| 一类带消费的随机动态投入产出模型 |
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| 引用本文： | 李亮,耿显民. 一类带消费的随机动态投入产出模型[J]. 淮阴师范学院学报(自然科学版), 2008, 7(1): 17-22 |
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| 作者姓名： | 李亮 耿显民 |
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| 作者单位： | 1. 南京审计学院,应用数学系,江苏,南京,210029
2. 南京航空航天大学,理学院数学系,江苏,南京,210016 |
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| 摘 要： | 对时滞为1且带随机消费的动态投入产出模型,研究了投入产出消耗系数矩阵、投资系数矩阵均为随机矩阵时,稳定增长解的存在性问题.利用现代概率分析及马氏过程等工具,证明不存在随机动态投入产出模型的稳定增长解.即投入产出模型反映的经济系统必须经常进行调整,其崩溃时间为无穷大的概率为零.
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| 关 键 词： | 消耗系数矩阵 投资系数矩阵 消费 稳定增长解 崩溃时间 |
| 文章编号： | 1671-6876(2008)01-0017-06 |
| 修稿时间： | 2007-12-12 |
A Random Dynamic Input-output Model with Consumption |
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| LI Liang,GENG Xian-min. A Random Dynamic Input-output Model with Consumption[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2008, 7(1): 17-22 |
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| Authors: | LI Liang GENG Xian-min |
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| Abstract: | A dynamic input-output model with random consumption,random consumption coefficient matrix and random investment coefficient matrix which the time lag is one has been given in this paper.The existence of the balanced growth solution for this model has been discussed by means of modern stochastic analysis and Markov process.It is proved that the random dynamic input-output model does not have a balanced growth solution.Namely,economic system must be adjusted constantly.The probability that the collapse time of economic system is∞is zero. |
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| Keywords: | consumption coefficient matrix investment coefficient matrix consumption balanced growth solution collapse time |
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