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Viscosity solutions to delay differential equations in demo-economy Author info | Abstract | Publisher info | Download info | Related research | Statistics Fabbri, Giorgio
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Economic and demographic models governed by linear delay differential equations are expressed as optimal control problems in infinite dimensions. A general objective function is considered and the concavity of the Hamiltonian is not required. The value function is a viscosity solution of the Hamilton-Jacobi-Bellman (HJB) equation and a verification theorem is proved.
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number
2826.
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Date of creation: 08 Aug 2007Date of revision:
Handle: RePEc:pra:mprapa:2826Contact details of provider: Postal: Schackstr. 4, D-80539 Munich, Germany Phone: +49-(0)89-2180-2219 Fax: +49-(0)89-2180-3900 Web page: http://mpra.ub.uni-muenchen.de More information through EDIRC
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Keywords: viscosity solutions delay differential equation vintage models. Find related papers by JEL classification: C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis M30 - Business Administration and Business Economics; Marketing; Accounting - - Marketing and Advertising - - - General O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
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References listed on IDEAS 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.: Raouf Boucekkine & David de la Croix & Omar Licandro, .
"vintage human capital, demographic trends and endogenous growth ,"
Working Papers
2000-02, FEDEA.
[Downloadable!]
Other versions:
Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2000.
"Vintage Human Capital, Demographic Trends and Endogenous Growth ,"
Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper
2000007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
[Downloadable!] Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002.
"Vintage Human Capital, Demographic Trends, and Endogenous Growth ,"
Journal of Economic Theory ,
Elsevier, vol. 104(2), pages 340-375, June.
[Downloadable!] (restricted) Mauro Bambi, 2006.
"Endogenous Growth and Time-to-Build: the AK Case ,"
Economics Working Papers
ECO2006/17, European University Institute.
[Downloadable!]
Other versions: Asea, Patrick K. & Zak, Paul J., 1999.
"Time-to-build and cycles ,"
Journal of Economic Dynamics and Control ,
Elsevier, vol. 23(8), pages 1155-1175, August.
[Downloadable!] (restricted)
Other versions: Raouf, BOUCEKKINE & David de la Croix, 2004.
"Modelling vintage structures with DDEs : principles and applications ,"
Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper
2004004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
[Downloadable!]
Other versions: Boucekkine, Raouf & Licandro, Omar & Paul, Christopher, 1997.
"Differential-difference equations in economics: On the numerical solution of vintage capital growth models ,"
Journal of Economic Dynamics and Control ,
Elsevier, vol. 21(2-3), pages 347-362.
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Other versions: Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005.
"Vintage capital and the dynamics of the AK model ,"
Journal of Economic Theory ,
Elsevier, vol. 120(1), pages 39-72, January.
[Downloadable!] (restricted)
Other versions:
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.
[Downloadable!] 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.
[Downloadable!] Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 1999.
"Vintage Capital and the Dynamics of the AK Model ,"
Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper
2000009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, 2003.
"Vintage capital and the dynamics of the AK model ,"
Documentos del Instituto Complutense de Análisis Económico
0310, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
[Downloadable!] Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, .
"Vintage capital and the dynamics of the AK model ,"
Working Papers
2000-01, FEDEA.
[Downloadable!] 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 & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 2001.
"Numerical solution by iterative methods of a class of vintage capital models ,"
Journal of Economic Dynamics and Control ,
Elsevier, vol. 25(5), pages 655-669, May.
[Downloadable!] (restricted)
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