Production and costs in the South African motor vehicle industry

This study investigates the existence of economies of scale in the South African motor vehicle industry as well as the substitution possibilities between input pairs and the direct and cross-price elasticities of demand for the various inputs. Because of data limitations, a translog cost function was estimated for only a three input model corresponding to a homogeneous production function involving capital, labour and intermediate goods. The issue of the existence of economies of scale in the South African motor vehicle industry is a particularly important one because South Africa once again is a member of GATT and a full participant in the international trade arena. The null hypothesis of constant returns to scale was rejected at the 0.5% level of significance. Thus, the results of this model are certainly consistent with economies of scale in the South African motor vehicle industry. The estimated direct price elasticities were consistent with the hypothesis that, during the past two decades, capital was the productive factor with the most elastic demand, and the estimated cross-elasticities between input pairs generally supported the hypothesis that all inputs are substitutes.     

The Italian Automotive Industry and Economies of Scale

This article investigates scale economies in the Italian automobile industry as well as substitution possibilities between inputs and direct and cross-price elasticities of factor demand, utilizing a cost function with capital, labor, domestic, and imported intermediate goods inputs. Continuing European integration makes economies of scale an important issue. The study results are consistent with economies of scale in the Italian motor vehicle industry, a particularly interesting finding because the Italian automotive industry consists primarily of one firm, Fiat. The estimated direct price elasticities suggest that capital is most responsive to own price changes, and estimated cross elasticities imply that all inputs are substitutes. (JEL D 2, L 6, O 1)     

Labour substitution and complementarity among age–sex groups

We measure substitution in production for major age-sex groups in ten industries. These estimates are important for productivity studies, for modelling derives demand for labour and for formulating policies that deal with anticipated trends in the age-sex composition of the labour force. We use Sato's two-level CES production to estimate Hicks partial factor price elasticities, with quarterly time-series taken from the Social Security Continuous Work History Sample (1958 to 1975). Own elasticities are generally small and negative but vary considerably across industries. Cross elasticities show complementarity among most groups, except for younger and older females, who are subtitutes.     

Dynamic factor demands and adjustment costs: An analysis of bell Canada's Technology

In this paper a dynamic model of production is estimated for Bell Canada. The dynamics arise from the costs of adjustment associated with capital expansion. Estimation results showed that there are significant adjustment costs. Thus, the hypothesis of long-run cost minimization is rejected. As Bell Canada increases its capital stock by $1, there are additional adjustment costs of $0.36. This result implies that Bell Canada minimizes the present value of production and adjustment costs which results in a short-run equilibrium position. Price, substitution and output elasticities are estimated. In the short-run the inputs are substitutes and the price effects are highly inelastic. Overshooting occurs with respect to labour and material demands in the short-run since the demand for capital responds very little to output expansion. Returns to scale are also estimated in this cost of adjustment model. Bell Canada exhibits increasing returns to scale initially and then decreasing returns such that on average there are constant returns to scale with a scale elasticity of 1.08.     

European Integration and Production in the French Economy

Effects of greater European integration on the French economy are explored with an aggregate cost function. Input direct price elasticities are inelastic, but greatest (absolute value) for capital and lowest for imports. Cross-price elasticities suggest inputs are substitutes and are higher for domestic inputs than domestic input and imports pairs. As trade restrictions fall, effects on domestic input demand may increase as substitution elasticities rise. Inverse output supply price elasticities indicate domestic input prices are relatively important factors affecting consumption goods prices and import prices more important for investment goods. Thus, import price decreases may stimulate investment and growth. (JEL F14 , O10 , O12 )     

Policy reform and labour demand in branches of Sri Lankan manufacturing industry

Many policy reforms in developing countries aim to remove factor market distortions. Whether such reforms reduce unemployment depends partly on the substitution possibilities between labour and other factors of production. This paper examines labour demand in seven branches of Sri Lankan manufacturing industry, using data on 4-digit industrial categories over the 1990 to 1997 period. The Box–Cox transformation is used to allow for flexible, and data-dependent, elasticities. The elasticity of capital–labour substitution varies widely across the branches of industry and is usually variable rather than constant. The average, long-run own-wage elasticity of labour demand for the manufacturing sector is estimated as ?0.80, so factor price policy should have an important effect on labour demand in this setting.     

The CES‐‐Translog Production Function, Returns to Scale and AES

The translog functional form imposes no a priori restrictions on the substitution possibilities between the factor inputs, by relaxing the assumption of strong separability, and the CES–translog cost function specification allows for testing homothetic technology with Hicks‐neutral technical change. In this paper an n ‐factor CES–translog production function is presented which develops the parameters to directly assess scale effects from those due to technology in the production structure. In addition, by applying Shephard's lemma it was possible to derive the input demand functions, as well as the partial elasticities of substitution and the cross‐partial price elasticities of demand for a generalized CES–translog production structure.     

International outsourcing and the demand for skills

This paper explores the impact of international outsourcing on the demand for skills in three small and open EU economies. A model of variable costs and factor demand functions for different skill levels and imported as well as domestic materials are constructed. International outsourcing is treated directly as a substitution process between labour of different skills and imported inputs. The direct consequence of international outsourcing for labour is measured by the cross price elasticities. These cross price elasticities indicate a negative outsourcing impact on low- and medium-skilled labour in the three countries and on high-skilled labour in two out of the three countries. This outsourcing effect on labour is compared with the direct effect of embodied technical change and of the technical change bias. International outsourcing has a more unambigous and significant negative impact on labour than technical change. Technical change is either labour using (embodied technical change) or only slightly biased in favour of high-skilled labour. When the cost savings effect of international outsourcing is taken into account, an indirect positive stimulus for all skill categories arises from a greater demand for goods. It can be shown, that this indirect positive effect can compensate for a large part of the negative substitution impact of international outsourcing on labour.     

Factor analysis of demand growth for information technology input in Japan

The purpose of this article is to decompose demand changes for factor input and explore the factor that information technology (IT) capital stock has largely increased in Japan. The Allen partial elasticities of substitution are calculated and the variations in factor input demand are broken down into two effects—price effect and output effect, using industry-level data. From an estimation of the total cost function, the following conclusions are presented. While IT capital stock and ordinary capital stock are complementary, IT serves as a substitute for labor. The factors influencing the high growth rate in IT capital stock are the decrease in the prices of IT and ordinary capital services, and the increase in the labor price, in addition to the output effect. On the other hand, labor demand declines due to both the downward rigidity of wages and the decrease in prices of two kinds of capital services.     

美国需求端产业结构的变化及对中国的启示

对产业结构演化的研究都是从供给端计算的产业结构,本文构造了从需求端计算的产业结构并依此对美国需求端产业结构的演化进行了实证分析。研究表明,当年价所计算的美国需求端三次产业结构的变化小于供给端产业结构的变化;1970年以来美国第二产业的变化差异中近40%可以用外贸因素来解释。进而本文采取不变价计算了美国产业结构的变化,研究表明,自1970年以来按不变价计算的美国需求端的产业结构变化很小,且美国第三产业比例提升中有31%可以用不同产业价格因素变化来解释,44%可以用国际贸易来解释,仅有25%可以用第三产业收入弹性的变化来解释,因而收入弹性不是美国第三产业比例提升的重要原因。美国能够维持经常账户的逆差,将第三产业作为动力产业的根本原因在于美元的霸权地位。相比较而言,中国一直以来处于国际收支“双顺差”的状态,中国的具体国情和国家实力均无法满足大规模输出人民币使之成为其他国家储备货币的条件。     

Elasticities of substitution between energy and non-energy inputs in China power sector

Energy substitution is considered as a key process to determine the economic outcome of decisions related to energy and environment policies. The sign and magnitude of energy substitution have been widely debated, and the results are divergent. This paper applies the translog cost function specification to estimate factor share equations based on the energy and non-energy inputs, whose coefficients are used to observe the energy degree of substitutability with the other traditional inputs for power industry in China. The results suggest that energy is the least price sensitive among three production factors. The four types of input elasticities (cross-price, Morishima's, Allen and McFadden's shadow elasticity of substitution) show that there are substantial substitution possibilities between energy and capital, while energy and labor have weak substitution. The findings imply that for power industry in China, to reduce energy consumption, more capital should be invested. With respect to labor, though, it appears less energy-saving potential.     

The effects of U.S. shocks on Canadian total factor productivity growth: The case of the electrical products industry

This paper examines the influence on domestic total factor productivity of foreign income and price variations. The underlying model is a temporary equilibrium model of a pricediscriminating monopolist, who faces two markets with different demand elasticities, a fixed capital stock and economies of scale. A reduced form decomposition of total factor productivity growth is derived. The model is estimated on the data of the Canadian electrical products industry from 1962 to 1981. The results indicate that foreign variables played only a minor role in the growth of total factor productivity but were partly responsible for its post 1973 recorded slowdown. The U.S. industry price rise retarded considerably the Canadian total factor productivity growth in the electrical products industry.     

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.     

A short and intuitive proof of Marshall's Rule

Summary. When the price of an input factor to a production process increases, then the optimal output level declines and the input is substituted by other factors. Marshall's rule is a formula that determines the own-price elasticity for one factor as a weighted sum of the elasticities of output market demand and factor substitution. This note offers a proof for Marshall's rule that is significantly shorter and somewhat more intuitive than existing derivations. Received: February 19, 2001; revised version: April 3, 2002 RID="*" ID="*" I thank Charalambos Aliprantis, John Moore, Patrick Schmitz, and the anonymous referee for helpful suggestions. Support by the German Academic Exchange Service is gratefully acknowledged.     

The Spanish automotive industry: scale economies and input relationships

This paper investigates the existence of economies of scale in the Spanish automobile industry as well as the substitution possibilities between input pairs and the direct and cross price elasticities of demand for the various inputs by estimating a translog cost function for both a three input model involving capital, labour, and intermediate goods as well as a four input model where energy is separated from other intermediate goods. The results of this study are consistent with the hypothesis of economies of scale in the Spanish automobile industry, particularly at the low and mean levels of output. These results also are consistent with the hypothesis that capital is a substitute for the other inputs, but that labour and intermediate goods are complements. Labour and energy also appear to have a complementary relationship over most of the data points in this study. The significance of a complementary relationship between labour and intermediate goods is that any attempt by the Spanish government to restrict imports of these inputs, resulting in higher domestic prices for them, may aggravate an already serious domestic unemployment problem.     

The competitive nature of the nursing home industry: price mark ups and demand elasticities

Nursing home markets are likely to deviate from a competitive structure because of limitations on entry imposed by Certificate of Need (CON) regulations and the potential for product differentiation along such attributes as location, religious affiliation and quality. This paper investigates the structure of nursing home markets in New York State by calculating price mark ups and residual private pay demand elasticities. It shows that the residual demand elasticity is bound by estimates based on price mark ups above marginal costs and above Medicaid rates. This approach allows estimation of demand elasticities in all markets, whether or not CON regulations constrain bed supply. Mean price elasticities (in absolute value) calculated for nursing homes in New York State in 1991 ranged from 3.46 to 3.85.     

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.     

Are sports teams multiproduct firms?

The appropriate conception of team outputs is investigated by estimating a two-output factor demand system for baseball teams, relative to which single-output models are rejected. This finding is robust to alternative approaches to testing and model choice. The factor demands are those of the symmetric generalized McFadden cost function, which has several advantages in this context. The team factor inputs are the skill characteristics of players, the prices of which are obtained hedonically. In addition to investigating one- versus two-output models, the estimation results are used to obtain demand and substitution elasticities, factor input elasticities with respect to output, cost elasticities, and measures of economies of scale and scope. Although the results support a multiproduct conception of team production, output separability is not rejected, suggesting that team outputs may sometimes be adequately treated as a production aggregate.     

Differing factor adjustment costs across industries: Evidence from Japan

This study uses industry data from Japan to examine the joint behavior of investment and hiring. We estimate factor adjustment costs in industries and focus on the industrial differences in such costs. Our analysis reveals that heavy industries, such as steel and transportation equipment, require relatively large adjustment costs. Furthermore, comparing our results with studies that estimate these adjustment costs using US data, we find that the ratio of labor adjustment costs to total adjustment costs is higher in Japan than in the US. Our findings could be very useful in considering the implications of economic policies on factor adjustments.     

The changing structure of cost and demand for the U.S. telecommunications industry

This paper formulates a multiproduct structural model to examine the evolution of the structures of production and demand and their dynamic interaction, over an extended period, 1935–1987, in the U.S. telecommunications industry. We estimate the degree of scale economies, cost elasticities, input price elasticities and the determinants of demand for outputs and for various factors of production. The contributions of the quasi-fixed inputs, such as R&D and physical capital, in the evolution of this industry are evaluated. A number of important issues like the changing characteristics of demand for and cost of local and toll services and the variation of price–cost margin over time are examined under different economic conditions, market structures and regulatory environments. We also analyze the effects of the 1984 divestiture of the Bell System on the cost structure, employment and capital formation of the U.S. telecommunications industry.