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非线性I-O或动态CGE模型解的存在性和惟一性
张金水 ; 郝晓红 ; ZHANG Jinshui ; HAO Xiaohong
2010-06-07 ; 2010-06-07
关键词投入产出模型 非线性 成本定价 动态CGE模型 input-output model nonlinear cost-based-pricing dynamic computable general equilibrium(CGE) model F224
其他题名Existence and uniqueness of solutions using nonlinear input-output models or the dynamic CGE model
中文摘要在Leontief投入产出(I-O)模型中生产要素不可替代。该文推广了Leontief投入产出(I-O)模型。对应于一般规模报酬不变生产函数,推导出一种非线性动态I-O模型及相应按成本定价方程,再讨论解的存在性与惟一性。依利润最大法则求单位产出要素需求函数,将这种情况下的CGE(可计算一般均衡)模型表成I-O形式;所得到的模型又可看作动态CGE模型。利用非负参数非线性系统的Peron-Frobenius定理,讨论按成本定价方程的解。得到按成本定价方程解的存在性与惟一性定理,并指出Peron-Frobenius根的实际意义,给出计算产品价格的简便迭代算法。; The Leontief input-output(I-O) model with production factors was extended to a nonlinear dynamic I-O model with cost-based-pricing equation deduced from the universal constant-return-to-scale production function.The existence and uniqueness of solutions of the cost-based-pricing equation were verified.The factor-demand function per unit output was developed by maximizing the profit in a dynamic CGE(computable general equilibrium) model with inputs and outputs way.The Peron-Frobenius theory of nonlinear systems with non-negative parameters was used to analyze the solutions of the cost-based-pricing equation.And a exist and unique theorem was given.The results illustrate the practical significance of the Peron-Frobenius root.A simple iterative algorithm was given to calculate the production price.; 国家自然科学基金资助项目(70571047)
语种中文 ; 中文
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/39433]  
专题清华大学
推荐引用方式
GB/T 7714
张金水,郝晓红,ZHANG Jinshui,等. 非线性I-O或动态CGE模型解的存在性和惟一性[J],2010, 2010.
APA 张金水,郝晓红,ZHANG Jinshui,&HAO Xiaohong.(2010).非线性I-O或动态CGE模型解的存在性和惟一性..
MLA 张金水,et al."非线性I-O或动态CGE模型解的存在性和惟一性".(2010).
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