Who provides the capital for Chinese growth: the public or the private sector?

We focus on the role of the government in the provision of investment in China, through the medium of a Dynamic Stochastic General Equilibrium model of the economy in which the form of the production function reflects this governmental role. Using indirect inference, we estimate and test for the elasticity of substitution between government and nongovernment capital in both Constant Elasticity of Substitution (CES) and Cobb–Douglas technologies. The results underscore the strong substitution relationship between government and nongovernment capital from 1949, supporting CES rather than the Cobb–Douglas technology. They also show that the orientation of public investment changed after the start of the ‘Socialist Market Economy’ in 1992: government capital became more complementary to nongovernment capital as it focused more on infrastructure and withdrew from industrial production, intervening only in times of crisis, for stabilization purposes, indirectly via the state banks.     

Avoiding Mis-estimation of the CES Function: Unit Matters

ABSTRACT

We demonstrate that unit errors of measurement will lead to significant biases in estimating the constant elasticity of substitution (CES) function. Monte-Carlo simulations show that estimation results tend to reach Cobb–Douglas (CD) functions or extreme values if units of input variables are incorrectly used. To avoid this problem, we suggest adding an overall efficiency parameter and a unit correction parameter which is similar to biased technological change parameter when estimating CES functions. Any unit error of measurement can be captured by these two parameters while allowing researchers to get unbiased estimation results of other parameters.     

A stochastic production function for machine repair

Although work by Levhari and Sheshinski (1970) and Syrquin (1972) suggests that general functional forms, such as the Cobb–Douglas and CES, accurately approximate a machine-repair stochastic production process, this paper shows that these authors have not adequately captured the stochastic nature of the production process. More importantly, while general forms are convenient and widely employed, this paper argues that there is a more direct method for determining the properties of the production process.     

NEW MICROFOUNDATIONS FOR THE AGGREGATE MATCHING FUNCTION*

Empirical studies of the aggregate labor market matching function have favored a Cobb–Douglas functional form, for which there are no microfoundations in the existing literature. I present a new model for the matching process, based on a “telephone‐line” Poisson queuing process, which, unlike other microeconomic approaches, can be integrated directly into standard theoretical search models. This implies a CES matching function, approximately Cobb–Douglas when search costs are approximately linear. The model allows empirical estimates of matching function parameters to be interpreted in terms of the costs and benefits of search.     

Comparative advantage and strategic specialization

This paper shows that a strong comparative advantage is necessary for free trade and specialization in a 2 × 2 symmetric Ricardian model to be achieved in a Nash equilibrium. Governments strategically control labor distribution across industries, and representative agents maximize Cobb–Douglas utilities. A Nash equilibrium with complete specialization is achieved if and only if relative productivity exceeds a key value of 3, which is considered a very large number based on previous empirical studies. This paper also introduces a two‐stage game where each government chooses labor distribution first and then tariffs. In this two‐stage game, complete specialization is never achieved for any relative productivity level. Finally, by generalizing the Cobb–Douglas model into constant elasticity of substitution (CES) preferences, I show that if immiserizing growth effects exist, complete specialization could not be achieved for any level of relative productivity.     

Economies of scale in the Australian tourism industry

The measurement of economies of scale in the tourism industry has not been done to this point, as tourism is not a specific industry according to international statistical standards. Among many industries related to tourism, four sectors (accommodation, transport, retail trade and recreational services) across six states and two territories from 1997 to 2007 are studied as they contribute nearly 70% of tourism output in Australia. By comparing regression results from the Cobb–Douglas (C–D) production function and the translog production function, we find that there is evidence of increasing returns in transport, retail trade and recreational services at the industry level. However, accommodation is characterized by constant returns to scale at the industry level. As accommodation is responsible for the biggest share of tourism output, this suggests that overall the tourism sector is not characterized by increasing returns. We also find that the degrees of returns to scale from the C–D and translog production functions are different and that the imposition of input share also influences the empirical results. Both of these factors stress the importance of model specification to the measurement of economies of scale.     

Economic structure and factor payments

There is a growing body of evidence that the labour payment share in national income varies across countries and over time, suggesting that the popular aggregate Cobb–Douglas production function may not capture income share dynamics. There remains conflicting evidence on the importance of natural resource rents among low income economies and on estimates of the rate of return to produced capital. This paper focuses on the structural differences among countries, confirming the importance of the agriculture sector in estimates of labour and land’s share of factor income based on 81 countries at diverse levels of economic development in the year 2005. I find that cross-country data are best modelled by a CES production function with an elasticity of substitution of 0.8 and that many low income countries have a higher return to capital than the United States.     

A two-factor learning model for private sector industrial firms

ABSTRACT

The Cobb–Douglas form of the two-factor learning curve model has been the conventional choice in empirical studies of the relative importance of R&D versus capacity expansion for cost reduction in energy technologies. Most empirical studies have focused on the role of public R&D in the context of renewable energy technologies. In this study, we provide a rationale for considering a different model formulation of the tradeoff between R&D and production capacity expansion when studying technology development in the private sector and we compare it to the conventional Cobb–Douglas model. We then apply our model formulation to a particular emerging technology case study.     

The two ways of FDI R&D spillovers: evidence from the French manufacturing industry

Using French firm-level panel data, this study investigates R&D spillovers from inward foreign direct investment (FDI) with respect to both horizontal and vertical linkages (backward and forward). Using a Crepon, Duguet and Mairesse (CDM) model, we estimate an R&D-augmented Cobb–Douglas production function to assess the impact of R&D spillovers on firm performance. The results emphasize that international spillovers (from foreign affiliates to local firms) have a greater effect on firm performance than reverse spillovers (from local firms to foreign affiliates) and are more likely to be backward than forward. Moreover, the effect of backward spillovers depends on a firm’s absorptive capacity and is amplified in the case of outsourcing relationships.     

Does the aggregate production function imply anything about the laws of production? A note on the Simon and Shaikh critiques

The aggregate production function (especially the Cobb–Douglas) is widely used in both applied and theoretical work, in spite of the large number of criticisms of it that have been advanced since its inception. Two related criticisms by Simon and Levy (1963) and Shaikh (1974) are particularly damaing since they have shown that if factor shares are stableanyunderlying technology will generate a Cobb–Douglas relationship. This argument seems to have been largely ignored in the literature or, by implication, not seen as particularly important. The purpose of this paper is to assess and extend these criticisms. New empirical evidence is presented which, it is argued, illustrates the former. Furthermore, it is shown that a Kaleckian mark-up model will equally give rise to a Cobb–Douglas even though, of course, no neoclassical assumptions are invoked. It is concluded that the Cobb–Douglasper se can give no independent corroboration of either the marginal productivity theory of distribution or the assumption of perfect competition.     

Heterogeneity of consumer preferences and trade patterns in a monopolistically competitive setting

The paper considers a two-sector two-country trade model of monopolistic competition featuring the heterogeneity of consumer preferences and incomes within and across countries. The incorporation of heterogeneity into a monopolistic competition setting is achieved by assuming a nested Cobb–Douglas and CES utility function exhibiting both country and sector-specific consumer tastes and expenditure shares on manufacturing and traditional goods. The key question analyzed in the paper is how consumer heterogeneity affects the home bias of trade in different countries. The key finding here is that the heterogeneity in tastes and incomes of consumers can provide a substantial influence on degree of home bias in trade but only in combination with high transportation costs.     

Costs,prices and profitablity in UK manufacturing

The 1984 input–output tables make it possible to estimate directly the cost structure of any industrial sector. The results of this calculation are presented for the non-food manufacturing sector for the period 1970–87. This cost estimate is found to be part of a co-integrating set with output prices, in contrast to the specification implied by a Cobb–Douglas production function. The other elements of the equilibrium vector are an index of capacity utilization, positively related to the mark-up, and the variance of inflation (proxying inflation uncertainty), which is negatively related. Import prices have an indirect effect on the mark-up, via demand.     

Agricultural Productivity and Poverty Reduction in Nepal

This paper provides for the first time a clear quantitative link between agricultural productivity and poverty among rural households in Nepal. Using data from a nationwide Nepal Living Standard Survey 2004, we first estimate household‐specific productivity per worker under both Cobb–Douglas and translog production functions. Second, the paper identifies the determinants of productivity. Third, we explore a theoretical link between productivity and poverty using Sen's poverty index and find empirically that productivity growth substantially helps poverty reduction. Finally, the integrated effects of changes in productivity determinants are found to be stronger than the outcomes of sectoral policies taken in isolation.     

The Immigration Policy Puzzle

This paper revisits the puzzle of immigration policy: standard economic theory predicts that free immigration improves natives' welfare, but (with few historical exceptions) an open door policy is never implemented in practice. What rationalizes the puzzle? We first review the model of immigration policy where the policy maker maximizes national income of natives net of the tax burden of immigration. We show that this model fails to provide realistic policy outcomes when the receiving region's technology is described by a standard Cobb–Douglas or CES function. Then we describe three extensions of this basic model that reconcile theory with evidence. The first introduces a cost of integration of the immigrant community in the destination country; the second takes into account the policy maker's redistributive concern across different social groups; the last extension considers positive spillover effects of (skilled) migrants on the receiving economy.     

FACTOR SUBSTITUTION,MECHANIZATION, AND ECONOMIC GROWTH

This paper tries to explain the polarization of economic growth through mechanization. We derive a complementary relationship between capital accumulation and mechanization. While we assume an external effect that occurs as a result of mechanization, given the external effect, mechanization yields a constant‐elasticity‐of‐substitution production function in which the elasticity‐of‐substitution is greater than unity as the envelope of Cobb–Douglas production functions. When mechanization is difficult, which implies a low value for the elasticity‐of‐substitution, and the external effect is weak, there is potential for multiple steady states to exist.     

Technical efficiency and ICT investment in Italian manufacturing firms

The importance of Information and Communication Technologies (ICTs) is a much debated question with extensive literature aimed at understanding the role of ICTs in increasing economic growth, firm productivity and firm efficiency. Different methods to estimate firm efficiency are used in this study. In particular, both the translog and the Cobb–Douglas production functions are used in order to estimate the impact of ICT on Technical Efficiency (TE) in Italian manufacturing firms over the period 1995 to 2003. Results show that ICT investments positively and significantly affected firms’ TE. Moreover, group, size and geographical position have a positive influence on TE. Finally, the results show that older firms are, on average, more efficient than newer ones.     

Production functions and distributions of unit factor productivities: Uncovering the link

We derive a reversible “endogenous technology choice transform,” according to which firm-level production functions and distributions of unit factor productivities are two sides of the same coin. The Cobb–Douglas function relates to Pareto distributions, and the CES to Weibull distributions.     

Taxation in General Equilibrium: an Introduction

This paper provides an introduction to some aspects of the role of taxes in a static general equilibrium framework. The standard diagrammatic framework is first used, in the case of fixed factor supplies, in order to examine selective commodity and factor taxes. A simple two-sector model, with Cobb–Douglas production functions and preferences, and allowing labour supplies to be endogenous, is then constructed. Several tax policies are examined using numerical examples.     

中国总量生产函数模型选择*——基于要素替代弹性与产出弹性视角的研究

总量生产函数是经济增长和宏观政策的研究基础,不同生产函数模型设定可能导致不同的研究结论。本文从生产函数模型中要素替代弹性和产出弹性的隐含假设出发,系统研究了中国总量生产函数模型选择。本文研究发现：中国要素替代弹性的上下限为［08,15］,且呈现向1收敛的趋势;时变弹性生产函数模型拓展Cobb Douglas生产函数为变参数形式,可以较好地刻画中国劳动收入份额变化;Cobb Douglas生产函数、标准化CES生产函数和时变弹性生产函数模型的生产率核算结果趋于一致。本文研究为中国总量生产函数模型选择提供了理论参考和实证支持。     

劳动力就业、固定资产投入与中国工业增长——基于柯布-道格拉斯生产函数的判断

对经济增长源泉进行判断是经济增长方式转型的前提。利用2009年中国分省区工业经济增长的数据,基于柯布-道格拉斯生产函数对工业增长的动力源进行判断,结果表明,中国经济增长主要依靠固定资本和劳动的投入,二者对经济增长的解释度为98%,说明我国的经济增长方式仍是外延式增长;同时,资本产出和劳动产出弹性之和为1·2,说明中国工业增长具有规模报酬递增的性质。因此,通过规模扩大促进经济增长仍应为当前经济增长方式之一,但更重要的是,在经济增长中要重视劳动的产出弹性增加,即人力资本是经济转型和增长的未来持续动力源。