Input cost, capacity utilization and substitution in the short run

This article studies the behavior of input cost shares in an environment where labor is costly to adjust, materials can be adjusted at no cost and capital is fixed. A model relating cost shares with relative prices and adjustment costs is proposed, allowing joint estimation of the elasticity of substitution and the adjustment cost function, which is an unknown function of the capacity utilization. Based on a panel of more than 700 manufacturing firms, we find evidence of strong input share variations according to the degree of capacity utilization. The estimated shapes of adjustment costs curves of labor are in agreement with our theoretical model, and we obtain sensible elasticities of substitution estimates. Based on such estimates, we find evidence of a negative (positive) bias in downturns (recoveries) in conventional productivity growth measures.     

Input substitution,economies of scale and productivity growth in the US upholstered furniture industry

Cost, factor demand and productivity growth are considered in the upholstered furniture industry over 1958–87. Factors are divided into labour, capital and materials. It is found that all inputs are substitutes in production although substitution elasticities are small. Factor demand is price-inelastic for all inputs. The industry operates around minimum average cost. Productivity growth is small but significant. The results indicate that labour will continue to be important in the industry. However, regional comparative advantage is not related to labour alone; the results suggest that policies to attract or retain the industry must consider the low degree of factor substitution.     

Input demand and substitution under target-return pricing the case of Austrian manufacturing

Zusammenfassung Das neoklassische Standardmodell der Produktion postuliert den kostenminimierenden, effizienten Einsatz von Inputs bei vorgegebener Nachfrage und bei Konkurrenzpreisen. Zahlreiche empirische Studien übertragen dieses Modell auf reale Märkte und schätzen Elastizitäten der Nachfrage und der Substitution auf dieser Basis. Die vorliegende Studie vergleicht dieses Konkurrenzmodell mit einem alternativen Ansatz, wonach sich die Preisbildung auf unvollkommenen Outputmärkten nach dem Prinzip des target-return pricing vollzieht. Es wird gezeigt, daß die geschätzten Elastizitäten sensitiv auf die Wahl des Modells reagieren. Die Substitutionsmöglichkeiten sind nach den Ergebnissen beschränkt, was auf die limitierte Effizienz einer preisinduzierten Inputnachfrage im Sinne des neoklassischen Ansatzes hinzuweisen scheint. Die Schätzung der Modelle wird anhand österreichischer Industriedaten 1964–1979 im Aggregat wie in sektoraler Klassifikation durchgeführt.

---

---

The research program was supported by the Austrian Fund for Scientific Research. The authors wish to thank Prof. Winckler and anonymous referees for helpful comments.     

Input substitution in manufacturing for three LDCs: translog estimates and policy implications

Demand and subsititution elasticities from a translog cost model are estimated for the manufacturing sectors of India, Pakistan, and Bangladesh. Conventional formulae for the standard errors of the estimated elasticities are checked by a bootstrap experiment, and their validity is confirmed for the moderate-sized samples of India and Pakistan. The elasticity estimates indicate a high degree of substitutability among capital, labour, and energy resources in manufacturing sectors of these countries. The result yields important policy implications for employment expansion through changing relative resource prices and the ability of these three economies to adjust to energy price shocks without serious impairment to economic growth.     

Separability and capital aggregation in sectoral models of US production

Separability plays a fundamental role in applied studies of production inasmuch as it provides for consistent aggregation and allows multi-stage estimation of models with many inputs. This paper examines whether two types of capital, structures and equipment, are weakly separable from labour and energy and materials in sectoral models of US production, and provides an assessment of the effects of maintaining capital separability. The study focuses on the elasticity of substitution as a measure of input association and associated standard errors and confidence intervals based on bootstrapping. Elasticity estimates and tests indicate that capital separability is generally inconsistent with data representing sectoral US production. Elasticity sign, however, appears robust to capital aggregation and performs especially well as an indicator of input association.     

A note on aggregation of CES-type production functions

In this note we shall be concerned with the aggregation of the constant elasticity of substitution (CES) type of production function. In particular we will derive the error made by using the arithmetic averages as they are usually published, rather than the theoretically required averages.     

A class of changing elasticity of substitution production functions

This paper presents a new class of production functions with a changing elasticity of substitution between two input factors. Over a freely chosen number of intervals for the input factor intensity freely chosen elasticities of substitution can be imposed. The resulting production function can thus account for changing elasticities of substitution during the development of the factor intensity. The production function is applied in a calibration exercise and a novel normalization procedure is proposed. The theory behind this production technology builds on the functional normalization of CES production functions.     

Intertemporal production and intertemporal substitution in output supply and input demand

This article presents an intertemporal model of production with multiple inputs to investigate substitution opportunities facing firms over time. The firm’s intertemporal profit maximization problem is characterized with the familiar cost function, and various intertemporal substitution elasticities are delineated for output supply and input demand. The absence of intertemporal substitution in production can imply production smoothing, and allowance for intertemporal substitution in labour demand reinforces the prediction of the real business cycle model. For aggregate US manufacturing, we find substantial substitution in output supply and labour demand over time due to intertemporal changes in output price and wage rates.     

Technical substitution of production factors through shadow pricing of factors

In underdeveloped countries, the market prices of factors do not reflect their economic opportunity cost, because of various market imperfections, state regulations, and population growth. Therefore, it is necessary that shadow prices of factors, instead of market prices of factors, should be used in the evaluation and selection of projects. Three alternative approaches to derive shadow prices have been outlined along with their shortcomings.     

General equilibrium models with Morishima elasticities of substitution in production

Analytical general equilibrium (AGE) models are important tools that economists use to answer questions about theory and policy. When a production function has three or more inputs, the traditional modeling technique employs Allen elasticities of substitution to represent general functional forms. This paper builds an analytical general equilibrium model using the Morishima elasticity of substitution (MES). Specifically, an existing model using Allen elasticities is reformulated to employ the MES and the new, closed-form solutions are interpreted with additional insights from the reformulation. Importantly, the special case of constant elasticity of substitution (CES) production follows directly when using Morishima elasticities, but not Allen elasticities. This paper also provides a general technique for switching from Allen to Morishima elasticities in any existing AGE model and demonstrates a one-to-one numerical equivalence regardless of the elasticity measure employed. Replicating prior results, plausible parameter values are applied to the reformulated model to analyze the source-side, distributional effects of a pollution tax and highlight how the Allen and Morishima elasticities differ.     

Currency substitution,inflation, and welfare

Currency substitution affects the mapping between social welfare and inflation by altering the underlying money demand function and influencing interest rates. In order to explore the essence of this effect, I build a model with working capital under which foreign currency is substituted with the less liquid components of domestic money. The framework closely mimics the actual pattern of currency substitution across varying rates of inflation and enables the study of an additional channel that works through the impact of currency substitution on interest rates. It is found that there is a threshold inflation rate, which turns out to be 44% under baseline calibration, below which currency substitution decreases welfare and vice versa. A practical implication is that, at inflation rates lower (greater) than the threshold, the potential welfare gains from disinflation to a near-zero inflation rate are higher (lower) if there is currency substitution than otherwise.     

On optimal control of income generating activities, and the value of flexible production design

The paper provides a closed form solution for the value of a firm which costlessly can change its mode of operation between two activities. The technology is such that production is zero from the inactive production line. In addition we assume that the production potential on any production line is idle when not operated, else the production follows a geometric Brownian motion. Although this framework is rather general, it is motivated by the problem to produce a natural resource located in two separate wells/ores, using a single (flexible) production unit. For what seems to be reasonable parameter values, the flexible unit is seen to achieve a surprisingly large value relative to the value achievable by a comprehensive unit, producing both alternatives simultaneously. In addition it is interesting to note that switching might occur even if the active production line gives the highest immediate income.     

The distribution approach to the aggregation of putty-clay production functions

The point of departure of the distribution approach is the efficiency distribution of the production units in an industry. From this distribution the full-capacity production function and the short-run aggregate production function of the industry are derived. The long-run production function of the industry then is derived from the full-capacity function and the short-run production function. Hence, in the context of the distribution approach the relation is analysed between the short-run, full-capacity and long-run aggregate production functions of the industry and the efficiency distribution (and related capacity distribution) of the production units in that industry. Finally, the distribution approach is applied for the case of the Japanese cotton spinning industry.     

Micro-foundation for a constant elasticity of substitution production function through mechanization

We consider an increase in the range of capital use as a form of mechanization. A constant elasticity of substitution (CES) production function is dynamically derived from Leontief production functions through the endogenous complementary relationship between capital accumulation and mechanization. This implies that a CES production function can be resolved into technological change that does not involve changes in total factor productivity. Furthermore, using the normalizing procedure of the CES production function developed by de La Grandville [de La Grandville, O., 1989. In quest of the Slutsky diamond. American Economic Review 79, 468–481], we investigate how mechanization is related to the elasticity of substitution in our endogenous growth model.     

Unemployment, wage bargaining and capital-labour substitution

Many economists believe that capital accumulation, technicalprogress and labour force expansion have no lasting effect onunemployment. This view rests on the empirically doubtful assumptionthat the elasticity of substitution between labour and capitalis equal to unity (i.e., production is Cobb-Douglas). Usinga simple model based on the work of Layard, Nickell and Jackman,this paper demonstrates that, with a lower elasticity of substitution,the equilibrium unemployment rate is affected by all of theabove factors. It considers briefly how capital accumulationmay be endogenised and what long-run implications this has forunemployment.     

Currency substitution, portfolio diversification, and money demand

Abstract .  We extend the Thomas (1985) dynamic optimizing model of money demand and currency substitution to the case in which the individual has restricted or no access to foreign currency denominated bonds. In this case currency substitution decisions and asset substitution decisions are not separable. The results obtained suggest that the significance of an expected exchange rate depreciation term in the demand for domestic money provides a valid test for the presence of currency substitution. Applying this approach to six Latin-American countries, we find evidence of currency substitution in Colombia, Dominican Republic, and Venezuela, but not in Brazil and Chile.     

Technological learning,technological substitution,and technological change

From a simple dynamic model of competition between product lines it is shown that the shape of learning curves has a powerful influence on the dynamics of technological substitution. Learning of both production efficiency and marketing efficiency is considered. It is asserted that both types of learning are important and that the two are complementary. It is further speculated that production learning is probably more important for commodities and in situations of low per capita income, whereas market learning gains ascendancy in cases of high income and specialized and diversified product lines. In closing, it is noted that simple competitive models are misleading, first because complementarities and coevolutionary processes are probably as important in the overall development of technology as are competitive processes, and second because optimization of the technological system's parts does not guarantee improvement of the performance of the system as a whole.     

A general equilibrium model of production with a random marginal rate of substitution

This paper examines the qualitative effects of risk aversion in a two-sector general equilibrium model where uncertainty is due to random production in one of the sectors. Technology is more general than used previously and provides for a random marginal rate of substitution. Also, the possibility that risk is decreasing in factor usage is considered. Results show that earlier qualitative conclusions on the effects of changing risk may be reversed under these cases.     

苏丹战后投资和承包工程市场

商机重现从1983年开始,苏丹内战风起云涌,宗教矛盾和种族纠纷愈演愈烈。在2004年,饱受战争之苦的苏丹人民终于看到了些许和平之光。在国际社会的努力之下,苏丹南北双方去年在肯尼亚城市尼法夏签订了和平安全框架协议,可望在近期签署最终和平协议。苏丹总统巴希尔如释重负地说:“和平的脚步真的离我们不再那么遥远了”。苏丹南北战争历时20年之久,以美国为首的一些西方国家对苏丹实行严厉的经济制裁,更是雪上加霜,把苏丹经济拖入了崩溃的深渊。现在,在苏丹几乎看不到完整的基础设施和建筑,机场、港口破烂不堪;达到等级的公路几乎没有;医院、…