A golden rule of public finance or a fixed deficit regime?: Growth and welfare effects of budget rules

In this paper, we compare growth and welfare effects of various budget rules within an endogenous growth model with productive public capital, utility enhancing public consumption and public debt. We find that introducing a fixed deficit regime does not affect the long run growth rate compared to a balanced budget while establishing a golden rule results in higher growth. Simulations of welfare effects indicate that a golden rule leads to highest welfare followed by a balanced budget and a fixed deficit regime. A maximum fraction of deficit financed public investment is derived. Varying the intertemporal elasticity of substitution shows that economies populated by households who have a strong tendency to smooth consumption should adhere to a balanced budget from a welfare point of view.     

Undiscounted optimal growth with consumable capital and labor-intensive consumption goods

This paper presents a complete characterization of the optimal policy in a two sector undiscounted growth model. The model is an extension of the Leontief two sector model, which analyzes the optimal allocation of capital and labor to a consumption good sector and an investment good sector. The paper extends this framework to include consumable capital. Thus, the planner has preferences over the consumption good and the consumable capital. Future welfare levels are treated equally as current ones. Geometric techniques are applied to characterize the optimal policy if the consumption good is labor-intensive. The results suggest that if the initial capital stock is above a threshold level, that depends upon the consumption of capital, every optimal program is monotonic, converges to the golden rule stock in a finite number of periods, and undergoes either unemployment or excess capacity of capital.     

OPTIMAL TRANSITION DYNAMICS IN THE LEONTIEF TWO‐SECTOR GROWTH MODEL WITH DURABLE CAPITAL: THE CASE OF CAPITAL INTENSIVE CONSUMPTION GOODS*

We present results on undiscounted optimal policies in the Leontief two‐sector growth model with durable capital. Unlike the results with a labour intensive consumption goods sector, we show that a monotonic optimal programme is only one special case out of many richer possibilities of transition dynamics. Depending on the initial capital stock, and a key parameter ζ that could be interpreted as a marginal rate of transformation of capital between today and tomorrow, an optimal programme may converge to a period‐two cycle; and even when it converges to the golden rule stock, it can do so (damped) cyclically or with a “jump”.     

A nonsmooth, nonconvex model of optimal growth

This paper analyzes the nature of economic dynamics in a one-sector optimal growth model in which the technology is generally nonconvex, nondifferentiable, and discontinuous. The model also allows for irreversible investment and unbounded growth. We develop various tools to overcome the technical difficulties posed by the generality of the model. We provide sufficient conditions for optimal paths to be bounded, to converge to zero, to be bounded away from zero, and to grow unboundedly. We also show that under certain conditions, if the discount factor is close to 1, any optimal path from a given initial capital stock converges to a small neighborhood of the golden rule capital stock, at which sustainable consumption is maximized. If it is maximized at infinity, then as the discount factor approaches 1, any optimal path either grows unboundedly or converges to an arbitrarily large capital stock.     

Revisiting human capital and aggregate income differences

We revisit human capital and development accounting. In quantifying human capital, we split it into three components; schooling (years of education), cognitive skills (as proxied by test score results), and a health indicator (for which adult survival rates are used). Our calculations are reported for a substantive cross-section of countries for the year 2000. According to our most conservative estimates, the most complete measure of human capital accounts for 19–28% of differences in output per worker across countries, but when excluding the health component this value falls to 17–22%, and further to 13–14% when only considering schooling. We present group comparisons, finding for some regions values as large as 40–50%.     

Implementing Steady State Efficiency in Overlapping Generations Economies with Environmental Externalities

We consider in this paper overlapping generations economies with pollution resulting from both consumption and production. The competitive equilibrium steady state is compared to the optimal steady state from the social planner's viewpoint. We show that the dynamical inefficiency of a competitive equilibrium steady state with capital–labor ratio exceeding the golden rule ratio still holds. Moreover, the range of dynamically efficient steady state capital ratios increases with the effectiveness of the environment maintenance technology, and decreases for more polluting production technologies. We characterize some tax and transfer policies that decentralize as a competitive equilibrium outcome the transition to the social planner's steady state.     

Efficiency in overlapping generations economies with longevity choices and fair annuities

When individuals can influence their life-expectancies and save in annuities, suboptimal savings result from the lack of incentives to choose the optimal longevity, even when annuity returns can be made contingent to longevity-related choices. Specifically, the golden rule steady state maximizing the representative agent utility cannot be attained as a competitive equilibrium under laissez-faire, even with actuarially fair annuities contingent to longevity-enhancing choices. In order to decentralize through markets the golden rule, longevity-enhancing expenditures need to be taxed if the steady state old-age consumption exceeds the annuitized capital return, and subsidized otherwise—the government budget being balanced through lump-sum transfers or taxes. Interestingly, with positive population growth the expected net contribution is negative when longevity-enhancing expenditures are taxed, and positive when subsidized.     

On the Phelps–Koopmans theorem

We examine whether the Phelps–Koopmans theorem is valid in models with nonconvex production technologies. We argue that a nonstationary path that converges to a capital stock above the smallest golden rule may indeed be efficient. This finding has the important implication that “capital overaccumulation” need not always imply inefficiency. Under mild regularity and smoothness assumptions, we provide an almost-complete characterization of situations in which every path with limit in excess of the smallest golden rule must be inefficient, so that a version of the Phelps–Koopmans theorem can be recovered. Finally, we establish that a nonconvergent path with limiting capital stocks above (and bounded away from) the smallest golden rule can be efficient, even if the model admits a unique golden rule. Thus the Phelps–Koopmans theorem in its general form fails to be valid, and we argue that this failure is robust across nonconvex models of growth.     

Dynamic Inefficiency in an Overlapping Generation Economy with Pollution and Health Costs

We analyze an overlapping generations model in which pollution arises, in an accumulatively way, from production. Householders do not care directly about the environment, but pollution leads them to incur health costs when they are elderly. We show that the presence of pollution means that the economy more likely to be dynamically inefficient. For these cases we analyze two kinds of tax scheme: one based on production taxes and the other based on capital and wage taxes. We show how to design both schemes to put the economy into the golden rule allocation. We also show that under the production tax scheme young and elderly agents pay less taxes (or receive more transfers) than under the production tax system.     

Intertemporal Equity and Hartwick's Rule in an Exhaustible Resource Model*

In a standard exhaustible resource model, it is known that if, along a competitive path, investment in the augmentable capital good equals the rents on the exhaustible resource (known as Hartwick's rule), then the path is equitable in the sense that the consumption level is constant over time. In this paper, we show the converse of this result: if a competitive path is equitable, then it must satisfy Hartwick's rule.     

Savings growth and the path of utility

Abstract.  We derive an expression relating the change in instantaneous utility to the growth of net (genuine) saving in an economy with multiple stocks and externalities that maximizes welfare in the utilitarian sense. This result is then shown to hold for decentralized competitive efficient economies as well, to yield an extension of the Hartwick rule: instantaneous utility is non-declining along a development path if genuine saving is decreasing. By way of example the rule is applied as a constant genuine saving rate rule in a simple Dasgupta-Heal-Solow-Stiglitz economy. The rule yields a path with unbounded consumption and higher wealth than on the standard Hartwick constant consumption path.     

Monetary equilibrium in an overlapping generations model with productive capital

Summary We study perfect foresight competitive equilibrium in an overlapping generations model with productive capital and a fixed nominal stock of money. We obtain almost-complete characterizations of (a) the existence of a monetary equilibrium from an arbitrary initial capital stock, and (b) the existence of anefficient monetary equilibrium from an arbitrary initial capital stock. When the initial capital stock is no larger than the golden rule stock, the necessary and sufficient condition for both (a) and (b) is the dynamic inefficiency (in the sense of Malinvaud) of the autarkic (or nonmonetary) equilibrium from the same initial stock. However, this condition, though necessary, isnot sufficient for the existence of a monetary equilibrium when the initial stock exceeds the golden rule stock (and still more conditions are needed for anefficient monetary equilibrium to exist). We provide characterizations for these cases, and as corollaries obtain examples in which (a) the nonmonetary equilibrium is inefficient but no monetary equilibrium exists, and (b) monetary equilibria exist but no efficient monetary equilibrium does.We are grateful to a co-editor and an anonymous referee for comments that greatly improved the exposition in the paper.     

Characterizing the sustainability problem in an exhaustible resource model

We provide a general condition under which consumption can be sustained indefinitely bounded away from zero in the continuous time Dasgupta–Heal–Solow–Stiglitz model, by letting augmentable capital substitute for a non-renewable resource. The assumptions made on the production function are mild, thus generalizing previous work. By showing that Hartwick?s rule minimizes the required resource input per unit of capital accumulation, and integrating the required resource input with respect to capital, we obtain a complete technological characterization without reference to the time path. We also use the characterization result to establish general existence of a maximin path.     

Measuring human development: a stochastic dominance approach

We consider a weighting scheme that yields a best-case scenario for measured human development such as the official equally-weighted Human Development Index (HDI) using an approach that relies on consistent tests for stochastic dominance efficiency. We compare the official equally-weighted HDI to all possible indices constructed from a set of individual components to obtain the most optimistic scenario for development. In the best-case scenario index education is weighted considerably more than the other two components, per capita income and life expectancy, relative to the weight that it gets in the official equally-weighted index. It also turns out that the improvement in the official HDI is mainly driven by improvements over time in the education index, the component moving fastest relative to its targets, when compared with per capita income and life expectancy. We find that the best-case scenario hybrid index leads to a marked improvement of measured development over time when compared with the official equally-weighted HDI.     

Education,Innovation and Long‐Run Growth

We extend a second‐generation Schumpeterian growth model to incorporate human capital accumulation to clarify the general equilibrium effects of subsidy policies on human capital accumulation and R&D activities in a unified framework. Despite the conventional argument that subsidies always stimulate these growth‐promoting activities, we find that subsidies asymmetrically affect human capital accumulation and R&D activities. Our theoretical results suggest that research using standard models of human capital might find false negative relationships between education subsidies and economic growth.     

Sustainability of public debt,public capital formation,and endogenous growth in an overlapping generations setting

Under the golden rule of public finance for public investment with a constant budget deficit/GDP ratio, we show that for the sustainability of government budget deficits there is a threshold of the initial public debt for a given stock of public capital, and that this threshold level of public debt is increasing in the stock of public capital. If the initial public debt is greater than the threshold, the government can no longer sustain budget deficits, while if it is smaller, the government can conduct a permanent deficit policy, which eventually leads to a positive public debt/GDP ratio.     

“Love of wealth” and economic growth

In a Ramsey–Cass–Koopmans growth framework it is shown that for an optimum a benevolent social planner cannot have an excessive “love of wealth”. With a “right” “love of wealth” an optimum exists and implies higher long‐run per‐capita capital, income, and consumption relative to the standard model. This has important implications for comparative development trajectories. The optimum implies dynamic efficiency with the possibility of getting arbitrarily close to the golden rule where long‐run per‐capita consumption is maximal. It is shown that the optimal path attains its steady state more slowly. Thus, the beneficial effects of love of wealth materialize later than in the standard model. Furthermore, the economy can be decentralized as a competitive private ownership economy. One can then identify “love of wealth” with the “spirit of capitalism.” The paper thus implies that one needs a “right” level of the “spirit of capitalism” to realize any beneficial effects for the long run.     

教育人力资本、健康人力资本与地区经济增长差异——基于中国省际面板数据的实证研究

在M-R-W增长模型框架下,将人力资本的内涵扩展至教育和健康两个方面。用教育收益率修正了教育人力资本指标,而健康则主要从投入角度加以测度。应用传统的固定效应模型和动态面板模型(DGMM)估计教育人力资本、健康人力资本对地区经济差异的影响。结果显示,人力资本促使全国省际间人均GDP增长出现明显的"俱乐部"收敛现象,而三大地区内部的经济增长则表现出条件收敛趋势。从教育人力资本产出弹性可以看出,东部地区经济增长的驱动力正从物质资本向人力资本方向转变。以每万人拥有床位数代表的健康人力资本促进了全国及区域范围内的经济增长。     

Impact of Human Capital Endowments on Inequality of Outcomes in Cameroon

This paper evaluates the impact of human capital endowments on measured inequality in Cameroon. We first estimate determinants of household economic well‐being (HEW) in which human capital endowments are considered as endogenous effort‐related regressors, while controlling for exogenous circumstance‐related variables. Second, we simulate alternative counterfactual distributions of HEW: one in which human capital endowments are equalized; and the other in which variations are entirely attributable to the unobservable terms. Finally we compare inequality in the factual distribution of household well‐being with inequality in each of the simulated distributions. Direct and indirect exogenous opportunity‐inducing circumstances are inequality‐augmenting, whereas human capital endowments are inequality‐reducing in the actual distribution. Education and health interventions will ameliorate well‐being and mitigate inequality. Thus, leveling the playing ground for individuals to have equitable exposure to education, health and labor market participation is required for a low‐income country like Cameroon to enhance equity and sustainable household economic growth.     

Pollution control and the Ramsey problem

Pollution is an inevitable by-product of production and is only gradually dissolved by the environment. It can be reduced by producing less and by cleaning up the environment, but neither occur when they are left to the market. Cleaning activities and the optimal emission charges increase with the stock of pollutants. When one allows for pollution of the environment in the classical Ramsey problem, the capital stock is less than in the market outcome and a fortiori less than under the golden rule. The analysis distinguishes between stock and flow externalities arising from pollution. An increase in impatience can lead to more capital accumulation, even though this leaves less room for current consumption.