Factor Accumulation and Trade: Dynamic Comparative Advantage with Endogenous Physical and Human Capital*

This article develops a two‐country endogenous growth model with accumulation of both physical and human capital. We establish the existence of two‐country balanced growth equilibria with physical and human capital in which a static and dynamic version of the Heckscher–Ohlin (HO) hypothesis hold true. We also show the existence of unbalanced growth equilibria in which the static and dynamic HO hypotheses can be violated. The multiplicity of paths with international trade emerge as a result of the intertemporal no‐arbitrage condition when factor prices are equalized across countries.     

Educational choice, endogenous inequality and economic development

This paper investigates the mechanics through which wealth may, in the long run, trickle down from the rich to the poor. In the presence of indivisibilities in investment of human capital and impossibility of borrowing money, investment in education is financed through an intergenerational transfer. In an OLG model where aggregate production requires capital and both skilled and unskilled labor, it is shown that the long run equilibrium outcome depends on the values of few key parameters. A complete characterization of the steady state is provided. Under some configurations of the parameter values a unique invariant equilibrium exists where inequality vanishes asymptotically. Under others, multiple equilibria exist and the equilibrium outcome crucially depends on the initial conditions of the system. These equilibria are characterized by a negative relationship between inequality and economic development.     

On Ramsey equilibrium: capital ownership pattern and inefficiency

We provide a sufficient condition on the production function under which eventually the most patient household owns the entire capital stock in every Ramsey equilibrium, called the turnpike property. This generalizes the result in the literature which establishes the turnpike property using the capital income monotonicity condition. We then provide an example of a Ramsey equilibrium in which the most patient household reaches a no capital position infinitely often. This is a strong refutation of the turnpike property on Ramsey equilibria. We also show that the constructed Ramsey equilibrium is inefficient in terms of the aggregate consumption stream that it provides.     

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.     

Capital and growth with oligarchic property rights

To analyze effects of imperfect property rights on economic growth, we consider economies where some fraction of capital can be owned only by local oligarchs, whose status is subject to political risk. Political risk decreases local capital and wages. Risk-averse oligarchs acquire safe foreign assets for insurance, thus increasing wages in other countries that protect outside investors. We show that for empirically reasonable parameter values, reforms to decrease political risk or to protect more outsiders' investments can decrease local oligarchs' welfare by increasing wages, making such reforms prone to political resistance from the ruling elite. We suggest measures of property rights imperfections derived from empirically observable data, and we test the quantitative predictions of our model using those measures and other parameter values routinely assumed in growth theory.     

Differences in growth with international capital markets and financial innovation

This paper presents a model in which technological progress affects the productivity of the financial sector. When technological progress moves quicky, the financial intermediation costs are low, which increases the incentives to invest in new technology. This feedback process involves two types of long-run equilibria: one with low financial intermediation costs and high growth, and the other with high financial intermediation costs and low growth. These divergences in growth rates among countries hold even in the presence of international capital markets with free capital mobility, a very unusual result in the endogenous growth literature.     

Economic growth and multiple equilibria: A critical note

Recent literature on economic growth points towards the possibility of the existence of multiple equilibria, under certain conditions. In this paper we use a growth model with a public health infrastructure to analyze, in detail, its local dynamics. The discussion of the existence of equilibria in the model reveals that some candidates for equilibria turn out to be non-relevant and are therefore ruled out. Indeed, multiple equilibria may only arise under restrictive parameter values, meaning that the so called “growth miracles” in some literature may be less likely to occur. Numerical computations illustrate that each relevant equilibrium exhibits local saddle-path stability.     

Structural Change and Growth in a NEG Model

This paper presents a New Economic Geography model of structural change, agglomeration and growth. Assuming a non‐homothetic preference structure, our results show that a progressive reduction of trade costs allows the economy to pass from a pre‐industrialized to an industrialized stage and then, within the latter, from a dispersed to an urbanized regime. However, the introduction of capital accumulation and the dynamic setting of our model opens the door to a richer set of implications. First, an additional stage is introduced as, for some intermediate values of trade costs, a multiple equilibria regime emerges with simultaneously stable symmetric and core‐periphery equilibria. Second, the introduction of non‐homotheticity introduces a new channel through which growth is affected by trade costs and agglomeration. In particular, integration is always growth‐enhancing while agglomeration is growth‐detrimental.     

On the plausibility of sunspot equilibria

This paper presents a one-sector business cycle model with variable capacity utilization and externalities that stem from aggregate economic activity. It uses a new formulation of the endogenous capital utilization rate in which utilization costs appear in the form of variable maintenance expenses. Indeterminacy arises at approximate constant returns to scale. This result challenges the viewpoint that indeterminacy is empirically implausible. Sunspot driven model fluctuations duplicate a number of stylized facts of the business cycle. Plausible parameter space contains regions in which stationary sunspot equilibria are stable under learning.     

Stability, global dynamics and Markov equilibrium in models of endogenous economic growth

This paper studies the local and global dynamics of two-sector models of endogenous growth with economy-wide external effects and taxes on capital and labor. The local analysis classifies the parameter space depending on the number of stationary solutions and local stability of equilibria. The global analysis shows that if taxes are within certain bounds and the size of the external effects on the average level of human capital is smaller than the share of physical capital, the equilibrium path is monotone and therefore a continuous Markov equilibrium can be constructed.     

Management Ability, Long-run Growth, and Poverty Traps

This study establishes an R&D-based growth model that includes the functional difference between labor and human capital in the production of goods. In our analysis, human capital is used by the managers in the manufacturing process. Such an allocation of human capital yields three possible steady states: endogenous growth, poverty traps, and multiple equilibria. Economies are sorted into these steady states according to the endowments of labor, human capital, and knowledge. Thus, the obtained steady states explain some economic growth patterns, such as polarization and leapfrogging of economies.     

Dynamically inefficient equilibria in the Auerbach-Kotlikoff model

The issue addressed in this paper is how robust dynamically efficient steady state equilibria in a 55 periods overlapping generations economy are to changes in the parametrization of the model. Numerical simulations are used to detect parameter constellations which lead to non Pareto optimal market solutions with the capital stock in excess of the so called Golden Rule level. The results suggest that rather unplausible values of the pure rate of time preference, the intertemporal elasticity of substitution or the annual population growth rate are required to obtain dynamic inefficiency.I would like to thank Prof. Roger Farmer as well as Albert Jäger for reading and commenting on earlier versions of this paper. The numerical model used in this work was programmed by Christian Keuschnigg. I am grateful to him for supplying me generously with his software.     

Competing engines of growth: Innovation and standardization

We study a dynamic general equilibrium model where innovation takes the form of the introduction of new goods whose production requires skilled workers. Innovation is followed by a costly process of standardization, whereby these new goods are adapted to be produced using unskilled labor. Our framework highlights a number of novel results. First, standardization is both an engine of growth and a potential barrier to it. As a result, growth is an inverse U-shaped function of the standardization rate (and of competition). Second, we characterize the growth and welfare maximizing speed of standardization. We show how optimal protection of intellectual property rights affecting the cost of standardization vary with the skill-endowment, the elasticity of substitution between goods and other parameters. Third, we show that, depending on how competition between innovating and standardizing firms is modelled and on parameter values, a new type of multiplicity of equilibria may arise. Finally, we study the implications of our model for the skill premium and we illustrate novel reasons for linking North–South trade to intellectual property rights protection.     

Duplication externalities in an endogenous growth model with physical capital,human capital,and R&D

This paper devises an endogenous growth model with physical capital, human capital and product variety. Differently to previous works, innovation is subject to externalities associated to the duplication of research effort, as well as to R&D spillovers. We provide conditions for the existence of a unique feasible steady-state equilibrium with positive long-run growth. For appropriate parameter values, the transitional dynamics of the model is represented by a two-dimensional stable manifold. Numerical simulations show that the incorporation of duplication externalities significantly increases the ability of the model to fit the observed data.     

THE MECHANICS OF ECONOMIC GROWTH THROUGH CAPITAL ACCUMULATION AND TECHNOLOGICAL PROGRESS*

This study develops a model wherein capital is used in final goods production and research and development (R&D) activities. This arrangement generates changes of the equilibrium capital allocation corresponding to capital endowment, which engenders a regime change from capital based growth with decreasing returns to R&D based perpetual growth. These two growth phases account for the polarization of economies. The model also engenders multiple equilibria on capital allocation—which emerge during the middle stages of capital accumulation—accounting for leapfrogging and the instability of the economic growth of developing countries with medium capital accumulation.     

Inefficient lobbying,populism and oligarchy

This paper analyzes the efficiency consequences of lobbying in a production economy with imperfect commitment. We first show that the Pareto efficiency result found for truthful equilibria of common agency games in static exchange economies no longer holds under these more general conditions. We construct a model of pressure groups where the set of efficient truthful common agency equilibria has measure zero. Second, we show that, under fairly general assumptions, the equilibrium will be biased against the group with the highest productivity of private capital, reflecting the fact that, on the margin, less productive groups find lobbying relatively more rewarding. Finally, as an application, if lobbies representing the “poor” and the “rich” have identical organizational capacities, we show that the equilibrium is biased towards the poor, who have a comparative advantage in politics, rather than in production. If the pressure groups differ in their organizational capacity, both pro-rich (oligarchic) and pro-poor (populist) equilibria may arise, all of which are inefficient with respect to the constrained optimum.     

On the (non-)lattice structure of the equilibrium set in games with strategic substitutes

This paper studies models where the optimal response functions under consideration are not increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be strategic complements. The main result here is that the equilibrium set in such models is a non-empty, complete lattice, if, and only if, there is a unique equilibrium. Indeed, for a given parameter value, a pair of distinct equilibria are never comparable. Therefore, with multiple equilibria, some of the established techniques for exhibiting increasing equilibria or computing equilibria that use the largest or smallest equilibrium, or that use the lattice structure of the equilibrium set do not apply to such models. Moreover, there are no ranked equilibria in such models. Additionally, the analysis here implies a new proof and a slight generalization of some existing results. It is shown that when a parameter increases, no new equilibrium is smaller than any old equilibrium. (In particular, in n-player games of strategic substitutes with real-valued action spaces, symmetric equilibria increase with the parameter.)      

Cooperation in the commons

This paper delineates circumstances in which a first-best cooperative solution can be supported as a subgame perfect equilibrium in a dynamic common property renewable resource game. In a game with nonlinear resource stock effects on cost, we characterize a worst perfect equilibrium that supports cooperation for the widest range of parameter values for the discount rate, resource growth rate, harvest price, and the number of resource exploiters. The strategy profile that we propose is consistent with human behavior observed in experiments and common property resource case studies.We thank seminar participants at the University of Minnesota, the Heartland Environmental and Resource Economics Conference at Iowa State University, Keio University, and two anonymous referees for helpful comments.     

Growth and multiple equilibria: A unique local dynamics

The paper investigates the local dynamics of a simple growth model with a public health factor. A notable feature of the model is that it employs a non-separable utility function between consumption and the level of public health infrastructure (publicly provided health environment). In addition to the effects on utility, an increase in the public health level contributes to labor productivity growth. From a three-dimensional dynamic system that includes physical capital, public health infrastructure and consumption, our model is found to have multiple equilibria (dual steady states) if the deep parameters of the utility function satisfy certain conditions. Then, numerical computations demonstrate that each equilibrium exhibits local saddle-path stability. This result deserves careful attention, as it indicates that the economy experiences a relatively undiversified growth pattern when converging on high- and low-growth equilibria. Our striking result has important implications in the study of growth and development.     

Social security in a Classical growth model

This paper develops a growth model with overlapping generationsof workers who save for life-cycle reasons and Ricardian capitalistswho save from a bequest motive. The population of workers accommodatesgrowth, so that the rate of capital accumulation is endogenousand determines the growth of employment. Two regimes are possible,one in which workers' saving dominates the long run and a secondin which the long-run equilibrium growth rate is determinedcompletely by the capitalist saving function, sometimes calledthe Cambridge equation. The second regime exhibits a versionof the Pasinetti paradox: changes in workers' saving affectthe level, but not the growth rate, of capital in the long run.Applied to social security, this result implies that an unfundedsystem relying on payroll taxes reduces workers' lifetime wealthand saving, creating level effects on the capital stock withoutaffecting its long-run growth rate. These effects are mitigatedby the presence of a reserve fund, various levels of which areexamined. Calibrating the model to realistic parameter valuesfor the US facilitates an interpretation of the controversiesover the percentage of the national wealth originating in life-cyclesaving and the effects of social security on saving. The modelis offered as an analytical framework for the review of currenttopics in fiscal policy, in particular identifying the socialsecurity reserve fund as a potential vehicle for generatingcapital accumulation and effecting a progressive redistributionof wealth.