Almansour, A. and Insley, M. (2016). The impact of stochastic extraction cost on the value of an exhaustible resource: an application to the Alberta Oil Sands. Energy J. 37, 10.5547/01956574.37.2.aalm.
Bachelier, L. (1900). Theorie de la spéculation. Ann. Sci. Ecole Norm. Sup. (3) 17, 21–86.
Baldursson, F. M. and Karatzas, I. (1996). Irreversible investment and industry equilibrium. Finance Stoch. 1, 69–89.
Bensoussan, A., Yan, Z. and Yin, G. (2012). Threshold-type policies for real options using regime-switching models. SIAM J. Financial Math. 3, 667–689.
Brekke, K. A. and Øksendal, B. (1994). Optimal switching in an economic activity under uncertainty. SIAM J. Control Optimization 32, 1021–1036.
Brennan, M. J. and Schwartz, E. S. (1985). Evaluating natural resource investments. J. Business 58, 135–157.
Buffington, J. and Elliott, R. J. (2002). American options with regime switching. Internat. J. Theoret. Appl. Finance 5, 497–514.
De Angelis, T., Ferrari, G. and Moriarty, J. (2015). A nonconvex singular stochastic control problem and its related optimal stopping boundaries. SIAM J. Control Optimization 53, 1199–1223.
Dellacherie, C. and Meyer, P. A. (1978). Probabilities and Potential. North-Holland, Amsterdam.
Dixit, A. K. and Pindyck, R. S. (1994). Investment Under Uncertainty. Princeton University Press.
Feliz, R. A. (1993). The optimal extraction rate of a natural resource under uncertainty. Econom. Lett. 43, 231–234.
Fenton, C. P. and Nance, P. K. (2011). Subzero commodity prices: why commodity prices fall through the zero bound and where and how it could happen in 2011. J.P. Morgan Global Commodities Research. Available at http://ssrn.com/abstract=1922787.
Fleming, W. H. and Soner, H. M. (2006). Controlled Markov Processes and Viscosity Solutions. Springer, New York.
Geman, H. (2007). Mean reversion versus random walk in oil and natural gas prices. In Advances in Mathematical Finance, Birkhäuser, Boston, MA, pp. 219–228.
Guo, X. (2001). An explicit solution to an optimal stopping problem with regime switching. J. Appl. Prob. 38, 464–481.
Guo, X. and Zervos, M. (2015). Optimal execution with multiplicative price impact. SIAM J. Financial Math. 6, 281–306.
Guo, X. and Zhang, Q. (2004). Closed-form solutions for perpetual American put options with regime switching. SIAM J. Appl. Math. 64, 2034–2049.
Guo, X., Miao, J. and Morellec, E. (2005). Irreversible investment with regime shifts. J. Econom. Theory 122, 37–59.
Hamilton, J. D. (1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57, 357–384.
Insley, M. (2017). Resource extraction with a carbon tax and regime switching prices: exercising your options. Energy Econom. 67, 1–16.
Karatzas, I. and Shreve, S. E. (1998). Methods of Mathematical Finance. Springer, New York.
Lumley, R. R. and Zervos, M. (2001). A model for investments in the natural resource industry with switching costs. Math. Operat. Res. 26, 637–653.
McDonald, R. and Siegel, D. (1986). The value of waiting to invest. Quart. J. Econom. 101, 707–727.
Meyer, P. A. (ed.) (1976). Séminaire de Probailities X (Lecture Notes Math. 511). Springer, Berlin.
Jiang, Z. (2015). Optimal dividend policy when cash reserves follow a jump-diffusion process under Markov-regime switching. J. Appl. Prob. 52, 209–223.
Jiang, Z. and Pistorius, M. (2012). Optimal dividend distribution under Markov regime switching. Finance Stoch. 16, 449–476.
Peskir, G. and Shiryaev, A. (2006). Optimal Stopping and Free-Boundary Problems. Birkhäuser, Basel.
Pindyck, R. S. (1981). The optimal production of an exhaustible resource when price is exogenous and stochastic. Scand. J. Econom. 83, 277–288.
Revuz, D. and Yor, M. (1999). Continuous Martingales and Brownian Motion. Springer, Berlin.
Shreve, S. E. (1988). An introduction to singular stochastic control. In Stochastic Differential Systems, Stochastic Control Theory and Applications, Springer, New York, pp. 513–528.
Skorokhod, A. V. (1989). Asymptotic Methods in the Theory of Stochastic Differential Equations. American Mathematical Society, Providence, RI.
Sotomayor, L. R. and Cadenillas, A. (2011). Classical and singular stochastic control for the optimal dividend policy when there is regime switching. Insurance Math. Econom. 48, 344–354.
Trigeorgis, L. (1996). Real Options: Managerial Flexibility and Strategy in Resource Allocations. MIT Press, Cambridge, MA.
Yin, G. and Xi, F. (2010). Stability of regime-switching jump diffusions. SIAM J. Control Optimization 48, 4525–4549.
Zhang, Q. and Zhu, X. Y. (2009). Valuation of stock loans with regime switching. SIAM J. Control Optimization 48, 1229–1250.
Zhu, C. and Yin, G. (2009). On strong Feller, recurrence, and weak stabilization of regime-switching diffusions. SIAM J. Control Optimization 48, 2003–2031.
Zhu, J. and Yang, H. (2016). Optimal financing and dividend distribution in a general diffusion model with regime switching. Adv. Appl. Prob. 48, 406–422.