Optimal entry to an irreversible investment plan with non convex costs

de Angelis T, Ferrari G, Martyr R, Moriarty J (2016) Center for Mathematical Economics Working Papers; 566.
Bielefeld: Center for Mathematical Economics.

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A problem of optimally purchasing electricity at a real-valued spot price (that is, with potentially negative cost) has been recently addressed in De Angelis, Ferrari and Moriarty (2015) [SIAM J. Control Optim. 53(3)]. This problem can be considered one of irreversible investment with a cost functional which is non convex with respect to the control variable. In this paper we study the optimal entry into this investment plan. The optimal entry policy can have an irregular boundary arising from this non convexity, with a kinked shape.
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de Angelis T, Ferrari G, Martyr R, Moriarty J. Optimal entry to an irreversible investment plan with non convex costs . Center for Mathematical Economics Working Papers. Vol 566. Bielefeld: Center for Mathematical Economics; 2016.
de Angelis, T., Ferrari, G., Martyr, R., & Moriarty, J. (2016). Optimal entry to an irreversible investment plan with non convex costs (Center for Mathematical Economics Working Papers, 566). Bielefeld: Center for Mathematical Economics.
de Angelis, T., Ferrari, G., Martyr, R., and Moriarty, J. (2016). Optimal entry to an irreversible investment plan with non convex costs . Center for Mathematical Economics Working Papers, 566, Bielefeld: Center for Mathematical Economics.
de Angelis, T., et al., 2016. Optimal entry to an irreversible investment plan with non convex costs , Center for Mathematical Economics Working Papers, no.566, Bielefeld: Center for Mathematical Economics.
T. de Angelis, et al., Optimal entry to an irreversible investment plan with non convex costs , Center for Mathematical Economics Working Papers, vol. 566, Bielefeld: Center for Mathematical Economics, 2016.
de Angelis, T., Ferrari, G., Martyr, R., Moriarty, J.: Optimal entry to an irreversible investment plan with non convex costs . Center for Mathematical Economics Working Papers, 566. Center for Mathematical Economics, Bielefeld (2016).
de Angelis, Tiziano, Ferrari, Giorgio, Martyr, Randall, and Moriarty, John. Optimal entry to an irreversible investment plan with non convex costs . Bielefeld: Center for Mathematical Economics, 2016. Center for Mathematical Economics Working Papers. 566.
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