A solvable two-dimensional degenerate singular stochastic control problem with non convex costs

de Angelis T, Ferrari G, Moriarty J (2014) Center for Mathematical Economics Working Papers; 531.
Bielefeld: Center for Mathematical Economics.

Diskussionspapier | Veröffentlicht | Englisch
 
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Autor*in
de Angelis, Tiziano; Ferrari, GiorgioUniBi; Moriarty, John
Abstract / Bemerkung
In this paper we provide a complete theoretical analysis of a two-dimensional degenerate non convex singular stochastic control problem. The optimisation is motivated by a storage-consumption model in an electricity market, and features a stochastic real-valued spot price modelled by Brownian motion. We find analytical expressions for the value function, the optimal control and the boundaries of the action and inaction regions. The optimal policy is characterised in terms of two monotone and discontinuous repelling free boundaries, although part of one boundary is constant and and the smooth fit condition holds there.
Stichworte
finite-fuel singular stochastic control; optimal stopping; free boundary; Hamilton- Jacobi-Bellmann equation; irreversible investment; electricity market.
Erscheinungsjahr
2014
Band
531
Seite(n)
28
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2901687

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de Angelis T, Ferrari G, Moriarty J. A solvable two-dimensional degenerate singular stochastic control problem with non convex costs. Center for Mathematical Economics Working Papers. Vol 531. Bielefeld: Center for Mathematical Economics; 2014.
de Angelis, T., Ferrari, G., & Moriarty, J. (2014). A solvable two-dimensional degenerate singular stochastic control problem with non convex costs (Center for Mathematical Economics Working Papers, 531). Bielefeld: Center for Mathematical Economics.
de Angelis, T., Ferrari, G., and Moriarty, J. (2014). A solvable two-dimensional degenerate singular stochastic control problem with non convex costs. Center for Mathematical Economics Working Papers, 531, Bielefeld: Center for Mathematical Economics.
de Angelis, T., Ferrari, G., & Moriarty, J., 2014. A solvable two-dimensional degenerate singular stochastic control problem with non convex costs, Center for Mathematical Economics Working Papers, no.531, Bielefeld: Center for Mathematical Economics.
T. de Angelis, G. Ferrari, and J. Moriarty, A solvable two-dimensional degenerate singular stochastic control problem with non convex costs, Center for Mathematical Economics Working Papers, vol. 531, Bielefeld: Center for Mathematical Economics, 2014.
de Angelis, T., Ferrari, G., Moriarty, J.: A solvable two-dimensional degenerate singular stochastic control problem with non convex costs. Center for Mathematical Economics Working Papers, 531. Center for Mathematical Economics, Bielefeld (2014).
de Angelis, Tiziano, Ferrari, Giorgio, and Moriarty, John. A solvable two-dimensional degenerate singular stochastic control problem with non convex costs. Bielefeld: Center for Mathematical Economics, 2014. Center for Mathematical Economics Working Papers. 531.
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2019-09-06T09:18:36Z
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