Local and Global Dynamics in a Neoclassical Growth Model with Nonconcave Production Function and Nonconstant Population Growth Rate

2015 ◽  
Vol 75 (1) ◽  
pp. 61-74 ◽  
Author(s):  
S. Brianzoni ◽  
C. Mammana ◽  
E. Michetti
2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Serena Brianzoni ◽  
Cristiana Mammana ◽  
Elisabetta Michetti

We study the dynamics shown by the discrete time neoclassical one-sector growth model with differential savings while assuming a nonconcave production function. We prove that complex features exhibited are related both to the structure of the coexixting attractors and to their basins. We also show that complexity emerges if the elasticity of substitution between production factors is low enough and shareholders save more than workers, confirming the results obtained while considering concave production functions.


Nonlinearity ◽  
2020 ◽  
Vol 33 (12) ◽  
pp. 6819-6834
Author(s):  
Chuangxia Huang ◽  
Xian Zhao ◽  
Jinde Cao ◽  
Fuad E Alsaadi

2008 ◽  
Vol 12 (2) ◽  
pp. 195-210 ◽  
Author(s):  
MANUEL A. GÓMEZ

This paper characterizes the global dynamics of the saving rate in the neoclassical growth model with CES production. The study is based on qualitative phase-diagram analysis. The analytical conditions characterizing the cases that may arise theoretically depending on the parameters' configuration are obtained. It is well known that the saving rate behaves monotonically if technology is Cobb-Douglas. However, when the elasticity of substitution is nonunitary, the saving rate path may exhibit nonmonotonic behavior.


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