A non convex singular stochastic control problem and its related optimal stopping boundaries
We show that the equivalence between certain problems of singular stochastic control (SSC) and related questions of optimal stopping known for convex performance criteria (see, for example, Karatzas and Shreve (1984)) continues to hold in a non convex problem provided a related discretionary stopping time is introduced. Our problem is one of storage and consumption for electricity, a partially storable commodity with both positive and negative prices in some markets, and has similarities to the finite fuel monotone follower problem. In particular we consider a non convex infinite time horizon SSC problem whose state consists of an uncontrolled diffusion representing a real-valued commodity price, and a controlled increasing bounded process representing an inventory. We analyse the geometry of the action and inaction regions by characterising the related optimal stopping boundaries.
|Date of creation:||14 Mar 2016|
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- Giorgio Ferrari, 2012.
"On an integral equation for the free-boundary of stochastic, irreversible investment problems,"
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.
- Pindyck, Robert S, 1988.
"Irreversible Investment, Capacity Choice, and the Value of the Firm,"
American Economic Review,
American Economic Association, vol. 78(5), pages 969-985, December.
- Pindyck, Robert S., 1986. "Irreversible investment, capacity choice, and the value of the firm," Working papers 1802-86., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Robert S. Pindyck, 1986. "Irreversible Investment, Capacity Choice, and the Value of the Firm," NBER Working Papers 1980, National Bureau of Economic Research, Inc.
- Hélyette Geman & Andrea Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1225-1262, May.
- Blanchet-Scalliet, Christophette & El Karoui, Nicole & Jeanblanc, Monique & Martellini, Lionel, 2008. "Optimal investment decisions when time-horizon is uncertain," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1100-1113, December.
- Helyette Geman & A. Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," Post-Print halshs-00144198, HAL.
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