Equilibrium Points for Optimal Investment with Vintage Capital
The paper concerns the study of equilibrium points, namely the stationary solutions to the closed loop equation, of an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations. Sufficient conditions for existence of equilibrium points in the general case are given and later applied to the economic problem of optimal investment with vintage capital. Explicit computation of equilibria for the economic problem in some relevant examples is also provided. Indeed the challenging issue here is showing that a theoretical machinery, such as optimal control in infinite dimension, may be effectively used to compute solutions explicitly and easily, and that the same computation may be straightforwardly repeated in examples yielding the same abstract structure. No stability result is instead provided: the work here contained has to be considered as a first step in the direction of studying the behavior of optimal controls and trajectories in the long run.
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- R. Boucekkine & F. del Rio & O. Licandro & Luis A. Puch, 2000.
"Vintage Capital and the Dynamics of the AK Model,"
Econometric Society World Congress 2000 Contributed Papers
0436, Econometric Society.
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- Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, 2003. "Vintage capital and the dynamics of the AK model," Documentos de Trabajo del ICAE 0310, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
- Raouf BOUCEKKINE & Omar LICANDRO & Luis A. PUCH & Fernando DEL RIO, 2002. "Vintage Capital And the Dynamics of the AK Model," Economics Working Papers ECO2002/07, European University Institute.
- Boucekkine, Raouf & Del Rio, Fernando & Licandro, Omar, 2000. "Vintage capital and the dynamics of the AK model," CEPREMAP Working Papers (Couverture Orange) 0003, CEPREMAP.
- Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 1999. "Vintage Capital and the Dynamics of the AK Model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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- Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Veliov, V., 2001.
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2001-13, Tilburg University, Center for Economic Research.
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"Anticipation effects of technological progress on capital accumulation: a vintage capital approach,"
Journal of Economic Theory,
Elsevier, vol. 126(1), pages 143-164, January.
- Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Veliov, V.M., 2006. "Anticipation effects of technological progress on capital accumulation : A vintage capital approach," Other publications TiSEM 9a8debb0-5030-46fa-b89e-b, Tilburg University, School of Economics and Management.
- Barucci, Emilio & Gozzi, Fausto, 1998. "Investment in a vintage capital model," Research in Economics, Elsevier, vol. 52(2), pages 159-188, June.
- Emilio Barucci & Fausto Gozzi, 2001. "Technology adoption and accumulation in a vintage-capital model," Journal of Economics, Springer, vol. 74(1), pages 1-38, February.
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