Abstract: By developing the method of vertical innovation,this paper constructs a four-sector endogenous growth model with the restraint of energy depletion to study the mechanism with which the energy resource depletion and R & D affect the long-run economic growth.The authors solve the social optimum equilibrium of this economic system and discuss the conditions for the existence of balanced growth path,and perform some comparative static analysis to examine the BGP of in what degree the variables and parameters' changes will affect the long-term output growth rate and the energy consumption growth rate.Finally,we draw conclusions and put forward relevant policy recommendations.

Key words: energy restraint, technological progress, endogenous growth, intermediate products

摘要： 本文基于新熊彼特垂直创新的思想,构建了不可再生能源约束下的四部门内生增长模型,较为完整地分析了能源消耗、研发创新与经济可持续增长之间相互作用的内在机理。笔者采用n种连续中间产品产出效率来刻画技术创新,求解并讨论了社会计划最优的均衡增长路径,运用比较静态方法分析了各类参数的长期最优产出增长效应和耗能增长效应,最后得出结论并提出了相关的政策建议和进一步研究的方向。

关键词: 能源约束, 技术进步, 内生增长, 中间产品