Product Innovation with Lumpy Investment
AbstractAbstract: This paper considers a firm that has the option to undertake product innovations. For each product innovation the firm has to install a new production plant. We find that investments are larger and occur in a later stadium when more of the old capital stock needs to be scrapped. Moreover, we obtain that the firm’s investments increase when the technology produces more profitable products. We see that the firm in the beginning of the planning period adopts new technologies faster as time proceeds, but later on the opposite happens. Furthermore, we find that the firm does not invest such that marginal profit is zero, but instead marginal profit is negative. Moreover, we find that if the time it takes to double the efficiency of technology is larger than the time it takes for the capital stock to depreciate, the firm undertakes an initial investment. Finally, we show that when demand decreases over time and when fixed investment cost is higher, that the firm invests less throughout the planning period, the time between two investments increases and that the first investment is delayed.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2012-074.
Date of creation: 2012
Date of revision:
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Web page: http://center.uvt.nl
Impuls Control Maximum Principle; Optimal Control; discrete continuous system; state-jumps; product innovation; retrofitting.;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D90 - Microeconomics - - Intertemporal Choice - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-09-30 (All new papers)
- NEP-ENT-2012-09-30 (Entrepreneurship)
- NEP-INO-2012-09-30 (Innovation)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- BOUCEKKINE, RAOUF & SAGLAM , Cagri & VALLÉE, Thomas, 2003.
"Technology adoption under embodiment: a two-stage optimal control approach,"
CORE Discussion Papers
2003055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Boucekkine, Raouf & Saglam, Cagri & Vall Ee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(02), pages 250-271, April.
- BOUCEKKINE, Raouf & SAGLAM, Cagri & VALLEE, Thomas, . "Technology adoption under embodiment: a two-stage optimal control approach," CORE Discussion Papers RP -1702, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf, BOUCEKKINE & Cagri, SAGLAM & Thomas, VALLEE, 2002. "Technology adoption under embodiment : A two-stage optimal control approach," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Chahim, Mohammed & Hartl, Richard F. & Kort, Peter M., 2012. "A tutorial on the deterministic Impulse Control Maximum Principle: Necessary and sufficient optimality conditions," European Journal of Operational Research, Elsevier, vol. 219(1), pages 18-26.
- Mehmet Yorukoglu, 1998. "The Information Technology Productivity Paradox," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 551-592, April.
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