Intertemporal substitution in consumption, labor supply elasticity and sunspot fluctuations in continuous-time models

The aim of this paper is to discuss the roles of the elasticity of intertemporal substitution in consumption and the elasticity of the labor supply on the local determinacy properties of the steady state in a two-sector economy with constant elasticity of substitution technologies and sector-specific externalities. Our main results provide necessary and sufficient conditions for local indeterminacy. First, we show that the consumption good sector needs to be capital intensive at the private level and labor intensive at the social level. Second, we prove that under this capital intensity configuration, the existence of sunspot fluctuations is obtained if and only if the elasticity of intertemporal substitution in consumption is large enough but the elasticity of the labor supply is low enough. In particular, we will show on the one hand that when the labor supply is infinitely elastic, the steady state is always saddle-point stable, and on the other hand that when the elasticity of intertemporal substitution in consumption is infinite, labor does not have any influence on the local stability properties of the equilibrium path.     

On the stabilizing virtues of imperfect competition

We analyze the stabilizing role of imperfect competition on fluctuations as a result of indeterminacy and endogenous cycles. In this paper, imperfect competition is a source of monopoly profits, because of producer market power. Considering an overlapping generations model with capital accumulation and elastic labor supply, we show that under imperfect competition, the emergence of endogenous fluctuations requires a weaker substitution between production factors than under perfect competition. In this sense, imperfect competition stabilizes fluctuations. However, we find an opposite conclusion concerning the elasticity of labor supply. Indeed, endogenous fluctuations are compatible with a less elastic labor supply under imperfect competition.     

The increasing returns to scale CES production function and the law of diminishing marginal returns

This article analyzes the constant elasticity of substitution (CES) production function when there are increasing returns to scale and the elasticity of substitution exceeds 1, which I refer to as the explosive case of the CES. For this explosive case of the CES, the article demonstrates a new and surprising result: marginal and average products of labor and capital approach infinity as either labor or capital approach infinity. Obviously, in this explosive case of the CES, the law of diminishing marginal returns is eventually violated in a dramatic way. Some implications of this result for growth theory are discussed. The article concludes by deriving, for this explosive case of the CES, lower and upper bounds for the capital labor ratio which are consistent with the law of diminishing marginal returns.     

资本深化、结构变迁及劳动收入份额变动

本文通过构建一个具有要素密集度差异的两部门模型,分析了部门间TPP增长率差异、物质资本积累、恩格尔效应、以及部门进入壁垒变化对产业结构和劳动收入份额的影响.在资本深化且劳动密集型产品为优先需求的前提下,恩格尔效应将会导致劳动收入份额下降,并且这种效应渐近地趋于零;其次,部门TFP增长率差异、物质资本积累、产业壁垒变化对...     

知识关联、劳动者迁移与城镇化格局——基于新经济地理视角的理论分析与数值模拟

文章基于BerliantFujita知识创新与扩散模型,扩展构建了2×3×3的空间动态均衡模型,对知识关联、劳动者迁移与城镇化格局之间的关系进行了理论分析和数值模拟。结果表明:在知识资本自由流动和劳动者自由迁移的情况下,城乡空间格局演化的内生动力来源于知识资本的收益率差异、劳动者的福利水平差距及其循环积累因果作用,最终可能演变成为两种均衡且稳定的"核心—边缘"型城镇化格局,这种均衡格局差异取决于城乡贸易自由度以及由现代产品支出份额、现代产品替代弹性、技能劳动者份额决定的临界值。     

The effects of globalization and technology on the elasticity of substitution

The elasticity of substitution between capital and labor (\(\sigma\)) is usually considered a “deep parameter”. This paper shows, in contrast, that \(\sigma\) is affected by both globalization and technology, and that different intensities in these drivers have different consequences for the OECD and the non-OECD economies. In the OECD, we find that the elasticity of substitution between capital and labor is below unity; that it increases along with the degree of globalization; but it decreases with the level of technology. Although results for the non-OECD area are more heterogeneous, we find that technology enhances the substitutability between capital and labor. We also find evidence of a non-significant impact of the capital-output ratio on the labor share irrespective of the degree of globalization (which would be consistent with an average aggregate Cobb–Douglas technology). Given the relevance of \(\sigma\) for economic growth and the functional distribution of income, the intertwined linkage among globalization, technology and the elasticity of substitution should be taken into account in any policy makers’ objective function.     

Do Multinational Enterprises Relocate Employment to Low-Wage Regions? Evidence from European Multinationals

This paper analyzes the employment behavior of home multinational enterprises (MNEs) in Europe. To this end we use a unique firm-level panel data set of more than 1,000 European multinational parent enterprises and their European affiliates. We find for parent firms operating in the manufacturing sector that the labor cost elasticity of parent employment with respect to North EU affiliates’ labor costs is positive and statistically significant. This implies employment substitution between parents and their North EU based affiliates takes place in response to wage cost differentials between the parent and its North EU based affiliates. In contrast, we find no evidence for such substitution effects between parent employment and its affiliates that are located in low-wage regions in the EU and in Central and Eastern Europe. JEL no. F23, J23     

Structural Changes in the Demand for Labor

This paper investigates why labor demand has shifted away from low-skilled toward high-skilled labor in The Netherlands. We focus on the role of changes in relative wages and technological progress. A flexible functional form, proposed by Diewert and Wales, the Symmetric Generalized McFadden cost function, is estimated for the exposed and sheltered sectors. The estimates are based on time-series data for the period 1972–1993, which recently became available. Labor-saving technological change explains most of the displacement of low-skilled workers. The computed elasticities suggest that substitution between labor as a whole and capital is small. However, substitution plays a modest role in the shift from low-skilled toward high-skilled labor, especially in the sheltered sector. Skill-capital complementarity seems relevant in both sectors.     

A new class of production functions and an argument against purely labor‐augmenting technical change

This paper derives the macro‐level production function from idea‐based microfoundations. Labor‐augmenting and capital‐augmenting developments are assumed to be Pareto‐distributed and mutually dependent. Using the Clayton copula family to capture this dependence, a new “Clayton–Pareto” class of production functions is derived that nests both the Cobb–Douglas and the constant elasticity of substitution. In the most general case, technical change is not purely labor‐augmenting over the long run, but it augments both capital and labor. Under certain parametrizations, the derived elasticity of substitution between capital and labor exceeds unity and, therefore, gives rise to long‐run endogenous growth.     

要素禀赋、比较优势及其收入份额的关联度

工业化进程中,我国的技术进步呈资本偏向型,在劳动力缺乏弹性的基础上,伴随着技术的提升,资本替代劳动力的趋势不断增强,资本-劳动比率呈上升趋势,这一发展路径带来的结果,一端是低劳动力成本条件下的资本深化,资本收入份额增加,另一端是技术的选择不断偏向资本替代劳动的路径,劳动收入份额下降。其解决路径有:加强企业的自主创新、减少对技术引进的依赖;在注重技术创新的同时,注重技术进步的效率;发展劳动偏向型的技术进步,继续保持劳动密集型行业的比较优势。     

基于GVES生产函数资本劳动弹性分析

在已有生产函数基础上,依据要素边际弹性和替代弹性的特点,将VES模型扩展为GVES模型。用数学的方法分析了GVES模型的理论性质。然后用GVES模型建立计量模型实证分析资本和劳动弹性问题。结果表明GVES模型具有较好的理论性质和较强的实际应用价值。     

Endogenous business cycles and dynamic inefficiency

This paper explores how the occurrence of local indeterminacy and endogenous business cycles relates to dynamic inefficiency, as defined by Malinvaud (1953), Phelps (1965) and Cass (1972). We follow Reichlin (1986) and Grandmont (1993) by considering a two-period overlapping generations model of capital accumulation with labor–leisure choice into the first-period of an agent's life and consumption in both periods. We first show that local indeterminacy and Hopf bifurcation are necessarily associated with a capital–labor ratio that is, at steady state, larger than the Golden Rule level. Consequently, paths converging asymptotically towards the steady state are shown to be dynamically inefficient, as there always exists another trajectory that starts with the same initial conditions and produces more aggregate consumption at all future dates. More surprising, however, is our main result showing that stable orbits, generated around a dynamically inefficient steady state through a supercritical Hopf bifurcation, may, in contrast, be dynamically efficient.     

Endogenous fertility cycles and childcare services

We construct a two-sector overlapping generation model with endogenous fertility, where one sector produces goods and the other produces childcare services. The elasticity of fertility-related expenditures on services is crucial for determining labor participation and whether fertility converges to a steady state with monotone or oscillation. If capital intensity in the goods sector is greater than the products of elasticity and capital intensity in the service sector, then capital per capita and fertility converge to a steady state monotonically. Conversely, they converge to a steady state with oscillations, otherwise. We find an inverse J-shaped relationship between fertility and elasticity.     

中部工业的要素产出弹性、替代弹性的实证研究——基于超越对数生产函数的面板模型的估计

在考虑生产函数的区域异质性、时期异质性、产业异质性的基础上,构建了一个包含资本、劳动、技术三种要素投入的超越对数生产函数模型。结果表明:资本和劳动的边际生产率具有递减特征,且资本和劳动具有互补性,而技术的边际生产率具有递增特征。资本和劳动的替代弹性具有缓慢下降的趋势,且数值大小小于1。技术进步差异水平在不断缩小,且技术进步为资本增强型技术进步和劳动偏向性技术进步。     

International labor-cum-capital migrations: Theory,welfare implications,and evidence

Although capital is often portrayed as being more internationally mobile than labor, the theory of labor migrations typically ignores capital flows. Economic historians provide long-term evidence suggesting close linkages between capital and labor movements for high labor immigration/emigration economies. Analyzing this linkage shows that labor-cum-capital migrations have distinctive economic effects compared to labor migrations alone. These distinctive effects impact on international economic economic convergence. GNP per head is invariably a poor indicator of development trends when labor (with or without capital) migrates.     

Golden Rules of Wages

We consider a neoclassical growth model where labor collectively chooses labor share to maximize its steady‐state wage rate. In the basic two‐factor model, labor maximizes the steady‐state wage rate by setting labor share equal to the elasticity of output with respect to labor. This is precisely the competitive outcome. Only when we consider the model with organized and unorganized labor types can organized labor raise its steady‐state wage by choosing a higher than competitive labor share. Organized labor can benefit by choosing a higher labor share only at the expense of unorganized workers; not capital. We also analyze a version of the model that incorporates a tradeoff between collective bargaining opportunities and skill acquisition. All else equal, a higher skill premium leads organized labor to choose a higher labor share. Organized labor benefits again at the expense of skilled workers; not capital.     

The determinants of capital intensity in Japan and the US

We estimate the determinants of capital intensity in Japan and the US, characterized by striking different paths. We augment an otherwise standard Constant Elasticity of Substitution (CES) model with demand-side considerations, which we find especially relevant in the US. In this augmented setting, the elasticity of substitution between capital and labor is placed between 0.74 and 0.90 in Japan, and around 0.30 in the US. We also find evidence of biased technical change, which is capital-saving in Japan but labor-saving in the US. These differences help us explain the diverse experience in the capital deepening process of these economies, and lead us to conclude that demand-side drivers, quite relevant in the US, may also be relevant to account for different growth experiences. A close look at the nature of technological change is also needed before designing one-size-fits-all industrial, economic growth, and/or labor market policies.     

Devaluation, Capital Formation, and the Current Account

This paper re-examines the effects of devaluation and a rise in the rate of devaluation on capital formation and the current account in an optimizing monetary model of a small open economy with endogenous labor, investment with adjustment costs, and perfect capital mobility. It is shown that devaluation leads to capital accumulation and a current-account deficit in the long run and during the adjustment process, whereas a rise in the rate of devaluation has an ambiguous impact on capital formation and the current account depending on the relationship between consumption and real balances in the utility function. If consumption and real balances are separable or complements, then a rise in the rate of devaluation produces capital decumulation and a current-account surplus in the long run as well as on the transition path. These results stand in sharp contrast with Calvo (1981). JEL Classification Numbers: F41     

Monopsony in the Labor Market,Minimum Wages and the Time Horizon: Some Unresolved Issues

This article discusses development of optimal solutions for monopsony in the labour market for the long run (when labour and capital are both flexible). It is shown that binding minimum wages up to a certain degree pushes the monopsonists to choose a high capital intensity of production, just as high as or even higher than that chosen when there is no regulation for minimum wages. Thereby, we demonstrate the existence of re-switching effects in the tradition of Piero Sraffa. The second part of the paper recalculates and analyzes earlier results by making use of the rather general constant elasticity of substitution production function. Based on a numerical solution for optimal monopsony under different regimes (no minimum wage, minimum wages of different values, etc.), we formulate a two-period game between the government and the monopsonistic firm (‘minimum wage game’). Finally, we analyze the relationship between the elasticity of substitution on the one hand and likely levels of employment on the other hand, after introduction of minimum wages.     

On the heterogeneous short‐term effects of minimum wages on labor demand

A strand of the literature documents no effects or even positive effects of a higher minimum wage on employment. This evidence is frequently linked to the existence of monopsonistic labor markets or search frictions. However, empirical studies show that these findings could be related to a low short‐term minimum wage–employment elasticity in a competitive labor market. We show that mixed theoretical employment effects of a minimum wage policy can be predicted in the short term in assignment economies with price‐taker agents and no search frictions.