学术报告（廖仲威 10.28）

摘要

This work focuses on stochastic Solow growth models with uncertainties from technology and environmental variation. The uncertainty of technological progress is driven by Lévy processes, which include continuous perturbation and jump growth, while the uncertainty of environmental variability is characterized by Markov chains. First, in fixed environment, we introduce the criterion of stochastic stability and explicitly compute the mean growth rates of capital, total output and capital-labor ratio. Next, taking environmental variation into account, we describe the recurrence of the regime-switching process, and then give the rate of convergence of the system to its stationary distribution and the asymptotic boundedness of pth moment. Finally, a computable example is proposed, which is an economic system with negative and positive environments, to illustrate the effectiveness of our results. This work reveals the impact of various random effects on the main economic quantities and provides insight on stability and mean growth rates of stochastic Solow growth models with uncertainties from technology and environment.