either instantaneously or with fixed lag.
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TL;DR: In this article, the authors proposed a method to improve the performance of the system by using the information of the user's interaction with the system and the system itself, including the interaction between the two parties.
Abstract: В статье производится анализ агрегированной производственной функции, вводится аппарат, позволяющий различать движение вдоль такой функции от ее сдвигов. На основании сделанных в статье предположений делаются выводы о характере технического прогресса и технологических изменений. Существенное внимание уделяется вариантам применения концепции агрегированной производственной функции.
10,850 citations
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01 Jan 1956TL;DR: In this paper, a very brief treatment of three questions relating to the history of our economic growth since the Civil War is given, namely: (1) How large has been the net increase of aggregate output per capita, and to what extent has this increase been obtained as a result of greater labor or capital input on the one hand and of a rise in productivity on the other? (2) Is there evidence of retardation, or conceivably acceleration, in the growth of per capita output? (3) Have there been fluctuations in the rate of growth of output, apart
Abstract: Introduction This paper is a very brief treatment of three questions relating to the history of our economic growth since the Civil War: (1) How large has been the net increase of aggregate output per capita, and to what extent has this increase been obtained as a result of greater labor or capital input on the one hand and of a rise in productivity on the other? (2) Is there evidence of retardation, or conceivably acceleration, in the growth of per capita output? (3) Have there been fluctuations in the rate of growth of output, apart from the shortterm fluctuations of business cycles, and, if so, what is the significance of these swings? The answers to these three questions, to the extent that they can be given, represent, of course, only a tiny fraction of the historical experience relevant to the problems of growth. Even so, anyone acquainted with their complexity will realize that no one of them, much less all three, can be treated satisfactorily in a short space. I shall have to pronounce upon them somewhat arbitrarily. My ability to deal with them at all is a reflection of one of the more important, though one of the less obvious, of the many aspects of our growing wealth, namely, the accumulation of historical statistics in this country during the last generation. For the most part, the figures which I present or which underlie my qualitative statements are taken directly from tables of estimates of national product, labor force, productivity, and the like compiled by others.
1,031 citations
903 citations