Capital Accumulation in an Economy with Dynasties and Uncertain Lifetimes

This paper studies how the lack of an annuities market affects savings behavior and intergenerational transfers in a dynastic overlapping generations economy. I find that the answer to this question depends crucially on altruism. On the one hand, if the altruistic bequest motive is operative, then the lack of annuity markets enhances capital accumulation. On the other hand, if the altruistic bequest motive is not operative, the absence of annuity markets can either increase or decrease aggregate savings. I characterize under which conditions capital accumulation is enhanced. I also prove that an overlapping generations economy with altruism and uninsurable lifetime risk faces capital overaccumulation relative to the modified Golden Rule. The efficient allocation corresponding to the modified Golden Rule can be decentralized as a competitive equilibrium by a pay-as-you-go social security system, and this can only be done if individuals are altruistic.     

Current Account, Capital Formation and Terms of Trade Shocks: a Revisit of the Harberger-Laursen-Metzler Effect

This paper extends the Blanchard model of a closed-economy to a three-good (exportable, importable and non-tradable goods) open-economy model with capital accumulation and uncertain lifetimes to study the impacts of terms of trade shocks on the current account. The simulation results show that a model with uncertain lifetimes is more appropriate to describe a small open economy like Taiwan at the steady-state equilibrium than a model with infinite lifetimes. We find that the Harberger-Laursen-Metzler effect is discernible for temporary or permanent terms of trade shocks. Furthermore, the steady state is a saddle point and the speed of convergence of capital and consumption is quite low.     

Illiquid life annuities

In this paper, we consider illiquid life annuity contracts and show that they may be preferred to those illustrated by Yaari. In an overlapping generations economy, liquid life annuities are demanded only if the equilibrium is dynamically inefficient. However, an equilibrium displaying a positive demand for illiquid life annuities is indeed efficient. In this latter case, the welfare at steady state is larger if illiquid life annuity contracts are available.     

资产定价泡沫对经济的影响

本文采用具有技术进步和随机实质资本投资收益率的跨时迭代模型 ,从理论上分析了资产定价泡沫对经济的影响 ,同时对我国转轨时期经济的动态效率进行了实证研究。结果显示 :我国转轨时期经济正从动态无效向动态有效转化 ,在实质资本收益率确定的情况下 ,适当的资产定价泡沫 (如果存在的话 )对我国经济有益 ,会增加人均消费 ,加快我国经济向动态有效转化 ,使资源配置达到Pareto最优 ;在实质资本收益率随机的情况下 ,资产定价泡沫对经济的影响是不确定的 ,其效果依赖于个人对未来投资实质资本收益率的预期 ,因而加强投资者对未来实质资本投资的收益率持乐观态度的信心是至关重要的。     

(In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy

This paper sets up a monetary endogenous growth model with Benhabib–Farmer production externalities for an open economy, and then uses it to investigate the possibility of indeterminacy. Moreover, the paper examines how the monetary authorities will set its optimal anchor of the money growth rate from the viewpoint of welfare maximization. Several main findings emerge from the analysis. First, when investment does not involve adjustment costs, the monetary equilibrium is locally determinate regardless of the strength of the labor externality and the extent of world capital market imperfections. Second, in the presence of investment adjustment costs, the monetary equilibrium may exhibit indeterminacy when the aggregate increasing returns-to-scale in production is sufficiently strong. Third, in the presence of world capital market imperfections, the Friedman rule of a zero nominal interest rate fails to be optimal. Fourth, in the face of perfect world capital markets, the optimal nominal money growth rate is maintained at the rate that is conformable to the Friedman rule, regardless of whether investment involves adjustment costs or not.     

Growth and equilibrium indeterminacy: the role of capital mobility

Summary. The paper presents a human capital driven endogenous growth model which, in general, permits a multiplicity of equilibrium balanced growth paths. It is shown that allowing for perfect capital mobility across countries increases the range of parameter values for which the model permits equilibrium indeterminacy. As opposed to the closed capital markets case, simple restrictions on preferences are no longer sufficient to eliminate the indeterminacy. Intuitively, under perfect capital mobility agents are able to smooth consumption completely. This induces an economy with open capital markets to behave like a closed economy with linear preferences thereby increasing the possibility of equilibrium indeterminacy. Received: 18 November 1998; revised version: 10 August 1999     

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.     

Collateral fluctuations in a monetary economy

This paper studies economy-wide fluctuations that occur endogenously in the presence of monetary and real assets. Using a standard monetary search model, we consider an economy in which agents can increase consumption, over and above what their liquid monetary asset holdings would allow, pledging real assets as collateral for monetary loans. It is shown that, if the liquidation value of real assets is below full market value, a stable cyclical equilibrium can emerge in consumption and capital around the unstable steady state. We also provide conditions for the existence of cycles of higher order, chaos and sunspot equilibria.     

Efficient Dynamic Pollution Taxation in an Uncertain Environment

This paper analyzes efficient pollution taxation within a stochastic model of endogenous growth. Pollution is a by-product of production and causes disutility. Furthermore, the productivity which results from environmental quality is uncertain. This reflects e.g. uncertain capital depreciation induced by natural disasters like hurricanes or floods. This uncertainty is shown to raise an ambiguous impact on the optimal pollution level as well as on optimal environmental taxation. Market equilibrium turns out to be suboptimal, since the households mis-perceive their individual impact on pollution. Conditions for welfare maximizing pollution taxation are stated and it is shown that a direct pollution tax is not appropriate to yield Pareto-optimal growth. Instead, a linear capital income tax together with a linear abatement subsidy build an efficient tax scheme, if secondarily the governmental budget is balanced. Moreover, an increase in the riskiness of environmental productivity may even lead to an increase in the optimal pollution level and to a decrease in optimal environmental taxation, depending predominantly on the preference parameters.      

Macroeconomic implications of a sharing compensation scheme in a model of endogenous growth

This paper develops an endogenous growth model that sheds light on the roles of the revenue-sharing scheme in a macro-economy. We show that a higher sharing ratio attributable to labor unambiguously promotes the equilibrium working time, but has an ambiguous effect on the balanced-growth rate. Of interest, if the economy is characterized by a higher degree of monopoly, a sharing compensation system is more likely to boost the balanced growth rate. In a normative analysis, we show that to remedy the distortions caused by the sharing scheme and market imperfections, the government should provide a subsidy to capital incomes, while it may either tax or subsidize labor incomes.     

Existence and optimality of oligopoly equilibria in linear exchange economies

Summary. We consider a linear exchange economy and its successive replicas. We study the notion of Cournot-Walras equilibrium in which the consumers use the quantities of commodities put on the market as strategic variables. We prove that, generically, if the number of replications is large enough but finite, the competitive behaviour is an oligopoly equilibrium. Then, under a mild condition, which may be interpreted in terms of market regulation and/or market activity, we show that any sequence of oligopoly equilibria of successive replica economies converges to the Walrasian outcome and furthermore that every oligopoly equilibrium of large, but finite, replica is Pareto optimal. Consequently, under the same assumptions on the fundamentals of the economy, one has an asymptotic result on the convergence of oligopoly equilibria to the Walras equilibrium together with a generic existence result for the Cournot-Walras. Received: June 20, 2002; revised version: November 20, 2002 RID="*" ID="*" Part of this paper was written while the second author was visiting the Universidad de Vigo. The support of the department of mathematics is gratefully acknowledged. Correspondence to: J.M. Bonnisseau     

Another reconciliation between economists and forestry experts: OLG-arguments

Foresters often claim that the goal of good forest policy is to have a sustained forest yield, or even a maximum sustainable yield. They also claim that people wish to save a few extra trees for their children. This bequest motive is not modelled in the standard approach to the optimal rotation problem. In this paper, we present a standard version of an overlapping generation model augmented with a simple tree technology. We show in particular that the market equilibrium can be dynamically inefficient, and that a bequest motive in terms of trees can correct for the overaccumulation of capital that causes the inefficiency. The bequest motive also enables us to account for a harvesting intensity varying with age (young people typically cut more than elderly people) in spite of a perfect capital market.The crux of the argument is that a bequest motive is likely to increase the equilibrium interest rate and move the economy away from a maximum sustainable yield policy. It, however, improves efficiency and is able to explain empirical regularities that are not easily explained by a traditional perfect capital market approach to forestry.The author acknowledges comments from Karl-Göran Mäler, Stockholm School of Economics, participants in the economics-forestry economics seminar at the University of Umeå, and two anonymous referees.     

Capital income taxation and perfect foresight

This paper develops a perfect foresight model of capital income taxation in a representative household neoclassical one-sector framework. The household sector is based on intertemporal utility maximization. The main result is the equivalence of a perfect foresight solution and an artificial central planning solution; if there is no tax, this is the equivalence of a market equilibrium and social optinum. The equivalence result is used to deduce the implications of a partial tax reform policy. It is shown that a partial reform increases capital at each time following the initial period of the program.     

On Equilibrium Dynamics Under Externalities in a Model of Economic Development

This paper studies a discrete-time version of a model of economic development proposed by Lucas, in which the average stock of human capital produces a positive externality in the production of the physical capital good. It establishes the existence of equilibrium programmes from arbitrary initial conditions, and of an equilibrium steady-state programme. The principal results are concerned with the global dynamic behaviour of equilibrium programmes off the steady state. They show that the asymptotic growth rates of consumption, physical and human capital on any equilibrium programme will equal the growth rates of the respective variables along the equilibrium steady state
JEL Classification Numbers: C62, D90, O41     

Public investment,national debt,and economic growth: The role of debt finance under dynamic inefficiency

Public investment is a central issue in the dynamic analyses of fiscal policy and economic growth. Debt financing for public investment and its effects have recently received great attention because interest rates have been low, almost invariably remaining below economic growth rates. This paper presents examination of the effects of debt-financed public investment subject to a simple fiscal rule in an overlapping generations model with public capital. This topic includes capital budgeting and the debt–deficit criterion of the Maastricht treaty. We show herein that debt financing for public investment enhances economic growth if an economy is dynamically inefficient and if public capital has a sufficiently large productivity effect. Moreover, it reduces economic growth rates in a dynamically efficient economy. Debt and growth can have a monotonic or non-monotonic relation, depending on the steady-state interest rate, growth rate, and productivity effect of public investment. The findings indicate that debt–growth relations match with controversial empirical evidence. Furthermore, existing generations choose perfect debt finance if dynamic inefficiency exists. In contrast, a balanced budget is preferred in a dynamically efficient economy with low productivity effects of public capital. However, an economy with high productivity effects of public capital might cho ose debt financing. This paper contributes to the elucidation of currently emphasized issues of public investment.     

新古典模型中收入和财富分配持续不平等的动态演化

本文讨论了当个人劳动能力和偏好存在差异的情况下,资本收入和劳动收入分配的差异如何通过遗产机制影响收入和财富分配的持续性不平等程度。论文分析表明:在偏好、个人劳动能力和个人收入的随机冲击的影响下,如果市场是完善的,整个经济系统存在收入和财富分配的稳定不平等状态,而且,这种稳定的不平等状态与初始的财富分配的不平等和一次性的产权配置都是无关的。最后,本文分析了资本收入税和劳动收入税对持续不平等程度的影响,通过分析指出:从长期来看,在劳动能力和初始财富存在差异而偏好没有差异的情况下,征收劳动收入税比征收资本收入税更有利于改善由于能力差异所造成的持续不平等。     

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.     

Growth and optimal policies in an R&D-growth model with imperfect international capital mobility

In this paper, we examine the effects of international capital mobility on innovation, growth, and optimal growth policies in a small open economy with R&D-driven growth. Households can borrow funds from an imperfect international capital market to finance their investment in R&D firms. We show that the economy can reach a higher growth rate if international capital is more mobile. This result is consistent with recent empirical findings. Moreover, we show that the common growth-enhancing policies, such as patent protection and the R&D subsidies, have an additional negative welfare effect when households can access the international capital market. Accordingly, the optimal patent protection and R&D subsidy should be smaller when the degree of international capital mobility is higher.     

Equilibrium in economies with incomplete financial markets

This paper analyses an exchange economy in the absence of Arrow-Debreu complete markets. It is assumed that trading takes place in the sequence of spot markets and futures markets for securities payable in units of account. Unlimited short-selling in securities is allowed. A general equilibrium in such an economy is a set of current and future prices (contingent on uncertain events) and a set of individual plans such that all markets are cleared. The existence of such an equilibrium is proved under usual assumptions. This is in contrast to the case of futures markets for contingent futures commodities where an equilibrium may not exist. The optimality of equilibrium allocations is also discussed.     

The Marshallian Market and the Walrasian Economy. Two Incompatible Bedfellows

The aim of this paper is to question a view which is usually taken for granted, namely that the Marshallian partial equilibrium and Walrasian general equilibrium analysis stand in a relationship of continuity. It will be claimed that the contrary is true: the generalisation of the Marshallian market does not lead to a Walrasian economy or, conversely, the Walrasian economy is not composed of Marshallian markets. To bring this point home, the basic methodological choices underpinning the analysis of the Marshallian market and of the Walrasian economy will be compared. The issue of why no full-fledged Marshallian representation of the economy has arisen which might stand as an alternative to the Walrasian account will also be investigated and a series of reasons for this lack of generalisation of the Marshallian market will be considered. Finally, it will be claimed that if the Marshallian economy concept has no explicit existence, it has nonetheless an implicit one. It forms the background against which a series of reasoning about the working of the economy as a whole, which cannot fit the Walrasian economy framework, are developed. No less prestigious names than those of Keynes, Hicks, Patinkin, Friedman, Clower and Leijonhufvud will be adduced as witnesses.