Indeterminacy with small externalities: The role of non-separable preferences

In this paper we consider a Ramsey one-sector model with non-separable homothetic preferences, endogenous labor and productive external effects arising from average levels of capital and labor. We show that indeterminacy cannot arise when there are only capital externalities but that it does occur when there are only labor external effects. We prove that sunspot fluctuations are fully consistent with small market imperfections and realistic calibrations for the elasticity of capital–labor substitution (including the Cobb-Douglas specification) provided the elasticity of intertemporal substitution in consumption and the elasticity of labor supply are large enough.     

Multiple equilibria in a cash-in-advance two-sector economy

We consider a two-sector infinite horizon economy with a fractional cash-in-advance constraint on consumption expenditures. This formulation allows us to consider a steady-state velocity of money that is strictly greater than one and, therefore, provides a more plausible framework than the standard formulation in which all the consumption purchases are paid cash. We prove that the steady state is bound to be indeterminate and multiple equilibria occur when the share of the liquidity constraint is low enough and that a capital-intensive investment good or a strongly capital-intensive consumption good improve considerably the scope for indeterminacy. As a consequence, we show that without any restriction on the elasticity of intertemporal substitution in consumption, multiple equilibria might occur if the velocity of money is greater than a critical bound that is compatible with empirical estimates.     

Does international knowledge spillover always lead to a positive trickle down?

This paper demonstrates the negative effects of positive international knowledge spillovers on economic growth. In other words, we obtain the possibility that educational investment for human capital is crowded out under global economic growth. To this end, we assume the phenomenon of international knowledge spillover, effects of population growth on human capital accumulation, and non-unity intertemporal elasticity of substitution in an endogenous growth model along the lines developed by Arnold. This model comprises R&D activities along the lines proposed by Jones and human capital accumulation along the lines proposed by Uzawa and Lucas. The results show that even if international spillover increases, low-growth traps without human capital investment emerge in some cases, for example, an economy with a large intertemporal elasticity of substitution and a high population growth rate.     

Consumption externalities,market imperfections and optimal taxation

In a dynamic model with a keeping‐up‐with‐the Joneses preference and market imperfections, we attempt to investigate under what circumstances and for what reason the optimal tax should be state‐varying. We extend the Ljungqvist and Uhlig (2000) proposition to include preferences that exhibit non‐homotheticity. We show that a keeping‐up‐with‐the‐Joneses preference (a non‐intertemporally‐dependent preference) can lead the social planner to commit to a state‐contingent tax on labor income. Moreover, the optimal labor income tax can be either procyclical or countercyclical with respect to economic fluctuations, this crucially depending on whether the level of contemporaneous consumption increases or decreases the wedge between the intertemporal substitution elasticity of households and of the social planner.     

Persistence of business cycles in multisector real business cycle models

In this paper we explore whether the changing composition of output in response to technology shocks can play a significant role in the propagation of shocks over time. For this purpose we study two multisector real business cycle models, with two and three sectors. We find that, although the two-sector model requires a high intertemporal elasticity of substitution of consumption to match the various dynamic properties of US macroeconomic data, the three-sector model has a strong propagation mechanism under conventional parameterizations, as long as the factor intensities in the three sectors are different enough.     

基础设施建设支出、结构性减税与最优政策选择

财政政策的最优政策选择问题对于国家宏观调控政策的出台具有指导意义。既往的研究忽略了利用动态一般均衡的方法探求具有双重外部性的基础设施建设支出与结构性减税支出的政策选择问题。本文利用引入基础设施建设支出和结构性减税的新凯恩斯DSGE模型,测算比较基建支出和结构性减税的政策福利效应。研究表明：具有双重外部性的基础设施建设支出不仅可以通过提高生产效率的方式促进产出,还可以通过挤入居民消费的方式加强政策福利效应。经过测算,短期的基建支出乘数大于结构性减税的政策乘数。同时,基建支出长期平均产出乘数小于结构性减税的平均产出乘数。与结构性减税政策相比,增加基建支出对于财政资金有限的政府是短期内更加有效的产出刺激政策,但在长期中,结构性减税政策不仅具有较高的政策效应,还可以从消费、劳动、投资等角度实现结构性政策目标。进一步研究发现,地区经济发展水平的不同会导致各地区的最优政策选择存在差异性：发达地区可以通过结构性税收政策解决结构性问题的同时实现长期经济增长;而欠发达地区则更应该注重运用基础设施建设为主的支出政策以促进经济增长;但随着人口逐渐从欠发达地区流出,提高欠发达地区的基建支出是否是可行之策,还需要考虑区域协调发展等诸多因素。     

Human capital,innovation, and growth

This paper explores the interaction between human capital and innovation in the process of economic growth. Using a model of endogenous growth, we focus on how taxes and other policy instruments affect the incentives to invest in human capital. In contrast to many other growth models we find that the taxation of human capital has a substantial negative effect on its accumulation. This in turn reduces innovation and, consequently, the income growth rate. More surprisingly, other policies that are intended to stimulate growth may have opposing effects on innovation and the accumulation of human capital. For example, while subsidies to research and to intermediate inputs do have positive effects on innovation and growth, they lead to a lower stock of human capital, in the empirically relevant case when the elasticity of intertemporal substitution in consumption is low.     

Effects of Patent Policy on Income and Consumption Inequality in a R&D Growth Model

To analyze the effects of patent policy on growth and inequality, this article develops a quality‐ladder model with wealth heterogeneity and elastic labor supply. The model predicts that strengthening patent protection increases (a) economic growth by stimulating spending on research and development and (b) income inequality by raising the return on assets. Elastic labor supply creates an additional effect on income inequality. As for consumption inequality, the effect is ambiguous and depends on the elasticity of intertemporal substitution. Calibrating the model to the U.S. data shows that strengthening patent protection increases income inequality by more than consumption inequality, and this pattern is consistent with the data.     

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.     

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.     

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 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.     

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.     

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.     

上海市就业变动的实证分析——基于VAR模型

文章运用协整检验模型、VAR模型、脉冲响应分析等实证方法对上海市就业弹性系数与经济增长、产业结构变动、生产要素投入之间的关系进行检验。结果显示,经济增长、第二产业及第三产业的发展使就业弹性系数上升,促进了上海市就业增加。近年来经济增长及第二产业的发展逐渐进入了稳态,对促进就业的效应出现了边际递减,资本投入的增加对劳动力产生替代,影响了就业的稳定性;长期趋势来看,第三产业的就业吸纳能力强于二产业,产业结构变动的就业创造效应会增强。     

Time preference and two-country trade

We present a dynamic two-country model of international trade with endogenous time preference. We show that if the two countries have similar preferences, production technologies and labor endowments, there exists a unique and stable steady state such that both consumption and investment goods are produced in both countries. Unlike the case of constant time preferences, the steady state is independent of the initial international distribution of capital. We prove a dynamic Heckscher–Ohlin theorem such that the labor-abundant country exports the labor-intensive good.     

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。     

财政支出、贸易条件与实际利率水平

本文主要是分析当一国实行扩张性的财政政策时，它对投资支出以及国际实际利率水平的影响。研究显示，扩张性的财政政策会导致世界各国的投资支出负向变动。这是由于财政支出会造成实际利率水平的变动，而世界各国对实际利率水平变化的反应是非对称性的，所以投资支出的变动有所差别。这种现象主要取决于下述因素：一是政府财政支出倾向对消费支出倾向的替代程度；二是消费跨期替代弹性的大小。     

International capital mobility in a specific factor model

Conclusion This model provides a useful starting point for the study of international capital mobility in the context of a small, open economy. All causes of capital flows are readily uncovered. Factor substitution plays a limited role, leading to straightforward properties. Factor price equalization and reciprocity relations are found. Future research could investigate positive, but less than infinite, capital supply elasticity, due perhaps to a risk premium.