Dynamical systems arising from infinite time horizon optimization models

Citation
K. Nishimura et A. Venditti, Dynamical systems arising from infinite time horizon optimization models, J DIF EQ AP, 6(6), 2000, pp. 753-773
Citations number
28
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
6
Issue
6
Year of publication
2000
Pages
753 - 773
Database
ISI
SICI code
1023-6198(2000)6:6<753:DSAFIT>2.0.ZU;2-9
Abstract
We study cycles and chaos in economic models. Autonomous dynamical systems are considered through infinite time horizon optimization models. We first show how endogenous fluctuations arise in a multisector optimal growth mode l. Secondly, we consider an extension of this model by allowing direct infl uences of the production activity among agents. This is what economists cal l external effects. We show how indeterminacy, i.e., a multiplicity of equi librium paths from the same initial point, appears.