scholarly journals A Discrete Two-Sector Economic Growth Model

2007 ◽  
Vol 2007 ◽  
pp. 1-13
Author(s):  
Wei-Bin Zhang

This paper studies a key model in economic theory—the two-sector growth model—with an alternative utility function. We show that the system has a unique stable equilibrium when the production functions take on the Cobb-Douglas form. We also simulate the model and demonstrate effects of changes in some parameters.

2020 ◽  
Author(s):  
Ramona Ioana Oprea ◽  
Pater Flavius ◽  
Adina Juratoni ◽  
Olivia Bundau

2019 ◽  
Vol 32 (2) ◽  
pp. 123-144 ◽  
Author(s):  
Miguel Alvarez Texocotitla ◽  
M. David Alvarez-Hernández ◽  
Shaní Eneida Alvarez-Hernández

The fundamental purpose of the present research article is to introduce the basic principles of dimensional analysis in the context of the neoclassical economic theory, in order to apply such principles to the fundamental relations that underlay most models of economic growth. In particular, basic instruments from dimensional analysis are used to evaluate the analytical consistency of the neoclassical economic growth model. The analysis shows that an adjustment to the model is required in such a way that the principle of dimensional homogeneity is satisfied. JEL: A12, C02, C65, O40


2009 ◽  
Vol 2009 ◽  
pp. 1-17
Author(s):  
Wei-Bin Zhang

This paper proposes a one-sector multigroup growth model with endogenous labor supply in discrete time. Proposing an alternative approach to behavior of households, we examine the dynamics of wealth and income distribution in a competitive economy with capital accumulation as the main engine of economic growth. We show how human capital levels, preferences, and labor force of heterogeneous households determine the national economic growth, wealth, and income distribution and time allocation of the groups. By simulation we demonstrate, for instance, that in the three-group economy when the rich group's human capital is improved, all the groups will economically benefit, and the leisure times of all the groups are reduced but when any other group's human capital is improved, the group will economically benefit, the other two groups economically lose, and the leisure times of all the groups are increased.


2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Carlo Bianca ◽  
Massimiliano Ferrara ◽  
Luca Guerrini

A further generalization of an economic growth model is the main topic of this paper. The paper specifically analyzes the effects on the asymptotic dynamics of the Solow model when two time delays are inserted: the time employed in order that the capital is used for production and the necessary time so that the capital is depreciated. The existence of a unique nontrivial positive steady state of the generalized model is proved and sufficient conditions for the asymptotic stability are established. Moreover, the existence of a Hopf bifurcation is proved and, by using the normal form theory and center manifold argument, the explicit formulas which determine the stability, direction, and period of bifurcating periodic solutions are obtained. Finally, numerical simulations are performed for supporting the analytical results.


Filomat ◽  
2013 ◽  
Vol 27 (4) ◽  
pp. 515-528 ◽  
Author(s):  
Miodrag Mateljevic ◽  
Marek Svetlik ◽  
Miloljub Albijanic ◽  
Nebojsa Savic

In this paper we give a generalization of the Lagrange mean value theorem via lower and upper derivative, as well as appropriate criteria of monotonicity and convexity for arbitrary function f : (a, b) ( R. Some applications to the neoclassical economic growth model are given (from mathematical point of view).


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