Multiplicity and stagnation under the Romer model with increasing returns of R&D

This study develops a simple growth model to explain stagnation and non-simple growth patterns by using increasing returns of R&D efficiency. The study adopts a type of the lab-equipment model, namely, the Romer model, where goods are used as R&D input. Here, we assume capital, or durable goods, as the R&D input factor, and R&D efficiency is assumed to be variable. This arrangement yields three steady states, namely: no-growth, low-growth, and high-growth steady states. These trajectories are jumpable. Accordingly, global indeterminacy is obtained. By uniting the numerical analysis, we obtain that all steady states are saddle stable. However, when the increasing R&D efficiency is small, the path converging to a high-growth-rate steady state shows local indeterminacy.     

What to stabilize in the open economy*

We consider the question how “best” to maintain price‐level stability in an open economy, and evaluate three possible policy choices: (a) a constant money growth rate rule; (b) a fixed exchange rate; and (c) a policy of explicit commitment to a price‐level target. In each case we assume that policy is conducted by injecting reserves into or withdrawing reserves from the “banking system.” In evaluating the three regimes, we adopt the criterion that the “best” policy should leave the least scope for indeterminacy and “excessive” economic volatility. In a steady‐state equilibrium, the choice of regime is largely irrelevant; any steady‐state equilibrium under one regime can be duplicated by an appropriate choice of the “control” variable under any other regime. However, we show that the sets of equilibria under the three regimes are dramatically different. When all countries follow the policy of fixing a constant rate of money growth, there are no equilibria displaying endogenously arising volatility and there is no indeterminacy of equilibrium. Under a regime of fixed exchange rates, indeterminacies and endogenously arising fluctuations are impossible if and only if the country with the low “reserve‐to‐deposit” ratio is charged with maintaining the fixed rate. Finally, when one country targets the time path of its price level, under very weak conditions, there will be indeterminacy of equilibrium and endogenously arising volatility driven by expectations.     

Local and global indeterminacy and transition dynamics in a growth model with public goods

Portuguese Economic Journal - This paper studies local and global indeterminacy and transition dynamics in an endogenous growth model where public goods increase production and the...     

On indeterminacy and growth under progressive taxation and productive government spending

We examine the theoretical interrelations between equilibrium (in)determinacy and economic growth in a one‐sector representative‐agent model of endogenous growth with progressive taxation of income and productive flow of public spending. We analytically show that, if the demand‐side effect of government purchases is weaker, the economy exhibits an indeterminate balanced‐growth equilibrium and belief‐driven growth fluctuations when the tax schedule is sufficiently progressive or regressive. If the supply‐side effect of public expenditures is weaker, indeterminacy and sunspots arise under progressive income taxation. In sharp contrast to traditional Keynesian‐type stabilization policies, our analysis finds that raising the tax progressivity may destabilize an endogenously growing economy with fluctuations driven by agents’ self‐fulfilling expectations.     

Transitional Dynamics and Indeterminacy of Equilibria in an Endogenous Growth Model with a Public Input

The authors analyze an endogenous growth model with economy–wide increasing returns, in which a public input is essential for private production. Within such a framework, it is shown that a continuum of equilibria and global indeterminacy can arise for reasonable parameter values, simply due to the presence of endogenous public policy. This can potentially account for "leapfrogging" or retroceding growth experiences. It is demonstrated how fiscal policy can serve as a selection device among different convergent paths.     

A CLOSED‐FORM SOLUTION FOR DETERMINING THE BURDEN OF PUBLIC DEBT IN NEOCLASSICAL GROWTH MODELS

This paper develops a new approach, termed as the stock approach, to calculate the steady‐state output loss caused by public debt in neoclassical growth models. The novelty of our stock approach is that it provides a closed‐form solution to the steady‐state output‐debt relationship. The main conclusion of the paper is that the steady‐state burden of public debt is country‐specific in neoclassical growth models and it decreases with the private saving rate and increases with the population growth rate, with the exception of the special case where Ricardian equivalence holds.     

National labor markets, international factor mobility and macroeconomic instability

We consider a standard two-country environment, where one of the two countries has a rigid labor market, and analyze how global economic integration affects the economies with respect to expectations-driven cycles and steady state welfare. We show that by allowing free capital mobility, equilibrium indeterminacy is exported from the rigid wage country to the world economy. If further liberalization is permitted, by allowing free movements of labor, the scope for indeterminacy is reduced and open labor markets may produce a stabilizing effect on the global macro-economy. Whether this also implies higher welfare in the long run depends on differentials in average firm size across countries, which determines the direction of migration flows.     

Public Expenditure,Environment, and Economic Growth

This paper attempts to develop a model of endogenous growth with special consideration to the role of productive public expenditure in the presence of congestion effect of private capital and environmental pollution. We analyze the properties of the optimal fiscal policy in the steady‐state equilibrium when the level of production of the final good is the source of emission. Government allocates its income tax revenue between pollution abatement expenditure and productive public expenditure. In the steady‐state equilibrium, optimum ratio of productive public expenditure to national income is less than the competitive output share of the public input; and this ratio varies inversely with the magnitude of the emission‐output coefficient. The steady‐state equilibrium appears to be a saddle point; and the market economy growth rate is not necessarily less than the socially efficient growth rate in the steady‐state equilibrium.     

On Indeterminacy and Growth under Progressive Taxation and Utility‐Generating Government Spending

We examine the theoretical interrelations between progressive income taxation and macroeconomic (in)stability in an otherwise standard one‐sector AK model of endogenous growth with utility‐generating government purchases of goods and services. In sharp contrast to traditional Keynesian‐type stabilization policies, progressive taxation operates like an automatic destabilizer that generates equilibrium indeterminacy and belief‐driven fluctuations in our endogenously growing macroeconomy. Unlike the no‐sustained‐growth counterpart, this instability result is obtained regardless of (i) the degree of the public‐spending preference externality and (ii) whether private and public consumption expenditures are substitutes, complements or additively separable in the household's utility function.     

Growth in stages

Existing North–South growth models generally ignore the possibility that the South becomes an innovating high-wage country. The present paper presents an analytically tractable North–South growth model in which the North innovates all the time, while the South is at first engaged in imitation and potentially starts to innovate too, later on. Three interesting results emerge from the analysis. First, a perfect foresight growth equilibrium may fail to exist. Second, there may be global indeterminacy in that both convergence to the steady state of the regime with imitation in the South and switching to the regime with innovation in the South represent perfect foresight equilibria. Third, technology policies in the South may have hysteresis effects: a temporary policy may lead the South permanently from imitation-driven to innovation-driven growth.     

Useful Government Spending and Macroeconomic (In)stability under Balanced-Budget Rules

It has been shown that an otherwise standard one‐sector real business cycle model may exhibit indeterminacy and sunspots under a balanced‐budget rule that consists of fixed and “wasteful” government spending and proportional income taxation. However, the economy always displays saddle‐path stability and equilibrium uniqueness if the government finances endogenous public expenditures with a constant income tax rate. In this paper, we allow for productive or utility‐generating government purchases in either of these specifications. It turns out that the previous indeterminacy results remain unchanged by the inclusion of useful government spending. By contrast, the earlier determinacy results are overturned when public expenditures generate sufficiently strong production or consumption externalities. Our analysis thus illustrates that a balanced‐budget policy recommendation which limits the government's ability to change tax rates does not necessarily stabilize the economy against belief‐driven business cycle fluctuations.     

Debt Policy Rules in an Open Economy

In a small open economy model of endogenous growth with public capital accumulation, we examine the effects of a debt policy rule under which the government must reduce its debt–GDP ratio if it exceeds the criterion level. To sustain public debt at a finite level, the government should adjust public spending rather than the income tax rate. The long‐run debt–GDP ratio should be kept sufficiently low to avoid equilibrium indeterminacy. Under sustainability and determinacy, a tighter (looser) debt rule brings welfare gains when the world interest rate is relatively high (low).     

Indeterminate equilibrium growth with product and R&D spillovers

The paper revisits an endogenously growing economy à la Romer (1990) to explore the possibility of local and global indeterminacy where, along with the usual R&D spillover, a manufacturing sector generates a product spillover on R&D. When the product spillover facilitates R&D, the dynamic market equilibrium is unique and determinate. However, when the product spillover is strongly negative on R&D, multiple balanced market equilibria emerge and are therefore globally indeterminate. Furthermore, global indeterminacy coexists with local indeterminacy under the joint condition on the intertemporal elasticity of substitution of consumption. Local indeterminacy also emerges when the product spillover is mildly negative in tandem with a high intertemporal elasticity of substitution. Hence, a dynamic market economy with product spillovers in the R&D sector enriches the understanding of observable growth phenomena, including business and growth cycles and income and growth disparity, among countries with the same economic fundamentals.     

Global indeterminacy in an endogenous-growth model with public capital

This paper studies the patterns of growth in an endogenous-growth model where the labor supply is endogenous and sustained growth arises because the services derived from public capital increase the economic productivity. It is assumed that these services are congested by the number of households in the economy but they are not congested by the units of time that each household devotes to work. With this assumption, the dynamic equilibrium exhibits multiple balanced-growth paths, local and global indeterminacy, and limit cycles under some plausible fiscal policies. Our analysis points out that a large lump-sum tax is a necessary condition to obtain this complex equilibrium dynamic behavior.     

Environmental Ramsey Policy and Sustainable Balanced Growth

We study the link among economic growth, renewable natural resources and environmental policy. The context is a general equilibrium model of endogenous growth and environmental policy. We examine the conditions under which sustainable growth is both feasible and optimal, where the latter takes the form of second‐best optimal environmental Ramsey policies. We also investigate the conditions for an inverted U‐shaped relation between environmental policies and sustainable growth. We show that the combination of environmental production externalities and second‐best optimal Ramsey policies can lead to both local and global indeterminacy. The introduction of environmental policy, although well‐intentioned and designed to correct for market inefficiencies, triggers an expectations coordination problem; thereby differences in environmental quality and economic growth can be explained among countries with the same fundamentals.     

Can productive government spending be a source of equilibrium indeterminacy?

This paper presents an examination of the interaction between indeterminacy and productive government spending financed by taxes in a one-sector growth model. In the paper, we show that the possibility of indeterminacy is positively affected by dependence on income tax financing and is negatively affected by consumption tax financing. Under balanced budget rules, a key determinant for indeterminacy is a revenue source for providing public services (i.e. income tax financing) rather than the presence of productive government spending.     

Ramsey fiscal policy and endogenous growth

This paper examines the effects of fiscal policies on capital accumulation and economic performance in a simple endogenous growth model with elastic labor supply by focusing on the implementability of a competitive equilibrium with productive public spending and distortionary taxation. Given a feasible exogenous fiscal policy, productive public spending can, at first, lead to positive short-run and long-run growth in the unique competitive equilibrium. However, although strictly positive growth is possible in the short run, a Ramsey policy with productive public spending does not implement positive capital accumulation in the long run. Also, the local indeterminacy of Ramsey allocations, in conjunction with the global multiplicity, arises as an implementable competitive equilibrium with Ramsey policies: namely, a continuum of transitional dynamics and multiple balanced growth paths. I am grateful to Kazuo Nishimura, Theodore Palivos, Sang Hee Won, John Conlon, Apostolis Philippopoulos, Arved Ashby, In Ho Lee, Katsuaki Terasawa, and an anonymous referee of this journal for valuable comments and suggestions. I also thank seminar participants at Ioannina University, Kyoto University, University of Mississippi, and Seoul National University. This paper is supported by 2006 Sabbatical Project, Kyung Hee University.     

Banknotes And Economic Growth

Modern paper currency contributes little to productive investment. This shortcoming is not inherent to paper money. It stems from the fact that currency today is monopolistically supplied by public monetary authorities that are poor intermediaries. Commercial banknotes may, in contrast, support efficient intermediation, just as private bank deposits do. We demonstrate this advantage in an endogenous growth model, and use the model to simulate, for a sample of developing countries, steady‐state growth‐rate gains from various degrees of banknote deregulation. The simulated gains are generally large compared with those from conventional forms of financial liberalization.     

Intergenerational Complementarities in Education,Endogenous Public Policy,and the Relation Between Growth and Volatility

We construct an overlapping generations model in which parents vote on the tax rate that determines publicly provided education and offspring choose their effort in learning activities. The technology governing the accumulation of human capital allows these decisions to be strategic complements. In the presence of coordination failure, indeterminacy and, possibly, growth volatility emerge. This indeterminacy can be eliminated by an institutional mechanism that commits to a minimum level of public education provision. Given that, in the latter case, the economy moves along a uniquely determined balanced growth path, we argue that such structural differences can account for the negative correlation between volatility and growth.     

Stone–Geary preferences in overlapping generations economies under pure exchange: A note

We incorporate Stone–Geary preferences into an overlapping generations economy under pure exchange, and explore stability, indeterminacy, and cycles with positive levels of saving and nonnegative public debt. A stable nontrivial steady state exists for parameter values, for which there does not exist equilibrium in the model with purely logarithmic utility function. We also show the possibility of a period-doubling bifurcation (a two-cycle).