Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function

Content Provider	Semantic Scholar
Author	Kamihigashi, Takashi Roy, Santanu
Copyright Year	2006
Abstract	This paper studies a one-sector optimal growth model with linear utility in which the production function is only required to be increasing and upper semicontinuous. The model also allows for a general form of irreversible investment. We show that every optimal capital path is strictly monotone until it reaches a steady state; further, it either converges to zero, or reaches a positive steady state in finite time and possibly jumps among different steady states afterwards. We establish conditions for extinction (convergence to zero), survival (boundedness away from zero), and the existence of a critical capital stock below which extinction is possible and above which survival is ensured. These conditions generalize those known for the case of S-shaped production functions. We also show that as the discount factor approaches one, optimal paths converge to a small neighborhood of the capital stock that maximizes sustainable consumption.
Starting Page	325
Ending Page	340
Page Count	16
File Format	PDF HTM / HTML
DOI	10.1007/s00199-005-0029-7
Alternate Webpage(s)	http://faculty.smu.edu/sroy/linear.pdf
Alternate Webpage(s)	https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/dp175.pdf
Alternate Webpage(s)	http://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/dp161.pdf
Alternate Webpage(s)	http://faculty.smu.edu/sroy/ETlinear.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s00199-005-0029-7
Volume Number	29
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article