1. Delay equivalence in capital accumulation models
- Author
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Caulkins, Jonathan P., Hartl, Richard F., and Kort, Peter M.
- Subjects
Capital formation -- Analysis ,Mathematical optimization -- Analysis ,Universities and colleges -- Analysis ,Economics ,Mathematics - Abstract
To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.jmateco.2010.08.021 Byline: Jonathan P. Caulkins (a), Richard F. Hartl (b), Peter M. Kort (c)(d) Keywords: Capital accumulation; Delayed response; Time-to-build; Time-to-install/deliver; Optimal control Abstract: We study delays in capital accumulation models. Our contribution is threefold. First, we identify a class of models that can be transformed into standard optimal control models without delay. Second, in the single state versions of these models the state trajectory is monotonic in the optimal solution. This is noteworthy given the common belief that adding delays facilitates oscillatory behavior of capital, output and investment. Third, we identify an equivalence result between time-to-install/deliver problems and time-to-build problems. Author Affiliation: (a) Carnegie Mellon University, Qatar Campus, Heinz College's School of Public Policy & Management, School of Information Systems & Management, 5000 Forbes Ave, Pittsburgh, PA 15213, USA (b) University of Vienna, School of Business, Economics, and Statistics, Bruennerstrasse 72, A-1210 Vienna, Austria (c) Tilburg University, Department of Econometrics & Operations Research and CentER, P.O. Box 90153, NL-5000 LE Tilburg, The Netherlands (d) Department of Economics, University of Antwerp, Prinsstraat 13, 2000 Antwerp 1, Belgium Article History: Received 25 March 2010; Revised 8 July 2010; Accepted 30 August 2010 Article Note: (footnote) [star] The authors like to thank an associate editor, two anonymous reviewers, Mauro Bambi, Raouf Boucekkine, Gustav Feichtinger, and Omar Licandro for their helpful comments.
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- 2010