CAPITAL‐ AND LABOR‐SAVING TECHNICAL CHANGE IN AN AGING ECONOMY

Does population aging and the associated increase in the old‐age dependency ratio affect economic growth? The answer is given in a novel analytical framework that allows for population aging to affect endogenous capital‐ and labor‐saving technical change. In a steady state capital‐saving technical progress vanishes, and the economy's growth rate of per‐capita variables reflects only labor‐saving technical change. The mere possibility of capital‐saving technical change is shown to imply that the economy's steady‐state growth rate becomes independent of its age structure: Neither a higher life expectancy nor a decline in fertility affects economic growth in the long run.     

A particular class of continuous-time stochastic growth models

This paper generalizes to uncertaintly the neoclassical one-sector model by transforming the basic differential equation on the capital labor ratio into a “stochastic” differential equation. The capital-labor ratio and related economic variables become random variables whose probability distributions vary with time, and the paper is focused on the existence of a steady state denfined by the (probabilistic) stationarity of these variables. An application of the results is given for a specific example with a Cobb-Douglas production function and uncertainty on the saving coefficient, the labor-force rate of growth, and the capital depreciation rate.     

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.     

中国未来不同生育水平下的经济增长后果比较研究

对中国未来90年不同生育水平下的经济增长后果进行了人口-经济动态模拟。在生育水平过低导致劳动力减少过快、人口老龄化过重、劳动负担加重的情况下,将使经济增长大大放缓;而较高的生育水平下,虽然经济增长速度略快,但是人均GDP增长速度慢于中方案生育水平下的经济增长,并且人均GDP水平也具有较大差异。完善当前生育政策,使生育水平稳定在1.9-2.0之间,如此人口在本世纪缓慢地减少也将有利于我国的经济增长和人均生活水平的提高。同时,在低生育水平下,依靠劳动增加和资本积累的粗放型经济增长将不复存在,经济发展方式转变是必然选择,技术创新、技术进步将是未来经济增长首要源泉。     

Human capital investment,credentialing, and wage differentials

This study considers how individuals determine at what ratio they will invest in two different types of education. The first type contributes to the development of labor skills, while the other does not. We refer to the former as human capital investment and the latter as unproductive investment, which improves test scores but has no beneficial effect on students' human capital. We formulate an overlapping‐generations economy in which the rich and poor households invest in both types of education. We find that the ratio of human capital investment to unproductive investment is lower in the economy with medium size of the wage differentials. In a dynamic analysis, we identify two patterns of stable steady states for the dynamics of the wage differentials, namely, no‐inequality and high‐inequality steady states. Further, we show that a rapid increase in the level of skill‐biased technology may cause a switch from a steady state with no‐inequality to one with high inequality. This causes at least a temporary increase in the ratio of unproductive investment during the transition to the new steady state.     

Capital accumulation,income distribution and endogenous fertility in an overlapping generations general equilibrium model

A study is conducted in attempts to increase the understanding of the links between macroeconomic effects and causes of population growth in formulating policy. An overlapping generations general equilibrium model is employed aggregating household decisions about fertility, savings, and investment in the human capital of children with the objective of studying intertemporal relationships among population growth, income distribution, inter-generation social mobility, skill composition of the labor force, and household income. As a result of endogenous fertility, the equilibrium path attains steady state from the second generation. Income tax transfer, child taxation, and social security taxation policies are also examined in the paper. A structural explanation is given for the inverse household income-child quantity and negative child quality-quantity relationships seen in developing countries. In a Cobb-Douglas economy, these relationships hold in the short-run, potentially working over the long-run in other economies. Overall, the model shows that group interests may hinder emergence of perfect capital markets with private initiatives. Where developing countries are concerned, these results have strong implications for population policy. A policy mix of building good quality schools, or subsidizing rural education, introducing a formal social security program, and providing high-yield, risk-free investments, banking, and insurance services to the poor is recommended.     

Economic Growth with Foreign Capital

In growth theory, foreign investment places a small open economy in the international steady state. In applied growth theory, foreign investment is assumed to shift technology. The present growth model separates foreign from domestic capital and develops the steady state where both capital/labor ratios are stationary. A capital scarce country would attract foreign investment and may arrive at a steady state with perpetual foreign investment. Such a steady state foreign investment host is characterized by low saving and high labor growth rates, and source countries the opposite. Incomplete convergence characterizes economic growth with foreign capital.     

WHAT ACCOUNTS FOR JAPAN'S HIGH RATE OF GROWTH?*

The purpose of this paper is to investigate the sources of economic growth in Japan and to compare the results with those in the U.S. and Europe as studied by E. F. Denison. The method used by Denison is followed as far as possible. The character of this paper is of fact finding, and the interpretation of results or the originality of methodology is not dealt with here. The results may be summarized as follows. (1) Japan's growth rate is two times that of Europe and three times that of the United States. (2) The contributions of labor, capital, and the residual to economic growth are all higher for Japan than for the U.S. or Europe. (3) Factors which account for the higher contribution of labor to economic growth are (a) the higher rate of increase in employment, (b) less shortening of working hours, and (c) improved age and sex composition. (4) Factors which account for the higher contribution of capital to economic growth are a higher rate of increase in capital input and the high elasticity of production with respect to capital. (5) Other notable points include: (a) the contribution of education is lower for Japan; (b) the capital-labor ratio in Japan increased remarkably; (c) capital's share of national income is higher; and (d) 60% of Japan's economic growth is accounted for by the residual.     

FOREIGN CAPITAL AND ECONOMIC GROWTH

This paper examines the economic implications of institutional arrangements by which foreign investors are required to reinvest a certain percentage of their capital within the host country. Our analysis shows that foreign capital inflow can produce long-lasting economic benefits to the host country only when the foreign capital reinvestment rate is sufficiently greater than the host country's saving rate. In this case, the economy evolves into a unique steady state equilibrium, which is also asymptotically stable. The paper also presents several comparative static results regarding the responses of steady state capital-labour ratio and the proportion of foreign capital in total capital to changes in the population growth rate, the rate of capital depreciation, the host country's saving rate and the foreign capital reinvestment rate.     

Real Minimum Wage and Growth Theory: Simulations and Some Policy Results

Abstract

A Solow type two‐sector growth model is used to examine several issues related to growth and unemployment in a minimum wage economy. By simulating the model, we demonstrate that given the same percentage increase in wage rate, an economy with a higher capital–labor ratio is more likely to decay. More importantly, a tariff policy reduces the unemployment periods by 92% provided that the current capital–labor ratio is one‐sixth of that of the steady state capital–labor ratio. We assume that the first best policy of uniform wage subsidy is not politically feasible.     

Indeterminacy in dynamic models: When Diamond meets Ramsey

We consider an aggregate two-periods overlapping generations model with endogenous labor, consumption in both periods of life, homothetic preferences and productive external effects coming from the average capital and labor. We show that under realistic calibrations of the parameters, in particular a large enough share of first period consumption over the wage income, local indeterminacy of equilibria cannot occur with capital externalities alone. It can nevertheless occur when there are only, even very small, vanishing labor externalities provided that the elasticity of capital-labor substitution and the wage elasticity of the labor supply are large enough. We also show that if labor externalities are slightly stronger, but still small enough to be plausible, and the elasticity of labor supply is larger, local indeterminacy occurs in a Cobb-Douglas economy. Finally, we show that a locally indeterminate steady state is generically characterized by an under-accumulation of capital. It follows therefore that while agents live over a finite number of periods, the conditions for the existence of locally indeterminate equilibria are very similar to those obtained within infinite horizon models and that from this point of view, Diamond meets Ramsey.     

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     

Regulation effects on resource allocation of a utility-maximizing firm

The literature on the effects of rate of return regulation on the allocation of resources was mostly devoted to the classical case of a profit-maximizing monopolist. An attempt is made in this paper to extend the analysis to a firm who maximizes a utility function with profits and revenue as arguments. We prove that a meaningful presentation of the regulation effects implies the formulation of two constraints. Whether the firm over-or undercapitalizes depends on whether the constraint is imposed as an upper or a lower limit. The higher the profit motive the higher the capital-labor ratio and the marginal rate of substitution between labor and capital.     

Dynamic inefficiency in an overlapping generations economy with production

Reichlin [Equilibrium cycles in an overlapping generations economy with production, J. Econ. Theory 40 (1986) 89-102] has shown in an OLG model with productive capital that whenever the steady state is locally indeterminate and undergoes a Hopf bifurcation, it is Pareto-optimal. While these results were established under the assumption of Leontief technology, the author has partially extended them to show that the Hopf bifurcation is robust with respect to the introduction of capital-labor substitution. In this note, we prove that the Pareto-optimality of the steady state does not extend to technologies with capital-labor substitution. When the steady state is a sink or undergoes a Hopf bifurcation, it is characterized by over-accumulation with respect to the Golden Rule—the interest rate is negative—hence not Pareto-optimal. Most importantly, it follows that stabilization policies targeting the steady state leave room for welfare losses associated with productive inefficiency, apart from the very special case of Leontief technology.     

GLOBALIZATION,GENDER, AND GROWTH

We consider the effect of globalization on fertility, human capital, and growth. We view globalization as creating market opportunities for employment in less developed countries. We construct a specific model of household decision making, drawing on empirical observations in the development economics literature, and show that if the market opportunities produced by globalization are for women, then globalization reduces fertility and increases human capital formation. If the opportunities are for men, then fertility increases and human capital formation falls. We then show that globalization that produces job opportunities for women increases growth and produces a long run steady state with higher per capita consumption than would prevail either without globalization, or with globalization that creates jobs only for men.     

Social classes,demographic transition and economic growth

This paper analyzes the role of the demographic transition in the emergence of sustained economic growth, and shows that these two processes are related. Unlike previous contributions which have focused on the importance of human capital, this paper suggests that capital accumulation, and the existence of different social classes may provide an alternative explanation for the observed pattern of output, fertility rates and wages during the 19th century. The framework presented shows that during the first phase of industrialization, a decline in capital–labor ratio reduces the wage rate and increases the dependency of the family unit on child labor, increasing fertility rates. However, in later phases the increase in the capital–labor ratio, due to the saving of the business elite, reduces the necessity of child labor bringing about the demographic transition.     

Money, endogenous fertility and economic growth

This paper analyzes the issue of money superneutrality through an intertemporal optimizing model of capital accumulation with endogenous fertility, i.e. endogenous population growth. Two elements of this setup invalidate money superneutrality: (i) a demand for fertility that depends on real money balances, and (ii) an inverse relation between capital–labor ratio and population growth. Higher monetary growth increases fertility, since it reduces its opportunity cost, and hence diminishes capital intensity, and per capita output. This reverse Tobin effect is matched by an increase in aggregate capital and output growth rates. In this framework, the optimal monetary growth rule is a “distorted Friedman rule”.     

Italy’s demographic trap: Voting for childcare subsidies and fertility outcomes

In this paper we study how population aging impacts the age distribution of the voting electorate and voters’ choices over childcare subsidies. We build a computable general equilibrium framework populated by heterogeneous agents who, over the course of their life-cycle, make endogenous and age-dependent fertility choices. The model is calibrated to match economic and population outcomes of the Italian economy. Child support favors young and fertile cohorts but can also impact all population subgroups through changes in prices, income taxation and population growth. A probabilistic voting model is used to measure voting outcomes over a range of childcare subsidy levels and tax policies. Our findings show that childcare subsidies have a positive impact on the total fertility rate and are welfare improving when financed with both capital and labor income taxation and in combination with lower pension contribution rates. A 10 percent increase in the level of subsidies can increase the population growth rate by an average of 0.47–0.70 percentage points. We find that voting choices of different population subgroups, while depending on the tax used to finance new expenditure, lead to lower levels of childcare subsidies, lower fertility rates and to a demographic ‘trap’.     

Population dividend and economic growth in China, 1978–2018

ABSTRACT

China witnessed important demographic transitions during the past 40 years. The significant decline in fertility rate, as a result of both policy change and economic factors, generated the so-called population dividends – rising proportion of working age population – during the past several decades. This paper demonstrates important channels through which broadly defined population dividends contribute to economic growth in China, by magnifying roles of capital, by improving labor quality, alongside increases in labor supply, and by strengthening labor mobility. As population aging now takes over from population dividends as the main demographic trend, it is possible for China to continue its strong growth by focusing on both the traditional growth factors, such as further reducing the proportion of agricultural workers, and new growth factors, such as further improving productivity by strengthening human capital and weakening institutional obstacles.     

Dynamic effects of government expenditure in a finance constrained economy

This paper introduces constant government expenditure in Woodford's finance constrained model (J. Econ. Theory, 1986) with capital-labor substitution as presented in Grandmont, Pintus and de Vilder (J. Econ. Theory, 1998) and investigates how government expenditure influences local dynamics near multiple steady states, depending upon the elasticity of substitution between capital and labor in production.