Local and global dynamics in a discrete time growth model with nonconcave production function
type: Item
instance of: scholarly article
title: Local and global dynamics in a discrete time growth model with nonconcave production function
zbMATH Open document ID: 1257.91029
DOI: 10.1155/2012/536570
author: Serena Brianzoni
author: Cristiana Mammana
author: Elisabetta Michetti
published in: Discrete Dynamics in Nature and Society
publication date: 2013-02-21T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 37N40
zbMATH DE Number: 6137743
Wikidata QID: Q58700631
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/536570
OpenAlex ID: W1982583140
cites work: Q3244472
cites work: Differential savings, factor shares, and endogenous growth cycles
cites work: Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth
cites work: Nonlinear dynamics in a business-cycle model with logistic population growth
cites work: Variable elasticity of substituition in a discrete time Solow-Swan growth model with differential saving
cites work: A Class of Variable Elasticity of Substitution Production Functions
cites work: Equilibrium Dynamics with Many Agents
cites work: Economically optimal policies for the utilization of biologically renewable resources
cites work: Optimal Growth with a Convex-Concave Production Function
cites work: Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function
cites work: A nonsmooth, nonconvex model of optimal growth
cites work: Dynamic Optimization with a Non-Convex Technology: The Case of a Linear Objective Function
cites work: On a spatial Solow model with technological diffusion and nonconcave production function
cites work: Q4871304
cites work: Multistability and cyclic attractors in duopoly games
cites work: Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps
cites work: Q3110150
cites work: Q3769642
Recommended article: Local and Global Dynamics in a Neoclassical Growth Model with Nonconcave Production Function and Nonconstant Population Growth Rate
Recommended article: Q3818082
Recommended article: Local and global bifurcations in an economic growth model with endogenous labour supply and multiplicative external habits
Recommended article: Global dynamics of discrete competitive models with large intrinsic growth rates
Recommended article: A nonlinear stochastic growth model on discrete time domains
Recommended article: Q5124371
Recommended article: Local stability in endogenous growth models
Recommended article: Discontinuous dynamics in profit motivated economic growth models
Recommended article: Equilibrium dynamics in discrete-time endogenous growth models with social constant returns
Recommended article: Global dynamics of neoclassical growth model with multiple pairs of variable delays
description: scientific article; zbMATH DE number 6137743