Robust optimal R&D investment under technical uncertainty in a regime-switching environment

References

• Lucas RE. Optimal management of a research and development project. Manage Sci. 1971;17:679–697. doi: https://doi.org/10.1287/mnsc.17.11.679
   Google Scholar
• Aldrich C, Morton TE. Optimal funding paths for a class of risky R&D projects. Manage Sci. 1975;21:491–500. doi: https://doi.org/10.1287/mnsc.21.5.491
   Web of Science ®Google Scholar
• Moawia A. A note on the theory of the firm under multiple uncertainties. Eur J Oper Res. 2016;251:341–343. doi: https://doi.org/10.1016/j.ejor.2015.12.003
   Google Scholar
• Pindyck RS. Investments of uncertain cost. J Financ Econ. 1993;34:53–76. doi: https://doi.org/10.1016/0304-405X(93)90040-I
   Web of Science ®Google Scholar
• Kort PM. Optimal R&D investment of the firm. Oper Res Spektrum. 1998;20:155–164. doi: https://doi.org/10.1007/BF01539764
   Google Scholar
• Pennings E, Lint O. The option value of advanced R&D. Eur J Oper Res. 1997;103:83–94. doi: https://doi.org/10.1016/S0377-2217(96)00283-4
   Web of Science ®Google Scholar
• Whalley AE. Optimal R&D investment for a risk-averse entrepreneur. J Econ Dyn Control. 2011;35:413–429. doi: https://doi.org/10.1016/j.jedc.2009.11.009
   Web of Science ®Google Scholar
• Yu XN, Lan YF, Zhao RQ. Cooperation royalty contract design in research and development alliances: help vs. knowledge-sharing. Eur J Oper Res. 2018;268:740–754. doi: https://doi.org/10.1016/j.ejor.2018.01.053
   Web of Science ®Google Scholar
• Aysun U, Kabukcuoglu Z. Interest rates, R&D investment and the distortionary effects of R&D incentives. Eur Econ Rev. 2019;111:191–210. doi: https://doi.org/10.1016/j.euroecorev.2018.09.006
   Google Scholar
• Baker E, Bosetti V, Salo A. Robust portfolio decision analysis: an application to the energy research and development portfolio problem. Eur J Oper Res. 2020;284:1107–1120. doi: https://doi.org/10.1016/j.ejor.2020.01.038
   Google Scholar
• Aysun U. Volatility costs of R&D. Eur Econ Rev. 2020;122:103365. doi: https://doi.org/10.1016/j.euroecorev.2019.103365
   Google Scholar
• Sotomayor L, Cadenillas A. Explicit solutions of consumption investment problems in financial markets with regime switching. Math Finance. 2009;19:251–279. doi: https://doi.org/10.1111/j.1467-9965.2009.00366.x
   Web of Science ®Google Scholar
• Elliott RJ, Siu TK. Robust optimal portfolio choice under Markovian regime-switching model. Methodol Comput Appl Probab. 2009;11:145–157. doi: https://doi.org/10.1007/s11009-008-9085-3
   Web of Science ®Google Scholar
• Elliott RJ, Siu TK. On risk minimizing portfolios under a Markovian regime-switching Black-Scholes economy. Ann Oper Res. 2010;176:271–291. doi: https://doi.org/10.1007/s10479-008-0448-5
   Web of Science ®Google Scholar
• Zhang X, Kuen ST, Meng Q. Portfolio selection in the enlarged Markovian regime-switching market. SIAM J Control Optim. 2010;48:3368–3388. doi: https://doi.org/10.1137/080736351
   Google Scholar
• Dai M, Zhang Q, Zhu QJ. Trend following trading under a regime switching model. SIAM J Financ Math. 2010;1:780–810. doi: https://doi.org/10.1137/090770552
   Web of Science ®Google Scholar
• Temocin BZ, Weber GW, Azevedo N. Applications of stochastic hybrid systems in finance. Game theory and management. Collected abstracts of papers presented on the Fifth International Conference Game Theory and Management in 2011.
   Google Scholar
• Fu J, Wei J, Yang H. Portfolio optimization in a regime-switching market with derivatives. Eur J Oper Res. 2014;233:184–192. doi: https://doi.org/10.1016/j.ejor.2013.08.033
   Web of Science ®Google Scholar
• Azevedo N, Pinheiro D, Weber GW. Dynamic programming for a Markov-switching jump-diffusion. J Comput Appl Math. 2014;267:1–19. doi: https://doi.org/10.1016/j.cam.2014.01.021
   Web of Science ®Google Scholar
• Chronopoulos M, Lumbreras S. Optimal regime switching under risk aversion and uncertainty. Eur J Oper Res. 2017;256:543–555. doi: https://doi.org/10.1016/j.ejor.2016.06.027
   Web of Science ®Google Scholar
• Savku E, Azevedo N, Weber GW. Optimal control of stochastic hybrid models in the framework of regime switches. In: Pinto A, Zilberman D, editors. Modeling, dynamics, optimization and bioeconomics II. DGS 2014. Cham: Springer; 2017. p. 371–387. (Springer proceedings in mathematics and statistics; vol. 195).
   Google Scholar
• Savku E, Weber GW. A stochastic maximum principle for a Markov regime-Switching jump-Diffusion model with delay and an application to finance. J Optim Theory Appl. 2018;179:696–721. doi: https://doi.org/10.1007/s10957-017-1159-3
   Web of Science ®Google Scholar
• Zhang K, Yang XQ. Power penalty approach to American options pricing under regime switching. J Optim Theory Appl. 2018;179:311–331. doi: https://doi.org/10.1007/s10957-018-1299-0
   Google Scholar
• Wang YZ, Wei YL, Song FM. Uncertainty and corporate R&D investment: evidence from Chinese listed firms. Int Rev Econ Finance. 2017;47:176–200. doi: https://doi.org/10.1016/j.iref.2016.10.004
   Web of Science ®Google Scholar
• Elliott RJ, Aggoun L, Moore JB. Hidden Markov models: estimation and control. Berlin: Springer-Verlag; 1994.
   Google Scholar
• Huchzermeier A, Loch CH. Project management under risk: using the real options approach to evaluate flexibility in R&D. Manage Sci. 2001;47:85–101. doi: https://doi.org/10.1287/mnsc.47.1.85.10661
   Web of Science ®Google Scholar
• Dixit AK, Pindyck RS. Investment under uncertainty. New Jersey: Princeton University Press; 1994.
   Google Scholar
• Ding KW, Chen CY, Huang NJ. Robust mean variance optimization problem under Renyi divergence information. Optimization. 2018;67:287–307. doi: https://doi.org/10.1080/02331934.2017.1394298
   Web of Science ®Google Scholar
• Kara G, Özmen A, Weber GW. Stability advances in robust portfolio optimization under parallelepiped uncertainty. Cent Eur J Oper Res. 2019;27:241–261. doi: https://doi.org/10.1007/s10100-017-0508-5
   Web of Science ®Google Scholar
• Wang MH, Yue J, Huang NJ. Robust mean variance portfolio selection model in the jump-diffusion financial market with an intractable claim. Optimization. 2017;66:1219–1234. doi: https://doi.org/10.1080/02331934.2017.1310212
   Web of Science ®Google Scholar
• Dufour F, Elliott RJ. Filtering with discrete state observations. Appl Math Optim. 1999;40:259–272. doi: https://doi.org/10.1007/s002459900125
   Web of Science ®Google Scholar
• Revuz D, Yor M. Continuous martingales and Brownian motion. Berlin: Springer-Verlag; 1999.
   Google Scholar
• Mataramvura S, ∅ksendal B. Risk minimizing portfolios and HJBI equations for stochastic differential games. Stochastics. 2008;80:317–337. doi: https://doi.org/10.1080/17442500701655408
   Google Scholar
• ∅ksendal B, Sulem A. Applied stochastic control of jump diffusions. Berlin: Springer-Verlag; 2005.
   Google Scholar
• Fleming WH, Rishel RW. Deterministic and stochastic optimal control. Berlin: Springer-Verlag; 1975.
   Google Scholar
• Lima PM, Morgado ML. Efficient computational methods for singular free boundary problems using smoothing variable substitutions. J Comput Appl Math. 2012;236:2981–2989. doi: https://doi.org/10.1016/j.cam.2011.05.024
   Google Scholar