Search results for "Endogenous growth"
showing 10 items of 14 documents
Special Functions for the Study of Economic Dynamics: The Case of the Lucas-Uzawa Model
2004
The special functions are intensively used in mathematical physics to solve differential systems. We argue that they should be most useful in economic dynamics, notably in the assessment of the transition dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa model, which we solve by the means of Gaussian hypergeometric functions. We show how the use of Gaussian hypergeometric functions allows for an explicit representation of the equilibrium dynamics of the variables in level. In contrast to the preexisting approaches, our method is global and does not rely on dimension reduction.
Neoclassical Convergence Versus Technological Catch-Up : A Contribution for Reaching a Consensus.
2004
http://www.businessperspectives.org/files/ppm/PPM_EN_2004_03pp15_42.pdf; International audience; New macro empirical evidence is provided to assess the relative importance of object andidea gaps in explaining the world income distribution dynamics over a benchmark period of 1960-1985. Results are then extended through 1995. Formal statistical hypothesis tests allow us to discriminatebetween two competing growth models: (i) the standard neoclassical growth model similarto that employed by Mankiw, Romer, and Weil (1992), and (ii) an endogenous growth modelclosely related to the Nelson and Phelps' approach (1966) that emphasizes the importance of technologytransfer in addition to factor accumu…
R&D, Competition and Growth with Human Capital Accumulation Revisited
2012
In this paper, we have presented a generalization of Bucci's (2003) model in which have disentangled the monopolistic mark-up in the intermediate goods sector, the intermediate goods share in the final output and the returns to specialization in order to have a better measurement of competition. Indeed, unlike Bucci (2003), in our model, the measure of competition is completely independent of the intermediate goods share in the final output and the returns to specialization. Our main finding is that, unlike Bucci (2003), we show that the competition does not play any role in growth. This result is explained by the complementarity of innovation and human capital assumed in the research produ…
Endogenous Growth, Capital Utilization and Depreciation
2004
We study the one sector model of growth when a linear production technology is combined with adjustment costs and a technology for capital maintenance. Agents are allowed to under-use the installed capital and to vary the depreciation rate. This economy decides endogenously how much resources devotes to the accumulation of new capital and how much to maintenance and repair activities. We find as striking results that the long-run depreciation and capital utilization rates are positively related to the population growth rate, and that both depend negatively on the intial conditions. The long-run growth rate appears positively correlated with the depreciation rate.
The closed-form solution for a family of four-dimension nonlinear MHDS
2008
In this article we propose a method for solving a general class of four-dimension nonlinear modified Hamiltonian dynamic systems in closed form. This method may be used to study several intertemporal optimization problems sharing a common structure, which involves unbounded technological constraints as well as multiple controls and state variables. The method is developed by solving the first-order conditions associated with the planner's problem corresponding to the Lucas [1988. On the mechanics of economic development. Journal of Monetary Economics 22, 3-42] two-sector model of endogenous growth, and allows for explicitly showing the transitional dynamics of the model. Despite the externa…
From endogenous growth to stationary state: The world economy in the mathematical formulation of the Ricardian system
2016
AbstractWe analyse international trade in a Pasinetti–Ricardo growth model in the world economy scenario in which several small trading countries coexist and international commodity prices are determined by the interplay of supply and demand amongst them. We demonstrate that all the trading countries eventually reach the stationary state, though this process is not monotonic and the dynamics of capital and population may actually push some countries towards the stationary state and others away from it. We also use our model to assess an argument which Malthus employed in the second edition of An Essay on the Principle of Population (1803) to support a policy of agricultural protectionism.
Smith, Marshall and Young on division of labour and economic growth
2003
The aim of this paper is to reconstruct the theory of division of labour and economic growth proposed by Adam Smith and developed by Alfred Marshall and Allyn Young. In their approach division of labour is the main engine of growth and plays a central role in capital accumulation and technological progress. We suggest that, according to their theory: 1) economic growth is endogenous; 2) it has the nature of a cumulative, pathdependent process; and 3) it can be described as a disequilibrium process, supported by competitive forces. We argue that these aspects make the contributions of Smith, Marshall and Young still insightful for the development of growth theory, even in the light of the mo…
Sustainable Growth and Environmental Policies
2000
A model of ecologically sustainable endogenous growth is presented, in which environmental quality has a positive influence on individual welfare and on the productivity of capital. The effect of different environmental policies on the long-run growth of the economy is studied in the framework of this model. The results establish that an optimal policy which taxes production and subsidies pollution abatement has a favourable effect on environmental quality, and could increase the growth rate if the positive external effects of the environment on the productivity are important. Furthermore, it is shown that this kind of environmental policy is neutral in budgetary terms, i.e. tax receipts ar…
Optimal growth and land preservation
1997
A model of optimal economic growth with a constant population subject to a constraint on the availability of land is presented. It takes account of the dual character of land as a production factor and as a consumption good (environmental amenities) by determining the optimal intertemporal allocation of land between productive and recreational uses. An extension of the analysis for the case of a growing population with endogenous growth based on human capital accumulation shows that if the rate of discount is not very low then there exists a set of balanced growth paths compatible with a constant allocation of land. En este trabajo se presenta un modelo de crecimiento económico óptimo con u…
Growth vs. Level Effect of Population Change on Economic Development: An Inspection into Human-Capital-Related Mechanisms
2011
This paper studies the different mechanisms and the dynamics through which demography is channeled to the economy. We analyze the role of demographic changes in the economic development process by studying the transitional and the long-run impact of both the rate of population growth and the initial population size on the levels of per capita human capital and income. We do that in an enlarged Lucas-Uzawa model with intergenerational altruism. In contrast to the existing theoretical literature, the long-run level effects of demographic changes, i.e. their impact on the levels of the variables along the balanced growth path, are deeply characterized in addition to the more standard long-run …