Technology Choice and Saving in the Presence of a
Fixed Adoption Cost
Charles Ka Yui Leung and Chung Yi Tse*
Abstract
This paper explores the relationship between technology choice and saving in the presence of fixed costs of
technology adoption. While richer agents adopt the more productive technology immediately it is available,
poorer agents optimally choose to wait before switching to the better technology. In the interim, they save
more than others and more than in the absence of the prospect of switching to the new technology. The
paper thus provides an explanation for the phenomenon that the saving rate and the growth rate of output
increase over time in the transition.
1. Introduction
Adopting a new technology is costly. When old machines are scrapped, there is a dis-
crete drop in the capital available. If the cost of adopting the more advanced technol-
ogy is sufficiently high, poor agents and countries alike may continue using the less
productive technology despite the availability of the more productive alternative.
1
In
this paper, we study a model of costly technology adoption with endogenous saving
behavior.While previous investigations (e.g., Jones, 1979; Marjit, 1988, 1992, 1994) have
explored the relationship between the fixed cost and technology choice, they did not
model saving behavior explicitly.
2
In the model considered here, agents decide whether
(and when) to adopt the more productive technology, as well as selecting the optimal
consumption and saving paths in the interim.
We modify the standard endogenous growth model developed in Rebelo (1991) to
allow for endogenous timing of technology adoption. For simplicity, we rule out
borrowing and lending altogether. This assumption is perhaps more relevant in prac-
tice than the opposite extreme of a perfect capital market. Undoubtedly, capital
markets are far from perfect even in developed countries, and the problem is all the
more acute in developing ones.
In the analysis that follows, we will restrict attention to the case where there is a
single advanced technology to adopt. In practice, technology adoption is better
described as a continuous process with better technologies becoming available from
time to time. Our analysis can be readily generalized to this more realistic situation,
but the intuition is easier to explain in a model with a single technology to adopt.
The defining characteristic of a dynamic model of technology adoption is regime
switching, from a low-productivity regime to a high-productivity one.With endogenous
saving behavior, we show that the nonconvexity from regime switching gives rise
to an increased saving rate and growth rate of output in the transition to the new
technology. Indeed the path of the increasing saving rate is not continuous and could
Review of Development Economics, 5(1), 40–48, 2001
© Blackwell Publishers Ltd 2001, 108 Cowley Road, Oxford OX4 1JF, UK and 350 Main Street, Malden, MA 02148, USA
*Leung: Chinese University of Hong Kong, Shatin, Hong Kong, China.Tel: (852) 2609-7158; Fax: (852) 2603-
5805; E-mail: charlesl@cuhk.edu.hk.Tse: University of Hong Kong, Pokfulam Road, Hong Kong, China.Tel:
852-2859-1035; Fax: 2548-1152; E-mail: tsechung@econ.hku.hk. The authors are very grateful to Valerie
Bencivenga, William Liu, Priscilla Ng, the anonymous referees, participants of Chinese University Brown
Bag, and especially Chi Chur Chao, E. Kwan Choi, Sugata Marjit, and Bruce Smith for helpful comments.
Tse gratefully acknowledges financial support from HKU URC grant 7157/98H.The usual disclaimer applies.