Cycles and chaos in the one-sector growth model with elastic labor supply
- Author(s)
- Gerhard Sorger
- Abstract
It is shown that the discrete-time version of the neoclassical one-sector optimal growth model with endogenous labor supply and standard assumptions on technology and preferences admits periodic solutions of any period as well as chaotic solutions. Solutions with period 2 are possible for any time-preference factor between 0 and 1, whereas the existence of periodic solutions with other periods and the existence of chaotic solutions are only demonstrated by means of a specific example involving strong time-preference. The results are derived via constructive proofs that use Cobb-Douglas production functions.
- Organisation(s)
- Department of Economics
- No. of pages
- 21
- Publication date
- 05-2015
- Austrian Fields of Science 2012
- 502047 Economic theory
- Keywords
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/9795b334-75c3-4b82-8ed8-91caa34aac02