Optimal control in infinite horizon problems: a Sobolev spaces approach
Abstract
In this paper, we make use of the Sobolev space W1,1 (R+,Rn) toderive at once the Pontryagin conditions for the standard optimalgrowth model in continuous time, including a necessary and sufficienttransversality condition. An application to the Ramsey model is given.We use an order ideal argument to solve the problem inherent to thefact that L1 spaces have natural positive cones with no interior points.Download Info
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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00101140.Length:
Date of creation: Sep 2007
Date of revision:
Publication status: Published, Economic Theory, 2007, 32, 3, 497-509
Handle: RePEc:hal:cesptp:halshs-00101140
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00101140
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Related research
Keywords: Optimal control; Sobolev spaces; Transversality conditions; Order ideal;Other versions of this item:
- Cuong Van & Raouf Boucekkine & Cagri Saglam, 2007. "Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach," Economic Theory, Springer, vol. 32(3), pages 497-509, September.
- LE VAN, Cuong & BOUCEKKINE, Raouf & SAGLAM, Cagri, 2004. "Optimal control in infinite horizon problems: A Sobolev space approach," CORE Discussion Papers 2004089, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Cuong Le Van & Raouf Boucekkine & Cagri Saglam, 2005. "Optimal control in infinite horizon problems : a Sobolev space approach," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197546, HAL.
- Cuong Le Van & Raouf Boucekkine & Cagri Saglam, 2005. "Optimal control in infinite horizon problems : a Sobolev space approach," Cahiers de la Maison des Sciences Economiques b05094, Université Panthéon-Sorbonne (Paris 1).
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
References
References listed on IDEASPlease 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.:
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8024, Universite de Montreal, Departement de sciences economiques.
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Cuong Le Van & Erol Dogan & Cagri Saglam, 2011.
"Optimal timing of regime switching in optimal growth models: A Sobolev space approach,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
halshs-00549165, HAL.
- Dogan, Erol & Le Van, Cuong & Saglam, Cagri, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 97-103, March.
- Erol Dogan & Cuong Le Van & Cagri Saglam, 2010. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Working Papers 16, Development and Policies Research Center (DEPOCEN), Vietnam.
- Cuong Le Van & Erol Dogan & Cagri Saglam, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00639729, HAL.
- Patrice Pieretti & Skerdilajda Zanaj & Benteng Zou, 2012. "On the long run economic performance of small economies," CREA Discussion Paper Series 12-14, Center for Research in Economic Analysis, University of Luxembourg.
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