基于R&D技术和环境质量的内生经济增长模型

The Endogenous Growth Model Based on R&D and Environmental Quality

同时考虑R&D技术进步、资源的可耗竭性和环境质量清洁标准的内生经济增长模型,能够更准确地诠释经济、资源、环境的变化路径。构建消费和环境质量效用最大化的目标函数及产品、环境质量和R&D技术等为约束条件的最优控制模型;分析各变量的稳态过程下的动态条件,并对各参数变动时的变量路径进行比较静态分析;运用数值模拟法进一步说明分析结果的正确性。研究结果表明:稳态情况在R&D技术规模报酬递增或递减时都能出现;一些参数发生变动时,环境质量增长率和资源开采增长率的变动情况随R&D技术规模报酬的增减而增减或渐增,即R&D技术的规模报酬情况影响着环境和资源的变化路径。

Endogenous economic growth model which takes into consideration R&D technological progress,resource depletion and environmental quality can more accurately interpret changes of economy, resource and environment. The paper constructed a maximization function of the utility of consumption and an optimal control model with products, environmental quality and R&D technology as constraints. Then it analyzed the dynamic conditions of each variable under static process,and carried out comparative static study of variable paths under conditions of parameter changes. Finally, it further validated the results of the analysis with numerical simulation. The result shows that steady state can appear with the R&D output increasing or decreasing, while the growth rate of environmental quality and resource exploitation are increased or decreased with the returns of R&D technology when some parameters change, which means environment and resources are influenced by the return scales of R&D technology.