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Robust optimal R&D investment under technical uncertainty in a regime-switching environment
Optimization ( IF 1.6 ) Pub Date : 2020-09-16 , DOI: 10.1080/02331934.2020.1818745 Ming-hui Wang 1, 2 , Nan-jing Huang 2
中文翻译:
体制转换环境下技术不确定性下稳健的最优研发投资
更新日期:2020-09-16
Optimization ( IF 1.6 ) Pub Date : 2020-09-16 , DOI: 10.1080/02331934.2020.1818745 Ming-hui Wang 1, 2 , Nan-jing Huang 2
Affiliation
ABSTRACT
In this paper, we extend the classic optimal research and development (R&D) investment model into the regime-switching environment. We formulate a robust model to obtain the maximal net value function of the R&D project under a family of real-world measures, which can also be regarded as a stochastic differential game. Then, the verification argument is provided. Though we do not find the closed-form solution, we give a numerical simulation to further study the qualities of the solution to our model.
中文翻译:
体制转换环境下技术不确定性下稳健的最优研发投资
摘要
在本文中,我们将经典的最优研发(R&D)投资模型扩展到制度转换环境中。我们制定了一个稳健的模型,以获得研发项目在一系列真实世界度量下的最大净值函数,这也可以看作是随机微分博弈。然后,提供验证参数。虽然我们没有找到封闭形式的解决方案,但我们给出了数值模拟来进一步研究我们模型的解决方案的质量。