Scale Effects,Savings and Factor Shares in a Human Capital-based Growth Model with Physical Capital Accumulation

Using a balanced-growth model with physical and human capital accumulation, we analyze quantitatively the long-run effects of changes in the savings rate and in income distribution (i.e. the shares of physical and human capital in income) on investment in skill acquisition, income growth, and the ratio of human to physical capital. In the long run, the ratio of physical to human capital is constant, so that these two factor inputs can grow at the same rate. This rate is a function of the economy's exogenous technological and preference parameters and depends positively on the share of skills invested in human capital formation. We also find that population growth is neither necessary nor conducive to economic growth, that the level of real income depends linearly on the level of human capital and that it is independent of population size.     

The trade balance and the terms of trade in a two-country two-sector OLG economy

We consider a two-country, two-sector OLG model. It is shown that the trade balance and the relative price of exports are always positively related when exports are labor intensive regardless of the elasticity of intertemporal substitution in consumption. A large response of savings to future prices becomes a sufficient condition for an inverse relation between these variables only if exports are capital intensive. In this case, a rise in the terms of trade can be followed by a trade balance decline if consumption goods are capital intensive and the income effect implied on savings is negative and large.     

Two‐level CES Production Technology in the Solow and Diamond Growth Models*

The two‐level CES aggregate production function—that nests a CES into another CES function—has recently been used extensively in theoretical and empirical applications of macroeconomics. We examine the theoretical properties of this production technology and establish existence and stability conditions of steady states under the Solow and Diamond growth models. It is shown that in the Solow model the sufficient condition for a steady state is fulfilled for a wide range of substitution parameter values. This is in sharp contrast with the two‐factor Solow model, where only an elasticity of substitution equal to one is sufficient to guarantee the existence of a steady state. In the Diamond model, multiple equilibria can occur when the aggregate elasticity of substitution is lower than the capital share. Moreover, it is shown that for high initial levels of capital and factor substitutability, the effect of a further increase in a substitution parameter on the steady state depends on capital–skill complementarity.     

Social capital, innovation and growth: Evidence from Europe

This paper investigates the interplay between social capital, innovation and per capita income growth in the European Union. We model and identify innovation as an important mechanism that transforms social capital into higher income levels. In an empirical investigation of 102 European regions in the period 1990-2002, we show that higher innovation performance is conducive to per capita income growth and that social capital affects this growth indirectly by fostering innovation. Our estimates suggest that there is no direct role for social capital to foster per capita income growth in our sample of European Union countries.     

Balanced‐Budget Rules,Elasticity of Substitution,and Macroeconomic (In)Stability

This paper examines the relation between factor substitution and (local) stability of equilibria in a one‐sector real business cycle model under balanced‐budget rules. We show that under non‐unitary elasticity of factor substitution, the Schmitt‐Grohé‐Uribe indeterminacy result can be altered. Using the two‐step normalization procedure, we highlight two opposing effects of factor substitution, namely, the efficiency effect and the distribution effect, on aggregate stability. With endogenous distortionary taxes and gross substitutability between capital and labor, the existing literature overlooks the distribution effect and finds that balanced‐budget rules are likely to deliver indeterminacy. However, if capital stock is relatively more abundant, a higher elasticity of substitution generates a source of stability due to the distribution effect. Our calibration shows that the distribution effect is always the dominating force.     

Structural change,savings and current account balance

Private savings have experienced remarkable divergences across countries in recent years. In this paper we use a new factor, economic structural changes, to explain the differences of private savings in developing countries and its impacts on current account balance. We point out that growth related structural changes can be decomposed into productivity changes and job reallocations, which will affect private savings differently through wage effect and labor reallocation effect. Wage variation resulting from productivity growth will increase private savings, while labor reallocation moving from low income to high income sectors will reduce savings. Using sector level data, we find strong empirical evidence that structural change patterns have a significant impact on private savings and current account balance. This result provides another way to understand the recent “savings glut” in East Asian countries and also has some implications for the large current account imbalance issue.     

China's regional income disparityAn alternative way to think of the sources and causes1

Using data on China's provincial economies for the period 1978–2005, we decomposed the causes and factors that have contributed to inter‐regional per capita income disparity. Variance in capital per employee and variance in capital elasticity are found to be the two main sources of income disparity while the employment–labour force ratio is shown to be an important factor in containing the rise of income disparity. An analysis on inter‐regional factor reallocation effects reveals their relatively small and insignificant contributions to overall growth performance. It is also discovered that capital has in most years flowed in the right direction to pursue higher marginal productivity across provincial economies. Inter‐provincial labour movement, on the other hand, had not displayed significant equilibrating effects until institutional reforms started to allow freer inter‐regional labour mobility in later years. Generally, we conclude that market‐oriented factor mobility has played a crucial role in equalizing factor returns as well as enhancing growth efficiency across regions.     

Production risk and the functional distribution of income in a developing economy: tradeoffs and policy responses

We develop a stochastic endogenous growth model to examine the relationship between the volatility of growth and the factor distribution of income. Our framework incorporates two important features of developing economies: the co-existence of a modern and a traditional sector and the fact that the income generated in the traditional sector can escape taxation. The relationship between volatility and factor distribution is complex, depending upon the source of risk and the elasticity of substitution between capital and labor in the formal sector. The policy options available to the government for counteracting changes in volatility are analyzed. The second best optimal tax structure is also characterized.     

Human capital, economic growth, and regional inequality in China

We show how regional growth patterns in China depend on regional differences in physical, human, and infrastructure capital as well as on differences in foreign direct investment (FDI) flows. We also evaluate the impact of market reforms, especially the reforms that followed Deng Xiaoping's “South Trip” in 1992 those that resulted from serious hardening of budget constraints of state enterprises around 1997. We find that FDI had a much larger effect on TFP growth before 1994 than after, and we attribute this to the encouragement of and increasing success of private and quasi-private enterprises. We find that human capital positively affects output and productivity growth in our cross-provincial study. Moreover, we find both direct and indirect effects of human capital on TFP growth. These impacts of education are more consistent than those found in cross-national studies. The direct effect is hypothesized to come from domestic innovation activities, while the indirect impact is a spillover effect of human capital on TFP growth. We conduct cost-benefit analysis of hypothetical investments in human capital and infrastructure. We find that, while investment in infrastructure generates higher returns in the developed, eastern regions than in the interior, investing in human capital generates slightly higher or comparable returns in the interior regions. We conclude that human capital investment in less-developed areas is justified on efficiency grounds and because it contributes to a reduction in regional inequality.     

Redistribution,inequality, and efficiency with credit constraints: Implications for South Africa

We develop a model that jointly determines the distribution of income and the aggregate macrodynamics. We identify multiple channels through which alternative public policies such as transfers, consumption and income taxes, and public investment will affect the inequality-efficiency trade-off. Income tax and transfers have both a direct income and an indirect substitution effect; a consumption tax has only the latter. We present extensive numerical simulations motivated by the South African National Development Plan 2030, the objective of which is to reduce soaring inequality and increase per capita GDP. Our results illustrate how the judicious combination of social grants and a consumption tax may help achieve these targets. The simulations also suggest that the sharp decline in the private-public capital ratio, coupled with a high degree of complementarity between public and private capital may help explain the persistence of market inequality in South Africa during the last two decades.     

Growth promoting policies,distribution, and the balance of payments

This paper studies the consequences of growth promoting policies for income distribution, aggregate savings, and the balance of payments in a small open economy. We focus on the case of a reduction in capital income taxation. Then the traditional OLG model, which emphasizes the inter-generational distribution, predicts that both investment and consumption are boosted. It is obvious then that the trade balance deteriorates. However, we show that this result is no longer robust if one allows for heterogeneity of agents within each generation. Then the intra-generational distribution effect, which implies a negative relationship between the share of capital income and aggregate consumption, may cause consumption to decline, and the trade balance to improve. This effect concurs with the classical, or post-Keynesian view on the relationship between distribution and savings. This post-Keynesian effect is, however, important for the short run only; the long-term result for the trade balance is not essentially changed by allowing for intra-generational heterogeneity.     

Changes in income distribution over time in a one-sector neoclassical setting

This paper, which is aimed at explaining the endogeneous changes in the income distribution as an economy grows, extends Darity's model and applies it to the Gini decomposition equation developed by Fei, Ranis and Kuo. It defines two types of families, the rich and the poor, both being allowed to own labor and capital but the former being assumed to own more capital and have a higher savings rate than the latter. Total supply is produced according to a neoclassical production function. Consumption demand is determined by the pattern of income distribution, and the excess of total supply over consumption is available for investment, which is an addition to the physical capital stock as well as an increase in the wealth of the rich and poor families. Over time, both families become more wealthy as the economy grows according to enlarged production capacities, meanwhile the wage rate rises and the return to capital falls as capital deepening proceeds. These, along with the distribution of factor ownership between the poor and the rich family, determines the pattern of income distribution. It is then found that: (a) as the economy grows from an initial low-level per capita income towards a long-run steady-state equilibrium, the changes in income distribution over time may follow a variety of patterns, depending mainly on the magnitude of the elasticity of substitution and the situation of the initial position; and (b) only if (i) the initial distribution of the ownership of capital is comparable to or slightly more concentrated in the hands of the rich family than its long-run steady level, and (ii) the elasticity is less than one, will the changes in income distribution over time be consistent with the Kuznets inverted-U pattern.     

Government spending and growth in second-best economies

This paper extends public spending-based growth theory along three directions: we assume a logistic trajectory for the ratio of government expenditure to aggregate income, self-limiting population change, and exogenous technological progress. By focusing on the choices of a benevolent social planner we find that, if the inverse of the intertemporal elasticity of substitution in consumption is sufficiently high, the ratio of consumption to private physical capital converges towards zero when time goes to infinity. Depending on the form of the underlying aggregate production function and on whether, for given production function, technological progress equals zero or a positive constant, our model may or may not yield an asymptotically balanced growth path (ABGP) equilibrium. When there is no exogenous technological progress, an equilibrium where population size, the ratio of government spending to aggregate income and the ratio of consumption to private physical capital are all constant does exist and the equilibrium is a saddle point. In case of positive technological progress numerical simulations show that the model still exhibits an ABGP equilibrium.     

Redistributive innovation policy,inequality, and efficiency

We examine the efficiency and distributional effects of regressive and progressive public R&D policies that target high‐tech and low‐tech sectors using a heterogenous‐agent growth model with in‐house R&D and incomplete capital markets. We find that such policies have important implications for efficiency and inequality. A regressive public R&D investment financed by income tax could boost growth and welfare via a positive effect on individual savings and effort. It could, however, also lower growth and welfare via its effect on the efficiency–inequality trade‐off. Thus, the relationship between public R&D spending and welfare is hump‐shaped, admitting an optimal degree of regressivity in public R&D spending. Using our baseline model, and the US state‐level GDP data, we derive the degree of regressiveness of public R&D investment in US states. We find that US states are more regressive in their R&D investment than the optimal regressiveness implied by our growth model.     

Does the quality of institutions enhance savings? The case of Sub-Saharan Africa

Over the last three decades, there has been increasing disparity in savings across regions and income groupings globally. In this paper, we investigate whether the quality of institutions explains the saving disparities in Sub-Saharan Africa (SSA). Utilizing comprehensive panel data and spanning the period 1980–2015, we estimate a savings model using the two-step instrumental variable generalized method of moment (2SIV-GMM) estimator. Our results show that the impact of institutions on savings behaviour differs across regions and income groupings, and in SSA, in aggregate. We find that the level and growth of per capita income and terms of trade enhance savings whereas government consumption expenditure, financial sector development and the elderly dependency rate are savings impeding. The findings are robust to alternative model specification and highlight the importance of institutions in influencing savings behaviour in SSA.     

Investment subsidies and redistributive capital income taxation in a neoclassical growth model

How do investment subsidies bear on pure redistribution when coupled with capital income taxes? In a heterogeneous agent, neoclassical growth framework it is found that on impact, with no optimizing behavior, investment subsidies are good for growth but bad for redistribution. The opposite holds for capital income taxes. But when the government acts as a Stackelberg leader vis-à-vis the private sector (the follower), the optimal feedback policy is by construction time-consistent and implies that in a long-run optimum the tax scheme does not distort accumulation. This holds regardless of social preferences. For the feedback Stackelberg equilibrium I find that (pure) redistribution can go either way and capital income taxes are nonzero in the long-run, time-consistent optimum, depending on the social weight of those who receive redistributive transfers, the distribution of pretax factor incomes, and the intertemporal elasticity of substitution. It is argued that investment subsidies may be an important indirect tool for redistribution, and may allow for the separation of “efficiency” and “equity” concerns.     

Capital depreciation allowances,redistributive taxation,and economic growth

Are capital depreciation allowances when coupled with capital income taxes good instruments for redistribution in the long run? In a simple two-agent-economy I find that accelerated depreciation is good for growth, but bad for redistribution. The opposite holds for capital income taxes. However, in a feedback Stackelberg equilibrium, where the government is the leader and the private sector the follower, the depreciation allowance is maximal in the long run, time-consistent optimum. This removes the accumulation distortion of capital income taxes. Furthermore, the latter, and so redistribution, is found to be generically nonzero in the time-consistent optimum, and depends on the social weight of transfers receivers, the pretax factor income distribution, the intertemporal elasticity of substitution and the time preference rate. Thus, accelerated depreciation allowances are an important indirect tool for redistribution. The tax scheme allows for a separation of “efficiency” and “equity” concerns for redistributive policies.     

经济增长与收入分配间的相互作用机制及其实证分析——基于有约束条件的VECM

本文提出经济增长与收入分配间的相互作用机制,在这基础上利用带有两个协整的VECM对该机制进行实证.结果表明:改革开放以来我国收入分配通过降低物质资本和人力资本效力影响经济增长,且金融发展程度有助于缓解收入分配对经济增长这种的负作用;经济增长通过物质资本途径扩大收入差距,通过人力资本途径缩小收入差距.     

On the Dynamics of Basic Growth Models: Ratio Stability vs. Convergence and Divergence in State Space

Abstract. We show for a class of basic growth models that convergence in ratios does not imply the pathwise convergence to the corresponding balanced growth path in the state space. We derive conditions on parameters and on the elasticity of the savings function for convergence or divergence and apply our results to the Solow model, an augmented Solow model as well as to an optimal growth model. An implication for the convergence debate is that two economies that differ only in the initial capital stock and converge in per capita terms might diverge to infinity in absolute terms.     

TECHNOLOGICAL CHANGE,HUMAN CAPITAL STRUCTURE,AND MULTIPLE GROWTH PATHS*

This paper presents a theoretical model to analyze the effects of technology change on growth rates of income and human capital in the uncertain environments of technology. The uncertainty comes from two sources: the possibility of a technology advance and the characteristics of new technologies. We set up an overlapping generations model in which young agents invest in both width and depth of human capital in order to adopt new technologies. The model develops explicitly the micro‐mechanism of the role of human capital in adopting new technologies as well as that of the process of human capital production in the uncertain environments. In our model, a higher level of width of human capital relative to the level of depth leads one country to a higher growth path. We also show that an economy can have different growth paths depending on the initial structure of human capital and the uncertainty about the nature of new technologies. In particular, new technologies with more uncertain characteristics may adversely affect human capital accumulation and income growth, leading the economy to a low growth trap.