Linear-quadratic stochastic delayed control and deep learning resolution
Author
Abstract
Suggested Citation
DOI: 10.1007/s10957-021-01923-x
Note: View the original document on HAL open archive server: https://hal.science/hal-03145949v3
Download full text from publisher
References listed on IDEAS
- 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.
- Patrick K. Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," NBER Technical Working Papers 0211, National Bureau of Economic Research, Inc.
- Patrick Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," UCLA Economics Working Papers 767, UCLA Department of Economics.
- F. Gozzi & C. Marinelli & S. Savin, 2009. "On Controlled Linear Diffusions with Delay in a Model of Optimal Advertising under Uncertainty with Memory Effects," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 291-321, August.
- M. Bambi & G. Fabbri & F. Gozzi, 2012.
"Optimal policy and consumption smoothing effects in the time-to-build AK model,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 635-669, August.
- Bambi, Mauro & Fabbri, Giorgio & Gozzi, Fausto, 2009. "Optimal policy and consumption smoothing effects in the time-to-build AK model," MPRA Paper 17128, University Library of Munich, Germany.
- Mauro BAMBI & Giorgio FABBRI & Fausto GOZZI, 2010. "Optimal policy and consumption smoothing effects in the time-to-build AK model," LIDAM Discussion Papers IRES 2010029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- M. Bambi & G. Fabbri & F. Gozzi, 2012. "Optimal policy and consumption smoothing effects in the time-to-build AK model," Post-Print hal-01615440, HAL.
- Kydland, Finn E & Prescott, Edward C, 1982.
"Time to Build and Aggregate Fluctuations,"
Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
- Finn E. Kydland & Edward C. Prescott, 1982. "Executable program for "Time to Build and Aggregate Fluctuations"," QM&RBC Codes 4, Quantitative Macroeconomics & Real Business Cycles.
- Finn E. Kydland & Edward C. Prescott, 1982. "Web interface for "Time to Build and Aggregate Fluctuations"," QM&RBC Codes 4a, Quantitative Macroeconomics & Real Business Cycles.
- d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012.
"Business cycle fluctuations and learning-by-doing externalities in a one-sector model,"
Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2009. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Working Papers halshs-00432267, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business Cycle Fluctuations and Learning-by-doing Externalities in a One-sector Model," PSE-Ecole d'économie de Paris (Postprint) hal-00759198, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business Cycle Fluctuations and Learning-by-doing Externalities in a One-sector Model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00759198, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Documents de travail du Centre d'Economie de la Sorbonne 12026, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Venditti, Alain, 2010. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," LERNA Working Papers 10.13.319, LERNA, University of Toulouse.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business Cycle Fluctuations and Learning-by-doing Externalities in a One-sector Model," Post-Print hal-00759198, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Post-Print halshs-00717198, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717198, HAL.
- Fabbri Giorgio & Federico Salvatore, 2014.
"On the Infinite-Dimensional Representation of Stochastic Controlled Systems with Delayed Control in the Diffusion Term,"
Mathematical Economics Letters, De Gruyter, vol. 2(3-4), pages 33-43, November.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Documents de recherche 14-06, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Post-Print hal-01038088, HAL.
- Robert E. Hall, 1977. "Investment, Interest Rates, and the Effects of Stabilization Policies," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 8(1), pages 61-122.
- René Carmona & Jean-Pierre Fouque & Seyyed Mostafa Mousavi & Li-Hsien Sun, 2018. "Systemic Risk and Stochastic Games with Delay," Journal of Optimization Theory and Applications, Springer, vol. 179(2), pages 366-399, November.
- Justin Sirignano & Konstantinos Spiliopoulos, 2017. "DGM: A deep learning algorithm for solving partial differential equations," Papers 1708.07469, arXiv.org, revised Sep 2018.
- Jiequn Han & Ruimeng Hu, 2021. "Recurrent Neural Networks for Stochastic Control Problems with Delay," Papers 2101.01385, arXiv.org, revised Jun 2021.
- Frédéric Zumer & Jacques Le Cacheux & Marc Flandreau, 1998.
"Stability without a pact? Lessons from the European Gold Standard, 1880-1913,"
Sciences Po publications
n°98-01, Sciences Po.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Working Papers hal-01038088, HAL.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- William Lefebvre & Enzo Miller, 2021. "Linear-quadratic stochastic delayed control and deep learning resolution," Working Papers hal-03145949, HAL.
- William Lefebvre & Enzo Miller, 2021. "Linear-quadratic stochastic delayed control and deep learning resolution," Papers 2102.09851, arXiv.org, revised Feb 2021.
- William Lefebvre & Enzo Miller, 2021. "Linear-Quadratic Stochastic Delayed Control and Deep Learning Resolution," Journal of Optimization Theory and Applications, Springer, vol. 191(1), pages 134-168, October.
- Fabbri Giorgio & Federico Salvatore, 2014.
"On the Infinite-Dimensional Representation of Stochastic Controlled Systems with Delayed Control in the Diffusion Term,"
Mathematical Economics Letters, De Gruyter, vol. 2(3-4), pages 33-43, November.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Post-Print hal-01038088, HAL.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Documents de recherche 14-06, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Frédéric Zumer & Jacques Le Cacheux & Marc Flandreau, 1998.
"Stability without a pact? Lessons from the European Gold Standard, 1880-1913,"
Sciences Po publications
n°98-01, Sciences Po.
- Giorgio Fabbri & Salvatore Federico, 2014. "On the infinite-dimensional representation of stochastic controlled systems with delayed control in the diffusion term," Working Papers hal-01038088, HAL.
- Fabbri, Giorgio, 2017.
"International borrowing without commitment and informational lags: Choice under uncertainty,"
Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 103-114.
- Giorgio Fabbri, 2014. "International Borrowing without Commitment and Informational Lags: Choice under Uncertainty," Documents de recherche 14-10, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
- Giorgio Fabbri, 2015. "International Borrowing Without Commitment and Informational Lags: Choice under Uncertainty," AMSE Working Papers 1534, Aix-Marseille School of Economics, France.
- Giorgio Fabbri, 2017. "International borrowing without commitment and informational lags: Choice under uncertainty," Post-Print hal-01505771, HAL.
- Giorgio Fabbri, 2015. "International Borrowing Without Commitment and Informational Lags: Choice under Uncertainty," Working Papers halshs-01191796, HAL.
- Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014.
"Endogenous growth and wave-like business fluctuations,"
Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
- Mauro Bambi & Omar Licandro, "undated". "Endogenous Growth and Wave-Like Business Fluctuation," Working Papers 533, Barcelona School of Economics.
- Mauro Bambi & Cristina Girolami & Salvatore Federico & Fausto Gozzi, 2017.
"Generically distributed investments on flexible projects and endogenous growth,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 521-558, February.
- Mauro Bambi & Cristina Di Girolami & Salvatore Federico & Fausto Gozzi, 2015. "Generically distributed investments on flexible projects and endogenous growth," Working Papers - Mathematical Economics 2015-04, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
- d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014.
"Multiple solutions in systems of functional differential equations,"
Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Documents de travail du Centre d'Economie de la Sorbonne 13007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Herman Jan, 2014. "Multiple Solutions in Systems of Functional Differential Equations," MPRA Paper 54777, University Library of Munich, Germany.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Post-Print halshs-00786419, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2014. "Multiple solutions in systems of functional differential equations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01015386, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2013. "Multiple Solutions in Systems of Functional Differential Equations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00786419, HAL.
- Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Hermen Jan Hupkes, 2014. "Multiple solutions in systems of functional differential equations," Post-Print hal-01015386, HAL.
- Hippolyte d'Albis & Jean-Pierre Drugeon, 2020.
"On Investment and Cycles in Explicitely Solved Vintage Capital Models,"
PSE Working Papers
halshs-02570648, HAL.
- Hippolyte d'Albis & Jean-Pierre Drugeon, 2020. "On Investment and Cycles in Explicitely Solved Vintage Capital Models," Working Papers halshs-02570648, HAL.
- René Carmona & Jean-Pierre Fouque & Seyyed Mostafa Mousavi & Li-Hsien Sun, 2018. "Systemic Risk and Stochastic Games with Delay," Journal of Optimization Theory and Applications, Springer, vol. 179(2), pages 366-399, November.
- Jiequn Han & Ruimeng Hu, 2021. "Recurrent Neural Networks for Stochastic Control Problems with Delay," Papers 2101.01385, arXiv.org, revised Jun 2021.
- Salvatore Federico, 2011. "A stochastic control problem with delay arising in a pension fund model," Finance and Stochastics, Springer, vol. 15(3), pages 421-459, September.
- Bambi, Mauro, 2015. "Time-to-build and the capital structure," Economics Letters, Elsevier, vol. 137(C), pages 222-225.
- Mauro Bambi & Cristina Di Girolami & Salvatore Federico & Fausto Gozzi, 2014. "On the Consequences of Generically Distributed Investments on Flexible Projects in an Endogenous Growth Model," Discussion Papers 14/15, Department of Economics, University of York.
- Hwan C. Lin, 2018. "Computing Transitional Cycles for a Deterministic Time-to-Build Growth Model," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 677-696, March.
- Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008.
"Numerical Solution of Optimal Control Problems with Constant Control Delays,"
Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
- Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes P. Schlöder, 2006. "Numerical solution of optimal control problems with constant control delays," CER-ETH Economics working paper series 06/59, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Kitagawa, Akiomi & Shibata, Akihisa, 2001. "Long gestation in an overlapping generations economy: endogenous cycles and indeterminacy of equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 99-127, February.
- Bambi, Mauro & Gori, Franco, 2014.
"Unifying Time-To-Build Theory,"
Macroeconomic Dynamics, Cambridge University Press, vol. 18(8), pages 1713-1725, December.
- Mauro Bambi, 2008. "Unifying time-to-build theory," CER-ETH Economics working paper series 08/98, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Mauro Bambi, 2006.
"Endogenous growth and time to build: the AK case,"
Computing in Economics and Finance 2006
77, Society for Computational Economics.
- Mauro Bambi, 2006. "Endogenous Growth and Time-to-Build: the AK Case," Economics Working Papers ECO2006/17, European University Institute.
More about this item
Keywords
Linear-quadratic stochastic control; delay; Riccati PDEs; Markowitz portfolio allocation;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-03145949. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.