Human capital distribution, growth and convergence

This paper studies the dynamic relationship between distribution and endogenous growth in an overlapping generations model with accumulation of human and physical capital. It is shown how human capital can determine a relationship between per capita growth rates and inequality in the distribution of income. Family background effects and spillovers in the transmission of human capital generate dynamics in which aggregate variables depend not only on the stock, but also on the distribution of human capital. The evolution of this distribution over time is then characterized under different assumptions on private returns and the form of the externality in the technology for human capital. Conditions for existence, uniqueness and stability of a constant growth equilibrium with a stationary distribution are derived. Increasing returns, idiosyncratic abilities and the possibility of poverty traps are explicitely characterized in a closed form solution of the equilibrium dynamics, showing the role played by technology and preferences parameters.     

On the emergence of competitive equilibrium growth cycles

A basic discrete-time heterogeneous capital goods competitive environment is considered, its potential for displaying steady growth solutions analyzed and the properties of the latter characterized. A first composite good may be used for consumption or investment on a one-to-one basis, while a second good is only used for accumulation, solely capital inputs being part of the production process. This framework is first considered from the allocative standpoint through the derivation of the frontier of the production possibility set. Having defined the perfect foresight competitive equilibrium that also describes a Pareto optimum over time, attention is then given to the potential for unbounded steady growth solutions. Under interiority, summability, and expansivity restrictions, there is a unique optimal steady growth rate. For unitary depreciation rates of both capital goods, locally there exists a unique convergent sequence to this steady growth solution that exhibits a saddlepoint structure. However, as soon as one of the depreciation rates of the capital goods is non-unitary and the profit share accruing to the first capital stock is greater in the second pure accumulation industry than in the first composite good industry, the steady growth solution shows a loss of stability, and competitive equilibrium growth cycles emerge through the occurrence of a flip bifurcation in its neighborhood. This is the first optimal cycles result based upon a production set that does not explicitly incorporate any exogenously determined primary labor input in its definition.     

Investment in Hierarchical Human Capital

Advanced human capital requires "basic" human capital as an input. Physical capital does not, in general, have such hierarchical structure. This paper models optimal investment in hierarchical human capital as well as nonhierarchical physical capital. The authors analyze the steady state, transition dynamics, and endogenous growth properties of the system. The optimal program exhibits non-monotonicities in human capital stocks. This result has important implications for the optimal timing of investment in hierarchical human capital. The analysis also addresses the debate regarding the distribution of education expenditures and the divergence between ex-post and ex-ante rates of return to education.     

International migration,economic policy and human capital accumulation: a simulation study

"This paper examines the economic policy implications of international migration and human capital accumulation within a dynamic general equilibrium model. Each country produces by means of physical and human capital of two types (skilled and unskilled labour). Along optimal growth paths in a world of diverging population growth rates immigration can only be beneficial when the free rider effect (i.e., not paying for training costs) exceeds the capital dilution effect of an increase in population growth. Under quite general conditions the optimal immigration rate is zero."     

Low level equilibrium trap,unemployment, efficiency of education system,child labour and human capital formation

This paper builds an overlapping generations household economy model to examine the impact of adult unemployment on the human capital formation of a child and on child labour, as viewed through the lens of the adult’s expectations of future employability. The model indicates that the higher the adult unemployment rate in the skilled sector, the lesser is the time allocated by an unskilled adult towards schooling of her child. We also find that an increase in the unskilled adult’s wage may or may not decrease child labour in the presence of unemployment. The model predicts that an increase in child wage increases schooling and human capital growth rate only if the adults in the unskilled sector earn less than subsistence consumption expenditure. As the responsiveness of skilled wage to human capital increases, schooling and human capital growth rates increase. The model dynamics bring out the importance of education efficiency and parental human capital in human capital formation of the child. In the case of an inefficient education system, generations will be trapped into low level equilibrium. Only in the presence of an efficient education system, steady growth of human capital is possible. Suitable policies that may be framed to escape the child labour trap are discussed as well.     

CONSUMPTION AND LEISURE EXTERNALITIES, ECONOMIC GROWTH AND EQUILIBRIUM EFFICIENCY

This paper analyzes the effects of consumption and leisure externalities on growth and welfare in a two‐sector endogenous growth model with human capital accumulation. Both types of externalities are shown to affect the long‐run equilibrium and optimal growth rates in a rather different way. The relationship between the steady state of the market and the centrally planned economy is also analyzed. The optimal growth path can be decentralized by resorting to consumption or labor income taxation, whereas capital income should be untaxed. Numerical simulations suggest that growth and welfare effects of mild consumption and leisure externalities may be quantitatively important.     

Capital market imperfections in a monetary growth model

Summary. We consider a monetary growth model essentially identical to that of Diamond (1965) and Tirole (1985), except that we explicitly model credit markets, a credit market friction, and an allocative function for financial intermediaries. These changes yield substantially different results than those obtained in more standard models. In particular, if any monetary steady state equilibria exist, there are generally two of them; one of these has a low capital stock and output level, and it is necessarily a saddle. The other steady state has a high capital stock and output level; either it is necessarily a sink, or its stability properties depend on the rate of money creation. It follows that monetary equilibria can be indeterminate, and nonconvergence phenomena can be observed. Increases in the rate of money creation reduce the capital stock in the high-capital-stock steady state. If the high-capital-stock steady state is not a sink for all rates of money growth, then increases in the rate of money growth can induce a Hopf bifurcation. Hence dynamical equilibria can display damped oscillation as a steady state equilibrium is approached, and limit cycles can be observed as well. In addition, in the latter case, high enough rates of inflation induce the kinds of “crises” noted by Bruno and Easterly (1995): when inflation is too high there are no equilibrium paths approaching the high-activity steady state. Received: November 18, 1995; revised version: March 26, 1996     

Effect of social security on fertility and savings: an overlapping generations model

Old-age pension schemes do not exist in most developing countries, so adults bear children as security investments for the future. This phenomenon leads to unduly high rates of population growth. It has been hypothesized that introducing social security programs in such countries would increase savings rates and reduce the number of children born over the long term. The author studies the general equilibrium effects of some social security programs on rates of population growth and capital accumulation within an overlapping generations framework with endogenous fertility and savings. Specifically, Raul's overlapping generations growth model is extended to study the general equilibrium effects of payroll-tax-financed and child-tax-financed social security programs. It is shown that if the rate of intergenerational income transfers from young to old or child care cost is low, competitive equilibrium leads toward overpopulation and capital accumulation in a modified Pareto optimal sense; a social security program in such a case is therefore Pareto improving. A fully-funded system is not neutral when financed by child taxes. Finally, it is also shown that unlike in the case of exogenous fertility where competitive equilibrium attains steady state only asymptotically, fertility, when endogenous, may attain a unique globally steady state in finite time.     

Capacity Utilization,Foreign Portfolio Investment and International Debts and Deficits

This paper develops a long-run equilibrium growth model, in the tradition of Keynes, Kalecki and Steindl, involving international capital flows between a debtor and a creditor country, and in which capacity utilization is variable. This latter assumption implies that the shares of savings by capitalists and workers will vary with capacity utilization. Profit rates will also vary with capacity utilization rates, so that the establishment of a common warranted rate of growth requires that the rates of profit in the creditor and the debtor countries must vary inversely. The long-run equilibrium shares of ownership of the two stocks of capital must therefore vary as the utilization rates vary. Taking the international interest rate as given, steady growth in each country at near full employment is shown to be accommodated, to some extent, through variations in the degree of capacity utilization. Even if income distribution remains unchanged, the variability of capacity utilization allows the existence of a range of growth rates consistent with the long-run equilibrium conditions of the model.     

General equilibrium with trade balance and real interest rate parity

This paper demonstrates, in the context of a two-sector OLG neoclassical growth model, conditions under which international trade in consumption goods alone may be sufficient for the equalization of real returns to physical capital across countries; that is, under which commodity arbitrage is sufficient for real interest rate parity (RIRP). This role for repeated commodity arbitrage is established via a dynamic extension of the factor price equalization (FPE) theorem which is valid at all dates comprising the equilibrium path as well as its steady state. The results are at odds with the conventional view regarding RIRP which arises from open one-sector growth models, in which case steady state trade balance and RIRP are irreconcilable, and are also a contradiction to frequent assertions of lon-run specialization in two-sector frameworks. An equilibrium path for an integrated world economy yields an endogenous, time-variant cone of diversification which implies sufficient conditions for the dynamic paths of a cross-section of economies to exhibit FPE, and hence RIRP with trade balance, at all points in time. These conditions require that the savings rates and initial capital-labor ratios of individual countries do not deviate too significantly from world averages, and that both sectors absorb capital easily. The first of these requirements is sufficient to establish steady state FPE and RIRP in the general specification. The first two requirements are sufficient for the entire equilibrium path to be characterized by FPE and RIRP in a log-linear example. Received: September 22, 1998; revised version: February 10, 2000     

Social status, human capital formation and super-neutrality in a two-sector monetary economy

In this paper, we study how social status affects the impact of monetary policy on the long-run growth rate in a two-sector monetary economy with human capital accumulation, and find that the super-neutrality of money, with regard to the growth rate of the economy depends on the formation of human capital. In an economy with Lucas-type human capital formation, money is super-neutral; however, for an economy in which both physical and human capital are used as inputs for human capital accumulation, the money growth rate will have a positive effect on the long-run economic growth rate. The existence, uniqueness and saddle-path stability of balanced-growth equilibrium are also examined.     

Lindahl Pricing, Nonrival Infrastructure, and Endogenous Growth

The paper constructs a model of endogenous growth where infrastructure is an accumulable stock generating a nonrival input service. A typical market economy cannot attain the socially optimum steady state path, since nonrivalry precludes competitive pricing of infrastructure. However, there exist agent specific prices for the infrastructural service, a price for the infrastructural stock, a rate of interest, and a subsidy for the representative household that can sustain the optimal path as a dynamic Lindahl equilibrium. The rates of return from physical and infrastructural capital equal the rate of interest. Investment programs are socially optimum. The government's budget is balanced.     

Optimal fiscal policy in the Uzawa-Lucas model with externalities

Summary. This paper devises a fiscal policy by means of which the first-best optimum equilibrium is attained as a market equilibrium in the Uzawa-Lucas model when average human capital has an external effect on productivity. The optimal policy requires the use of a subsidy to investment in human capital which can be financed by a tax on labor income. Lump-sum taxation is not required to balance the government budget either in the steady state or in the transitional phase. Physical capital income should not be taxed. Alternatively, the optimal growth path can be attained by means of a subsidy to human capital. Received: March 21, 2002; revised version: September 4, 2002 RID="*" ID="*" Financial support from the Spanish Ministry of Science and Technology through PNICDYIT grant SEC2002-03663 is gratefully acknowledged.     

Only income diverges: A neoclassical anomaly

The neoclassical growth model (NGM) is only consistent with the absolute divergence in output levels we observe if some determinants of steady state income are also diverging. In this paper we show that accumulation rates of physical and human capital are actually significantly converging, as are openness to trade and several variables measuring institutional quality. Output divergence in the face of input, policy and institutional convergence is a deep anomaly for the NGM.     

R&D, Imperfect Competition and Growth with Human Capital Accumulation

This paper studies the long‐run consequences of imperfect competition on growth and the sectoral distribution of skills within an R&D‐based growth model with human capital accumulation. We find that steady‐state growth is driven only by incentives to accumulate skills. In the model imperfect competition has a positive growth effect, while influencing the allocation of human capital to the different economic activities employing this factor input. Contrary to general wisdom, the share of resources invested in R&D turns out not to be monotonically increasing in the product market power and its correlation with the equilibrium output growth rate is not unambiguous.     

Physical and human capital,fertility, and childcare services

We shed light on a nexus between fertility transitions and economic growth patterns. We construct a two-sector overlapping generations (OLG) model with endogenous fertility, physical capital, and human capital, where one sector produces goods, and another produces childcare services. If the elasticity of fertility for expenditure on childcare services is zero, the economy experiences endogenous growth, and fertility does not depend on physical and human capital, but it increases with parental child-rearing time. On the other hand, if elasticity is positive, the economy converges to a steady state, and the number of children becomes the homogenous function of degree of elasticity (less than one). In other words, fertility is the decreasing-return-to-scale function of physical and human capital. We show that a subsidy policy for education is more desirable than a subsidy for childcare services.     

政府公共资本投资的长期经济增长效应

本文首先建立一个包含政府公共资本投资的两部门内生增长模型,并把公共资本投资分为政府物质资本投资和人力资本投资,从而对公共资本投资的长期经济增长效应进行理论分析。结论是,两种形式的公共资本投资对长期经济增长都可能具有正效应也可能具有负效应,取决于民间经济主体消费跨时替代弹性大小。其次,我们利用向量自回归分析框架,对我国1978—2004年间公共资本投资对长期经济增长的影响作实证分析。结论是,我国两种形式的公共资本投资与经济增长之间存在着长期均衡关系,其中政府公共物质资本投资对长期经济增长的正影响更为显著,而政府公共人力资本投资对长期经济增长的正影响较小,且在短期内不利于经济增长。这一结论对我国今后科学制定财政政策和选择公共投资领域都具有重要意义。     

HOW LARGE ARE LEARNING EXTERNALITIES?*

The quantitative features of human capital externalities are not fully understood. Although static externalities are estimated in some studies, learning externalities remain mostly unestimated. By calibrating a growth model, this article provides an estimate of learning externalities. The calibration uses an equilibrium condition that equates private returns on physical capital and human capital. The results suggest that sizable learning externalities exist, even in a conservative setup. The estimated social rate of return on human capital is 9.0%, compared to the private rate of return, 6.6%. Therefore, human capital externalities are an important source of economic growth.     

人力资本门槛、创新互动能力与低发展陷阱——对1990年以来中国地区经济差距的实证检验

1990年以来,中国各地区经济差距不断扩大现象引起理论界的广泛关注。内生增长理论认为,原因可能在于落后地区的低人力资本禀赋难以同本地创新形成良性互动,导致经济增长速度始终囿于低发展陷阱。中国地区数据的实证结果表明,中等层次人力资本是创新经济增长的主要驱动要素,同一人力资本门槛内部的相近地区经济增长率基本保持均衡。如果外生政策变量不诱导落后地区跨越人力资本门槛,这类地区的低发展均衡状态将很难被突破。因此,在增加物质资本投入的同时突出人力资本建设,对平衡中国各地区经济增长具有很强的政策意义。     

A Spatial Econometric Analysis of Cultural Dimensions,Technology Knowledge and Economic Growth

Using data from 65 countries over the period 1980–2003, this paper investigates the role that cultural dimensions play in the process of technological change, innovation and adoption and consequently on the steady state level of output per worker and its growth, using spatial econometrics techniques to account for spatial dependence between countries. Initial findings indicate that differences across cultural dimensions act as a leveling effect but not as long run growth determinants. In addition, when controlling for physical and human capital accumulation, culture plays a much smaller role in explaining differences in income per capita than initially thought, with little effect on output per worker growth along the transitional dynamics path. Spatial econometric considerations are relevant in explaining differences across rates of growth of per worker output, but not in terms of steady‐state levels of income.