Dynamics of a two-sector endogenous growth model with intersectoral knowledge spillovers

In a two-sector endogenous growth model with learning by doing and intersectoral knowledge spillovers, we associate local dynamics with the slope of the excess demand curve for a consumption good. Factor intensity determines the income effect, which governs dynamics. We are grateful to an anonymous referee for his/her helpful comments and suggestions.     

Conflict,growth, distribution,and employment: a long-run Kaleckian model

This paper presents a Kaleckian growth model in which (i) the rate of capacity utilization, the profit share, and the rate of employment are adjusted in the medium run, and (ii) the normal rate of capacity utilization and the expected rate of capital accumulation are adjusted in the long run. The long-run equilibrium is a continuum of equilibria and is characterized by hysteresis in that the long-run position of the economy depends on where it starts. An increase in the bargaining power of workers lowers the rate of unemployment in both the medium-run and the long-run equilibrium.     

Fiscal policy,government debt,and economic growth in the Kaleckian model of growth and distribution

This article presents the Kaleckian model of growth and distribution that sets a budget deficit ratio as an indicator of fiscal policy and examines the short- and long-run effects of an increase in budget deficits and a rise in income tax rates on the economy. The key short-run outcomes are as follows. First, expanded budget deficits have a positive effect on the rate of capacity utilization. Second, the tax rate for wage income does not affect the rate of capacity utilization, whereas the tax rate for capital income has a favorable impact on it. This result implies that raising the tax rate for capital income can be an important policy instrument for stimulating the economy. Third, we find that the economy exhibits a wage-led aggregate demand in the short run. The main long-run results are as follows. First, the effect of expanded budget deficits on the growth rate is ambiguous, since a higher debt burden negatively influences the rate of capacity utilization and hence economic growth, despite the increase in demand caused by government borrowing. A higher budget deficit ratio thus raises the growth rate only if a certain condition is satisfied. Second, the tax rate for capital income has a positive impact on the growth rate. Third, the economy shows a wage-led growth in the long run.     

A two-sector overlapping generations model with heterogeneous capital

Summary. This paper characterizes the existence and stability properties of steady state solutions as well as the nature of transition paths of a two-sector growth model with heterogeneous capital. It compares the properties of a Cobb-Douglas–Leontief economy with heterogeneous capital with the properties of the same economy with homogeneous capital. The model with heterogeneous capital reveals a set of characteristics different to those of the model with homogeneous capital. These include the saddle-path stability of the non-trivial steady state as well as the possibility of overshooting and in contrast to the homogeneous capital case, the possibility of damped oscillations along the transition path for realistic parameter values. Received: September 21, 2001; revised version: November 21, 2002 RID="*" ID="*" We thank Costas Azariadis, and Laurie Conway for helpful comments on a previous draft. The paper has substantially benefited from the feedback of an anonymous referee. Correspondence to: R. Wendner     

Distribution shocks in a Kaleckian model with hysteresis and monetary policy

This study presents a dynamic Kaleckian model with different demand and distribution regimes, a monetary policy rule and hysteresis in the natural output level. We analyse the local stability of the steady state and the transitional dynamics in different combinations of demand and distribution regimes. Our model indicates that the initial condition in an economy matters for the steady state selection from multiple ones. Using impulse response function analysis, we show that a temporary shock to the income distribution can cause permanent effects on the dynamics of endogenous variables. Moreover, the degree of hysteresis influences the magnitude of impact on output levels. Monetary policy cannot stabilise output levels in the face of temporary shocks. Finally, we find that in a wage-led demand regime, a rise in inequality of functional income may lead to secular stagnation.     

A model with endogenously determined cycles, discounting and growth

Summary. This article reexamines the role of consumption in growth and emphasises the external effects of aggregate consumption, viewed as consumption standards, as an additional impediment in the growth process. These external effects raise the productivity of the individuals and are positively related to their valuation of the future. Conditions are established under which this results in a marginal value of wealth that is an increasing function of consumption. This brings new types of multiple steady states, local indeterminacies and cyclical motions. Imposing extra homogeneity restrictions, balanced growth solutions with endogenous impatience emerge. The possibility of multiple convergent paths is univocally related to endogenous discount effects. A comparison with a benchmark planning economy indicates an excessive value for the rate of time preference and emphasises its insufficient adaptation to future utility in a stationary setting. Discrepancies along the transition path that rest on endogenous impatience versus fixed discount appear in a non-stationary environment when the competitive balanced growth solution is indeterminate. Received: May 5, 1996; revised version: May 19, 1997     

Fiscal policy and indeterminacy in models of endogenous growth

This paper investigates the dynamic behavior of two-sector models of endogenous growth with sector-specific external effects, and government expenditure financed by distortionary taxation. When this type of external effect is combined with a sufficient degree of capital taxation in a Lucas-Uzawa endogenous growth model, continua of equilibria will emerge in the region of the balanced growth paths. By contrast, indeterminacy is not possible when either sector-specific external effects or factor taxation are added to the model in isolation. In the second part of the paper, we demonstrate that if labor supply is endogenous, indeterminacy can be consistent with much lower degrees of increasing returns to scale. Furthermore, certain types of fiscal policy will be associated with multiple balanced growth paths and the existence of a poverty trap. Finally, in the last part of the paper, we demonstrate that if physical capital is employed in both sectors of the economy, indeterminacy will emerge for varying combinations of factor taxation and external effects, even when returns to scale are constant at the social level.     

Public debt in a basic endogenous growth model

We work out the mechanism that makes public debt affect the allocation of resources in the long-run. To do so we analyze an AK growth model with elastic labor supply and a government sector. The government levies a distortionary income tax and issues bonds to finance lump-sum transfers and non-distortionary public spending. We show that the long-run growth rate is the smaller the higher the debt ratio if the government adjusts public spending to fulfill its inter-temporal budget constraint. If the government adjusts lump-sum transfers the public debt ratio does not affect the balanced growth rate.     

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.     

Market and underground activities in a two-sector dynamic equilibrium model

Summary. In this paper a two sector dynamic general equilibrium model is developed in order to evaluate the implications of the underground economy from a business cycle perspective. There are three main results. First, introducing an underground sector improves the fit of the model to the data, especially along several important labor market dimensions. Second, the model produces substantial internal propagation of temporary shocks. Third, it is shown that underground activities offer risk sharing opportunities by allowing households to smooth income through a proper labor allocation between the two sectors.Received: 17 June 2002, Revised: 25 April 2003, JEL Classification Numbers: E320, E260, J22, H200.We have benefited from the comments and suggestions of John Donaldson. We would also like to thank Paolo Siconolfi, Jean Pierre Danthine, Fausto Gozzi, Edmund Phelps, Gustavo Piga, Domenico Tosato, and the participants in the seminars at various universities, David Giles and Stefano Pisani for providing useful information on the underground data, Francesca Caponi for the comments and the information concerning the legal and fiscal aspects involved in the calibration, and Glenn Williams for the research assistance. Finally, we thank two anonymous referees for helpful comments on this and on earlier versions of the paper. Chiarini acknowledges financial support from the Ateneo Research fund of the University of Rome, La Sapienza, Dinamiche dell'integrazione europea e scelta di politica economica. All errors are ours. Correspondence to: F. Busato     

Technology, demand and distribution: a cumulative growth model with an application to the Dutch productivity growth slowdown

This paper argues that the case for real wage growth restraint,and the consequent restoration of profitability, which the mainstreamconsensus regards as a necessary condition for sustained outputand productivity growth, is based on weak foundations, becauseit neglects the negative impact of wage moderation on productivitygrowth. Using a general Keynesian growth model, which integratesa (wage-led or profit-led) demand regime and a productivityregime (incorporating the productivity-growth enhancing effectsof higher demand and higher real wages), the conditions areidentified under which real wage restraint fails to raise outputand productivity growth. The model is applied empirically tothe Netherlands (1960–2000).     

Schumpeterian and semi‐endogenous productivity growth explanations

This paper examines the nature and sources of productivity growth in South African manufacturing sectors, from an international comparative perspective. On panel data estimations, we find that the evidence tends to support Schumpeterian explanations of productivity growth for a panel of countries including both developed and developing countries, and a panel of South African manufacturing sectors. By contrast, semi‐endogenous productivity growth is supported for a panel of OECD (Organisation for Economic Cooperation and Development) manufacturing sectors. However, we also report evidence that suggests that sectors are not homogeneous. For this reason, time series evidence may be more reliable than panel data. Time series evidence for South Africa suggests that prospects for the sustained productivity growth associated with Schumpeterian innovation processes, is restricted to a narrow set of sectors. For the OECD manufacturing sectors, both semi‐endogenous and Schumpeterian growth finds support. Schumpeterian growth is present for a larger number of sectors than for South Africa, and is most prevalent in the North American economies.     

Stagnation or transformation of a dual economy through endogenous productivity growth

A growth model is developed for an open dual economy. The economyexpands owing to a higher growth rate of labour productivityin the modern sector through the Kaldor–Verdoorn channeland higher effective demand through a Keynesian channel. Themodel incorporates a retardation mechanism affecting the slopesof productivity and output growth schedules as labour surplusand economies of scale diminish. A wage-led or profit-led regimeand initial conditions may give rise to: de-industrializationin terms of both output and employment; a growth trap sustaininga situation of structural heterogeneity; or sustainable employmentand adequate output and productivity growth.     

Business cycles in a two-sector model of endogenous growth

Summary. This paper analyzes the impact of cyclical volatility on long-term economic growth: does growth increase or decrease with increased cyclical volatility? We construct a stochastic two-sector model of endogenous growth to analyze this question in detail. We will show that economic growth is higher in the presence of business cycles, since people devote more time to learning activities in an uncertain economic environment. Human capital is a hedge against future income uncertainty. Hence, the rate of economic growth will be higher in a stochastic environment. Based on a calibration of the model, we find that economic growth increases by 0.46%-point as a result of observed business cycle variability. When account is taken of the interaction between the model's general equilibrium and the cycle, welfare gains (measured in units of a permanent percentage increase in consumption) from eliminating business cycle volatility are approximately 1.87%. Received: January 25, 2000; revised version: November 3, 2000     

A dynamic small open economy model with involuntary unemployment

Abstract It is well known that real business cycle small open economy (SOE) models rely on Greenwood, Hercowitz, and Huffman (1988) preferences to match the countercyclical trade balance observed in open economies, as well as other second moments, while standard preferences à la King, Plosser, and Rebelo (1988) are commonly labelled ‘ineffective,’ owing to their inability to yield the countercyclical trade balance. In this paper, I show that an SOE model with standard preferences and ‘involuntary’ unemployment with efficient risk sharing can obtain a countercyclical trade balance and match main empirical regularities in small open economies.     

Autonomous government expenditure growth,deficits, debt,and distribution in a neo-Kaleckian growth model

This article is linked to some recent attempts at including a noncapacity creating autonomous expenditure category as the driver and determinant of growth into Kaleckian distribution and growth models. Whereas previous contributions have focussed on taming Harrodian instability, generated by the deviation of the goods market equilibrium rate of capacity utilization from a normal or target rate, we rather focus on the so-far neglected issues of deficit, debt, and distribution dynamics in such models. For this purpose, we treat the growth of government expenditures on goods and services, financed by credit creation, as the exogenous growth rate driving the system. We examine the long-run convergence of the system toward such a growth rate, analyze the related debt dynamics, and deal with stability and income distribution issues. Finally, we touch upon the economic and, in particular, fiscal policy implications of our model results.     

Culture and human capital in a two-sector endogenous growth model

Recent literature in the field of cultural economics highlights a possible inversion in the usual causality relation (from economic growth to culture) and points out that culture may represent an important driver of economic growth. By viewing culture in line with Throsby’s (2001) definition of cultural capital (i.e., an asset of tangible and intangible cultural expressions), in this article we analyze one possible channel through which culture may positively affect economic growth, namely the existence of a relationship of complementarity between cultural and human capital investments. Using a two-sector endogenous growth model, we find that in the long run a higher growth rate of real per-capita income can be attained the more cultural and human capital investments are complementary for each other in the process leading to agents’ skill acquisition. We also analyze the conditions under which an increase of the cultural capital share in total GDP can be conducive to a rise of real per-capita income.     

Vintage capital and the dynamics of the AK model

This paper analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed between investment and growth rates time series. To characterize the optimal solutions of the model we develop analytical and numerical methods that should be of interest for the general resolution of endogenous growth models with vintage capital.     

Adding cycles into the neoclassical growth model

We propose a stochastic Solow growth model where a cyclical component is added to the total factor productivity process. Theoretically, an important feature of the model is that its main equation takes a state space representation where key parameters can be estimated via an unobserved component approach without involving capital stock measures. In addition, the dynamic properties of the model are mostly unaffected by the newly introduced cyclical component. Empirically, our novel framework is consistent with secular U.S. empirical evidence.     

Dynamic analysis of patent policy in an endogenous growth model

In this paper, we explore the dynamic properties of an endogenous growth model with finite patent length. We show that there exists a unique equilibrium growth path and that this path exhibits damped oscillations in contrast to the equilibrium path of an endogenous growth model with infinite patent length. We also examine the effects of patent policy on social welfare and show that infinite patent length does not maximize social welfare. Furthermore, we show that, in a growth model that does not exhibit scale effects, a finite patent length maximizes social welfare on the balanced growth path.