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Cobb—Douglas生产函数模型的数学机理与原型的行为机理分析 被引量:6

Analysis of Mathematics Mechanism of Model of Cobb-Douglas (C - D) Production Function and Behavior Mechanism of Primitive Form
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摘要 本文讨论了C—D生产函数在我国应用时成功、失败、甚至个别错误使用的案例.首先,对几种数学构造反映出选用者不同的主观心态进行了比较研究;然后,结合作者在课题中遇到的实际问题,提出了在利用模型进行数学机理分析时,决不能违背对象系统原型的行为机理的客观性;继而,发现了劳力投入L与资金投入K不同的匹配格局是影响系统行为的结构上主要的客观原因,由于L与K匹配的不同,用弹性α,β和规模报酬率α+β作为增加投入,扩大生产规模是否有利的判据的不充分性;最后,结合我国的实际情况提出了使用C—D函数时的注意事项和改进意见,并将其应用作了适合国情的拓广. This paper discusses some succesful unsuccessful wrong application of C -D production function in China. First, the authors comparatively studys some mathematical struciures which reflect the user's different subjective attention. Then, combining problems, which appear in the authors' research, they point out that we can not violate the objectivity of behavior mechanism of the system's primitive form. Furthermore, the outhors finds out different matching patterns of working input L and capital investment k, which are the main objective reasons that effect the structure of the system's behavior. Because of different matching L and K, it is insufficient to use elasticity a,3 and scale payment rate, α+β, to identify the adrantage of increasing input and expanding production scale. At last, considering Chinese condition, the author presents some important aspects in using C - D production function and gives some further suggestions and extends its applying fields making it more suitable for Chinese situation.
作者 罗声求 陈赫
出处 《系统工程》 CSCD 1995年第3期27-33,共7页 Systems Engineering
关键词 数学机理 行为机理 生产函数模型 经济增长 mathematics mechanism, behavior mechanism, matching, tensile elasticity, elasticity of compression
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