Solving Singular Control from Optimal Switching
Author
Abstract
Suggested Citation
DOI: 10.1007/s10690-008-9071-3
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- J. Michael Harrison & Michael I. Taksar, 1983. "Instantaneous Control of Brownian Motion," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 439-453, August.
- Boetius, Frederik & Kohlmann, Michael, 1998. "Connections between optimal stopping and singular stochastic control," Stochastic Processes and their Applications, Elsevier, vol. 77(2), pages 253-281, September.
- Abel, Andrew B. & Eberly, Janice C., 1997. "An exact solution for the investment and value of a firm facing uncertainty, adjustment costs, and irreversibility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 831-852, May.
- Scheinkman, Jose A. & Zariphopoulou, Thaleia, 2001. "Optimal Environmental Management in the Presence of Irreversibilities," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 180-207, January.
- Ioannis Karatzas & Fridrik M. Baldursson, 1996. "Irreversible investment and industry equilibrium (*)," Finance and Stochastics, Springer, vol. 1(1), pages 69-89.
- Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
- Alvarez, Luis H.R., 2011. "Optimal capital accumulation under price uncertainty and costly reversibility," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1769-1788, October.
- Guo, Xin & Pham, Huyên, 2005. "Optimal partially reversible investment with entry decision and general production function," Stochastic Processes and their Applications, Elsevier, vol. 115(5), pages 705-736, May.
- Said Hamadène & Monique Jeanblanc, 2007. "On the Starting and Stopping Problem: Application in Reversible Investments," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 182-192, February.
- Maria B. Chiarolla & Ulrich G. Haussmann, 2005. "Explicit Solution of a Stochastic, Irreversible Investment Problem and Its Moving Threshold," Mathematics of Operations Research, INFORMS, vol. 30(1), pages 91-108, February.
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.- de Angelis, Tiziano & Ferrari, Giorgio, 2014. "A Stochastic Reversible Investment Problem on a Finite-Time Horizon: Free Boundary Analysis," Center for Mathematical Economics Working Papers 477, Center for Mathematical Economics, Bielefeld University.
- Joachim Gahungu and Yves Smeers, 2012. "A Real Options Model for Electricity Capacity Expansion," RSCAS Working Papers 2012/08, European University Institute.
- GAHUNGU, Joachim & SMEERS, Yves, 2011. "A real options model for electricity capacity expansion," LIDAM Discussion Papers CORE 2011044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Giorgio Ferrari, 2012.
"On an integral equation for the free-boundary of stochastic, irreversible investment problems,"
Papers
1211.0412, arXiv.org, revised Jan 2015.
- Ferrari, Giorgio, 2014. "On an integral equation for the free boundary of stochastic, irreversible investment problems," Center for Mathematical Economics Working Papers 471, Center for Mathematical Economics, Bielefeld University.
- Frank Riedel & Xia Su, 2011.
"On irreversible investment,"
Finance and Stochastics, Springer, vol. 15(4), pages 607-633, December.
- Riedel, Frank & Su, Xia, 2006. "On Irreversible Investment," Bonn Econ Discussion Papers 13/2006, University of Bonn, Bonn Graduate School of Economics (BGSE).
- Pekka Matomäki, 2012. "On solvability of a two-sided singular control problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(3), pages 239-271, December.
- Tiziano De Angelis & Salvatore Federico & Giorgio Ferrari, 2014.
"Optimal Boundary Surface for Irreversible Investment with Stochastic Costs,"
Papers
1406.4297, arXiv.org, revised Jan 2017.
- Tiziano De Angelis & Salvatore Federico & Giorgio Ferrari, 2015. "Optimal boundary surface for irreversible investment with stochastic costs," Working Papers - Mathematical Economics 2015-03, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
- Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2014.
"Long-run investment under uncertain demand,"
Economic Modelling, Elsevier, vol. 41(C), pages 80-89.
- Luca Di Corato & Michele Moretto & Sergio Vergalli, 2013. "Long-run Investment under Uncertain Demand," Working Papers 2013.65, Fondazione Eni Enrico Mattei.
- Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2013. "Long-run Investment under Uncertain Demand," Economy and Society 156574, Fondazione Eni Enrico Mattei (FEEM).
- Johnson, Timothy C. & Zervos, Mihail, 2010. "The explicit solution to a sequential switching problem with non-smooth data," LSE Research Online Documents on Economics 29003, London School of Economics and Political Science, LSE Library.
- De Angelis, Tiziano & Ferrari, Giorgio, 2014. "A stochastic partially reversible investment problem on a finite time-horizon: Free-boundary analysis," Stochastic Processes and their Applications, Elsevier, vol. 124(12), pages 4080-4119.
- Tiziano De Angelis & Salvatore Federico & Giorgio Ferrari, 2017. "Optimal Boundary Surface for Irreversible Investment with Stochastic Costs," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1135-1161, November.
- Maria B. Chiarolla & Giorgio Ferrari & Frank Riedel, 2012.
"Generalized Kuhn-Tucker Conditions for N-Firm Stochastic Irreversible Investment under Limited Resources,"
Papers
1203.3757, arXiv.org, revised Aug 2013.
- Chiarolla, Maria B. & Ferrari, Giorgio & Riedel, Frank, 2014. "Generalized Kuhn–Tucker conditions for N-Firm stochastic irreversible investment under limited resources," Center for Mathematical Economics Working Papers 463, Center for Mathematical Economics, Bielefeld University.
- de Angelis, Tiziano & Federico, Salvatore & Ferrari, Giorgio, 2016. "On the Optimal Boundary of a Three-Dimensional Singular Stochastic Control Problem Arising in Irreversible Investment," Center for Mathematical Economics Working Papers 509, Center for Mathematical Economics, Bielefeld University.
- Hamadène, Said & Zhang, Jianfeng, 2010. "Switching problem and related system of reflected backward SDEs," Stochastic Processes and their Applications, Elsevier, vol. 120(4), pages 403-426, April.
- Salvatore Federico & Mauro Rosestolato & Elisa Tacconi, 2018. "Irreversible investment with fixed adjustment costs: a stochastic impulse control approach," Papers 1801.04491, arXiv.org, revised Feb 2019.
- de Angelis, Tiziano & Ferrari, Giorgio, 2016. "Stochastic nonzero-sum games: a new connection between singular control and optimal stopping," Center for Mathematical Economics Working Papers 565, Center for Mathematical Economics, Bielefeld University.
- Hjalmar Böhm & Michael Funke & Nikolaus A. Siegfried, 1999.
"Discovering the Link between Uncertainty and Investment - Microeconometric Evidence from Germany,"
Quantitative Macroeconomics Working Papers
19906, Hamburg University, Department of Economics.
- Hjalmar Boehm & Michael Funke & Nikolaus A. Siegfried, 2000. "Discovering the Link Between Uncertainty and Investment - Microeconometric Evidence from Germany," Econometric Society World Congress 2000 Contributed Papers 0112, Econometric Society.
- Feil, Jan-Henning & Musshoff, Oliver, 2013. "Investment, disinvestment and policy impact analysis in the dairy sector: a real options approach," Structural Change in Agriculture/Strukturwandel im Agrarsektor (SiAg) Working Papers 159229, Humboldt University Berlin, Department of Agricultural Economics.
- Alain Bensoussan & Benoît Chevalier-Roignant, 2019. "Sequential Capacity Expansion Options," Operations Research, INFORMS, vol. 67(1), pages 33-57, January.
- Rena Sivitanidou, 1999. "Does the Theory of Irreversible Investments Help Explain Movements in Office-Commerical Construction?," Working Paper 8659, USC Lusk Center for Real Estate.
More about this item
Keywords
Singular stochastic control; Optimal switching; Dynkin’s game; Reversible investment; Smooth fit principle;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:kap:apfinm:v:15:y:2008:i:1:p:25-45. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.