Discrete Choice and Complex Dynamics in Deterministic Optimization Problems
AbstractThis papers shows that complex dynamics arise naturally in deterministic discrete choice problems. In particular, we show that if the objective function of a maximization problem can be written as a function of a sequence of discrete variables, and if the (maximized) value function is strictly increasing in an exogenous variable, then for almost all values of the exogenous variable, any optimal path exhibits aperiodic dynamics. This result is applied to a maximization problem with indivisible durable goods as well as to a Ramsey model with an indivisible consumption good. In each model, it is shown that optimal dynamics are almost always complex. These results are illustrated with various numerical examples.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Research Institute for Economics & Business Administration, Kobe University in its series Discussion Paper Series with number DP2011-19.
Length: 24 pages
Date of creation: Apr 2011
Date of revision: Jul 2011
Contact details of provider:
Postal: 2-1 Rokkodai, Nada, Kobe 657-8501 JAPAN
Phone: +81-(0)78 803 7036
Fax: +81-(0)78 803 7059
Web page: http://www.rieb.kobe-u.ac.jp/index-e.html
More information through EDIRC
Discrete choice; Complex dynamics; Chaos; Indivisible goods;
Other versions of this item:
- Kamihigashi, Takashi, 2012. "Discrete Choice And Complex Dynamics In Deterministic Optimization Problems," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 52-69, April.
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University).
If references are entirely missing, you can add them using this form.