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带休闲的Uzawa-Lucas模型

A Uzawa-Lucas model with leisure

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【作者】 米辉刘先忠

【Author】 Mi Hui Liu Xianzhong Postgraduate; Dept. of Math.,Huazhong Univ. of Sci. & Tech.,Wuhan 430074,China.

【机构】 华中科技大学数学系华中科技大学数学系 湖北武汉430074湖北武汉430074

【摘要】 把休闲引入Uzawa Lucas模型 ,通过动态最优化方法 ,在休闲外生的情况下 ,得出一个三维动力系统 ,并且获得了休闲与均衡经济增长率负相关的结论 ;在休闲内生的情况下 ,得出一个四维动力系统 ,最优休闲时间被确定 ,并且获得了在均衡状态下不存在内生经济增长的结论 ;同时 ,分别讨论了系统的稳定性问题 .

【Abstract】 A three dimensional dynamic system was gained by dynamic optimization under the circumstance of making leisure exogenous. The result showed that its saddle-path was steady. Leisure was negative related to the balanced economic growth rate,output-capital and consumption-capital,but positive related to the balanced wage rate. When endogenous leisure was considered,a four dimensional dynamic system was gained,its stabilization index was two and the steady growth rate would be zero;In this case,the optimal leisure time was determined. It was proved that the optimal leisure time was negative related to the discount rate and capital depreciation rate,but positive related to the efficiency of education devotion.

【基金】 国家自然科学基金资助项目 (6 0 0 74 0 0 8)
  • 【文献出处】 华中科技大学学报(自然科学版) ,Journal of Huazhong University of Science and Technology , 编辑部邮箱 ,2004年04期
  • 【分类号】F224.0
  • 【被引频次】8
  • 【下载频次】190
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