Optimal balanced growth in a general multi-sector endogenous growth model with constant returns

I will study a multi-sector endogenous growth model with general constant returns to scale technologies and demonstrate the existence, uniqueness and the saddle-path stability of the balanced growth equilibrium. I will first demonstrate the existence of a balanced growth equilibrium, by showing that the balanced growth rate associated with the balanced growth equilibrium is solely determined by solving a Frobenius root problem of the price equations derived from the Euler equations and the property of the nonsubstitution theorem. Then I will show the saddle-path stability of the balanced growth equilibrium without any capital intensity conditions, which is a generalized property proved in the two-sector endogenous growth models by de Guevara et al. (J Econ Dyn Control 21, 115–143, 1997), Bond et al. (J Econ Theory 68, 149–173 1996) and Mino (Int Eco Rev 37, 227–251 1996). The theorem clearly implies that the balanced growth equilibrium has a transition path in the neighborhood of the balanced growth equilibrium. The paper was presented at the conferences “Irregular Growth: Beyond Balanced Growth” held on June 19–21, 2003 in Paris and “Economic Growth and Distribution: On the Nature and Causes of the Wealth of Nations” held on June 16–18, 2004 in Lucca, Italy. From the discussion with Alain Venditti at CNRS-GREQAM, Gerhard Sorger at University of Vienna and the conference participants, I have been benefited much by writing this paper. Especially Alain Venditte had given me a chance to take a look at his unpublished paper titled ” Indeterminacy and the Role of Factor Substitutability” jointly written with Kazuo Nishimura at Kyoto University and published in Macroeconomic Dynamics, Vol. 8. The author also would like to thank an anonymous referee for useful suggestions.     

Planning capital-labor substitution and intertemporal equilibrium with a non-linear multi-sector growth model

A non-linear multi-sector model, postulating sectoral production functions and price-responsive demand functions linked around an input-output matrix in a general equilibrium framework, is used to simulate capital-labor substitution on a growth path characterized by intertemporal equilibrium. It demonstrates how the ‘temporary equilibrium’ or ‘sequential temporary equilibrium’ form of models that allow substitution can be extended into an intertemporally indecomposable equilibrium model without abandoning interaction between prices and quantities in the determination of technology and demand. The model is applied to the analysis of the impact of changes in real-wage growth on the characteristics of the equilibrium growth path of the Turkish economy with special attention given to the employment problem.     

Endogenous technological progress in a multi-sector growth model

This paper presents an endogenous growth model driven by human capital, where human capital can be allocated across three sectors: the production of the final consumption good, the educational sector and the production of technological capital (in the form of knowledge or ideas). In our model, which also includes public expenditure and population growth, labor augmenting technical progress is endogenous and this enriches the transitional dynamics of the economy. With respect to ideas-based growth models, we assume knowledge is produced according to a neoclassical technology, combining ideas and human capital. Such an assumption is motivated by empirical works showing the existence of significant decreasing returns in the creation of ideas at the aggregate level (as Kortum, 1993; and Pessoa, 2005) and of the weak relationship between some inputs of the knowledge production process (as the number of researchers) and the total factor productivity growth rate (as Jones, 2002). Under some general conditions, this economy exhibits the existence of a steady state equilibrium and an unstable multidimensional manifold. Numerical examples are provided to show the existence of stable arms.     

The non-linear effects of life expectancy on economic growth

This paper shows that improvements in life expectancy (LE) had a non-linear effect on income per capita over the 1940-1980 period as this effect was conditional on each country’s initial level of LE. Whereas higher LE had an initial statistically significant negative impact on income per capita in countries with LE under 43 years in 1940, the opposite is true in countries with initial LE over 53 years.     

Brain drain and economic growth: A dynamic model

The problem of the international migration of educated people is analyzed in the context of a dynamic economy where individuals are faced with three basic decisions: education, acquisition of physical capital and migration. The paper discusses the transitional and steady-state behaviour of such an economy, and in addition incorporates a detailed dynamic analysis of the effects of minimum wages and of the implementation of a migration tax.     

Welfare cost of inflation in a stochastic balanced growth model

There is a large and growing literature on the welfare cost of inflation. However, work in this area tend to find moderate estimates of welfare gains. In this paper we reexamine welfare costs of inflation within a stochastic general equilibrium balanced growth model paying a particular attention to recursive utility, portfolio balance effects, and monetary volatility and monetary policy uncertainty. Our numerical analysis shows that a monetary policy that brings down inflation to the optimum level can have substantial welfare effects. Portfolio adjustment effects seem to be the dominant factor behind the welfare gains.     

A discrete model of optimal economic growth

Contrary to most of the literature on optimal economic growth a discrete rather than a continuous model is investigated. It is shown that in such a discrete model it is easy to account for relatively freely changing functions and parameters. Thus, the production function, labor, the investment ratio, and the parameters for time preference, marginal utility, and depreciation are all allowed to depend on time. Using discrete dynamic programming methods, optimal investment policies are determined explicitly. These generalize important results from previous literature on optimal economic growth.     

The dynamic linkages between economic growth,environmental quality and health in Greece

Increasing economic activity ignoring environmental quality may distort economic growth, leading to a negative rate. The expected deterioration of health in the near future may lead to further environmental degradation, with a continuation of a spiral-type path towards worsening growth and efforts to catch up with the developed economies. Τhis article examines the dynamic interdependence between economic activity, health quality and environmental degradation for Greece over the period 1960–2012. We employ Kuznets-type models and apply several co-integration techniques along with Granger causality tests. The results reveal strong causal effects, running from income towards CO₂ and infant mortality. In the multivariate context, a significant long-run impact is directed towards infant mortality, with economic growth performing rather exogenously.     

The non-linear impact of high and growing government external debt on economic growth: A Markov Regime-switching approach

Today, the major reason for external debt is to finance high public deficits. This study aims to examine the relationship between external indebtedness and growth variables. In this context, Markov-switching model is used because it allows the examination of unobservable variables in an observable model and provides steady algorithm to achieve robust optimization by iterations in a dynamic system, and is more flexible than prior models. This paper concentrates on the analysis of Turkey and utilizes the data set for the period of 1974 to 2009. Throughout the analyses, the relationship between growth and external borrowing is examined in terms of public and private external borrowing. Paper yields that, according to results of multivariate dynamic Markov-switching model, the main growth variables such as investment and human capital have positive impact on growth as expected. Findings can be summarized as follows; firstly, public and/or private external borrowing has negative impact on growth both in regime at zero and regime at one. Secondly, the negative impact of public borrowing on economic growth and development is higher than that of private borrowing on economic growth and development. Eventually, the conclusion reveals that the economic development and borrowing variables do not follow a linear path.     

Distributive politics and economic growth: the Markovian Stackelberg solution

Summary. We generalize the result of Alesina and Rodrik (1994) by showing that their static solution is also a time consistent Stackelberg solution of a differential game between the government and the median voter.Received: 11 June 2001, Revised: 7 February 2003, JEL Classification Numbers: O15, O40, E61, C73.We would like to thank Claus Peter Ortlieb, Nikolaus A. Siegfried, and two anonymous referees for useful comments. The first version of this work was written while Holger Strulik was Marie Curie Research Fellow at the Department of Applied Economics, University of Cambridge, U.K. A research grant of the European Commission is gratefully acknowledged. Correspondence to: H. Strulik     

International transmission of the business cycle in a multi-sector model

Standard multi-country models do not replicate important features of the international transmission of business cycles, predicting cross-country correlations of output and consumption which are, respectively, too low and too high. In this paper we modify the supply side of a two-country model by adding multiple sectors and trade in intermediate goods. The model generates a higher cross-country correlation of output than standard one-sector models. It also predicts cross-country correlations of employment and investment that are closer to the data. We analyze the relative impact of multiple sectors, trade in intermediate goods, imperfect substitution between domestic and foreign goods, home preference, capital adjustment costs, and capital depreciation in order to pinpoint the features which move the model's predictions closer to the data.     

Controlling a biological invasion: a non-classical dynamic economic model

This paper analyzes the optimal intertemporal control of a biological invasion. The invasion growth function is non-convex and control costs depend on the invasion size, resulting in a non-classical dynamic optimization problem. We characterize the long run dynamic behavior of an optimally controlled invasion and the corresponding implications for public policy. Both control and the next-period invasion size may be non-monotone functions of the current invasion size; the related optimal time paths may not be monotone or convergent. We provide conditions under which eradication, maintenance control, and no control are optimal policies.      

The myth of a booming town: a two-sector model of Macau economic growth

This paper builds a trade-based equilibrium, two-sector model to reveal the inefficiency of a foreign-dominated, gaming-biased, bubble growth in Macau. This fast GDP growth that has not led to much real development as measured by the effective GNP would likely have adverse impacts on the city's long-term prosperity. We employ the model to analyze why various gaming markets have adopted differing tax rates. This work provides a rigorous argument against the problematic attempts to push for low tax convergence in the Asian gaming market. To neutralize the damaging effects of foreign domination in the local economy, we offer several policy recommendations for reviving home businesses and enhancing domestic welfare in Macau. It is suggested that enforceable laws should be made to prevent the foreign firms with cross-market operations from stealing away Macau customers, that differential taxes on casino operators and income taxes on player winnings should be chosen to support Chinese-owned casinos and curb pathological gambling, and that a sovereign wealth fund should be established to stop too much of Chinese gaming money from being lost too fast and foster Macau's economic autonomy by reducing its overreliance on foreign concerns for output growth.     

The link between economic growth and growth volatility

This paper investigates the relationship between economic growth and growth volatility through simultaneous equations system. By employing the identification through heteroskedasticity method of Rigobon (Rev Econ Stat 85:777–792, 2003) and using a panel of 158 countries over the period 1960–2010, we find that output volatility is detrimental to economic growth, suggesting that stabilization policies to mitigate short-run economic fluctuations contribute to long-run economic growth. And economic growth accelerates output variability, supporting the feedback effects from growth to the volatility. The evidence is robust to a number of sensitivity tests.     

The effect of female and male schooling on economic growth in the Barro-Lee model

Barro and Lee (1994), in an influential empirical study of the determinants of economic growth, find that, whereas growth is positively related to male schooling, it is negatively related to female schooling. Stokey (1994) has suggested that this is largely due to the influence of four Asian countries (Hong Kong, Singapore, Taiwan and Korea) that have very high levels of growth but very low levels of female schooling, and that deleting the female education variable would cast doubt on the statistical significance of the male education variable. Deletion diagnostics and partial scatter plots are analysed to identify influential observations. The sensitivity of the Barro-Lee results to deleting selected countries from the sample and deleting female education from their growth equations is then examined. The results obtained point to the fragile nature of both the significant negative effect of female education and the significant positive effect of male education in the Barro-Lee model. First version received: September 1996/Final version received: December 1998     

Human capital and economic growth revisited: A dynamic panel data study

This paper examines the role of human capital on economic growth by using a large panel of data including 93 countries. Given the cross-sectional character in most of the relevant studies, there is a possibility that when the long-run dynamics are considered, education might not be a significant determinant of growth. Following a dynamic panel data approach, the analysis indicates that education has, indeed, a significant and positive long-run effect on economic growth. Moreover, the size of this effect is stronger as the level of education (primary, secondary, and tertiary) increases. This has a straightforward policy implication that governments taking actions towards an expansion of their higher education may well expect larger gains in terms of higher economic growth in their countries. This is a revised version of a paper presented at the Fifty-first International Atlantic Economic Conference, Athens, Greece, March 13–20, 2001, and also at the conference on Post-Euro Era at the University of Ioannina, Greece, January 27–28, 2000. The authors would like to thank participants in both conferences and, in particular, Nick Apergis for his comments and useful suggestions on earlier drafts. The authors remain responsible for any shortcomings of the paper.     

On the solution of a stochastic optimal growth model

This note discusses a stochastic optimal growth model in which the optimal paths can be obtained by a simple direct argument. The structural characteristics of the model are the infinite horizon, the form of the instantaneous utility function, and uncertainty as a Wiener process in a linear production constraint. The note explains that, for optimality, at each point in time a formally identical problem must be solved. This implies that the optimal saving ratio must be constant.A proof, employing the rules of stochastic calculus, that the ensuing paths are the unique globally optimal paths is also given.We are very grateful to two referees of this journal for their invaluable comments and suggestions.     

Education public financing and economic growth: an endogenous growth model versus evidence

Using an Endogenous Growth Model with physical and human capital and unemployment (Mauro and Carmeci in J Macroecon 25:123–137, 2003), we study the effects of subsidies to education in economic growth. According to the model, we conclude that government subsidies to education only enhance economic growth conditional on unemployment and that this relationship is negatively influenced by unemployment. We provide evidence from a broad panel data of countries that confirms the importance of unemployment in the relationship between subsidies to education and economic growth but dismiss its importance as a direct determinant of economic growth.      

The institutional foundation of China's economic growth

China's economic growth is (undoubtedly, undeniably, unquestionably) regarded as a miracle due to the changes it has brought to the lives of the Chinese as well as to the global economic structure. This paper analyzes China's economic growth from the perspective of institutional reforms. The main argument is that, through the redefinition of property rights, the operation costs of China's planned economy under full public ownership have been reduced dramatically. Human resources have greatly improved in terms of productivity and creativity, thus providing China with competitive advantages in the global market.