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内生出生率与养老金

书 名: 内生出生率与养老金
英 文 名: Endogenous Fertility and Pensions
作 者: 齐玲 
I S B N: 978-7-5097-4698-1
关 键 词:  人口出生率 养老保险 研究 中国
出版时间: 2013年06月

中文摘要

本书研究内生出生率与养老保险的问题。在动态经济模型中,如果出生率由模型中的最优化问题而决定的话,则称为内生出生率。本书设立男女家庭分工的离散时间动态模型,在这一模型中,家庭在选择自己的效用的同时也选择子女数目和子女的人力资本,使用拓扑、动态规划、最大原理和不动点定理等数学方法,证明了最佳路径的存在性,值函数的存在性,最佳路径的单调性,定常点的存在性并刻画了定常点的性质等,最后得到了在低的人力资本的定常点,女性不参加市场商品生产活动,出生率高;而在高的人力资本的定常点,女性参加市场商品生产活动,出生率低。本书使用这一模型和结果,来解释为什么随着经济的发展和技术的进步,出生率却下降的问题,也分析了我国的独生子女政策,并对我国的人口政策提出了一些建议。

在分析和总结了各先进国家的年金系统、年金政策和养老金改革的基础上,本书对我国的养老金政策提出一些建议。

本书共分六章。第一章是关于人口移转、经济增长和出生率问题的文献总结。第二章建立了静态的男女分工的生产函数,并对出生率和人力资本水平对生产函数的影响进行了分析。第三章建立了动态的家庭内男女分工模型,证明了最佳路径的存在性,最佳路径的单调性,定常点的存在性,最佳路径和刻画了定常点的性质等。第四章分析了我国的独生子女政策,用模型证实了仅从经济的最佳选择来说,独生子女并非家庭的最佳选择,然后对我国的人口政策提出一些建议。第五章总结了先进国家的养老金制度、养老金系统和养老金改革的经验和文献。第六章对我国的养老金制度、养老保险和养老金改革提出一些建议。

本书是从实际问题出发,建立模型,用高深的数学方法解决模型和动态系统问题,然后用得出的结论来解释和分析实际问题的一个尝试。

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