劳动生产率增长条件的研究

字数:11164.页数:33  论文编号:TX103

摘    要
从经济学角度研究劳动生产率增长已有许多理论结果，但是通过建立数学模型分析劳动生产率增长的条件，不论其理论假设，还是预设条件，都较为粗糙．本文通过研究中国劳动力增长的数学模型，并建立中国版的Cobb-Douglas生产函数，对已有的劳动生产率增长条件的假设条件进行修改，使其更符合中国劳动力人口的增长趋势，并利用索罗模型修改了另外一个假设条件，得到了劳动生产率增长的数学条件．引入GDP和投资s对劳动生产率增长的影响，通过s可以人为的去控制使得劳动生产率增长．当劳动生产率出现负增长或不增长的时候，通过提高投资s，使得其继续增长，但是增长的时期取决于投资的增量．文章最后对结论做了Matlab实现，在图形中直观地描述了投资对劳动生产率的影响．
本论文从已有的劳动生产率增长条件中得到启发，得到可以通过调整投资改变劳动生产率的结论，和保证初始投资的相对增长率大于劳动力的相对增长率从而使得劳动生产率增加的结论相比较，通过控制投资使得劳动生产率增加更具有可操作性，也更有意义．

关键字：劳动生产率，经济增长，劳动力，投资

  Abstract
From the perspective of the economics，labour productivity growth has many theoretical research results, however , by mathematical models to analyse conditions of labour productivity growth , both of theoretical assumptions and preconditions are more crude． In this paper by the research of mathematical models of the Chinese labour population growth, the establishment of the Chinese version of the production function Cobb-Douglas and the using of Solow model, we obtain mathematical terms of labor productivity growth． We introduce the impact of the GDP and investment  to the growth in labour productivity． It has been concluded that mathematical terms of labor productivity growth, and we use  to artificially control labor productivity to grow． When labor productivity appears grown or negative grown, by increasing investment , we make it continue growing． But the growth period depends on incremental investment． Moreover , in the end of the paper we make Matlab achieve in graphics, and vividly describe the impact of investment on labour productivity．
From the existing labour productivity growth conditions, the paper concludes that adjusting of investment can change productivity． This conclusion is compared with the one that the relative growth rate of labour productivity greater than the rate of the initial investment increased the labour productivity． By controlling the investment it makes labour productivity increase, which is more workable and also more meaningful．

Keywords: Productivity，Mode of economic growth,  Labor,  Invest

目    录
第一章  前  言  1
1．1  经济发展与劳动生产率的增长   1
1．2  劳动力人口的增长与经济增长的关系   1
第二章  理论与基础   2
2．1  Cobb-Douglas生产函数   2
2．2  已有的劳动生产率增长的条件  3
2．3  该条件的弊端  4
第三章  对假设条件的再次研究  6
3．1  人口阻滞增长模型（Logistic模型  6
3．2  应用Logistic模型建立中国劳动力数量增长模型  7
3．3  运用Logistic人口增长模型的可行性分析  9
3．4  投资与产量的关系  10
第四章  计算新条件下的劳动生产率增长的条件  12
4．1  中国的Cobb-Douglas生产函数  12
4．2  修改后条件的阐述   12
4．3 劳动生产率增长的新条件  13
第五章  实证研究和展望  17
5．1  关于调整s改变劳动生产率的实证   17
5．2  对于技术进步的定性分析    23
参 考 文 献   24
致    谢   25
附    录   26

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