凯恩斯的“乘数理论的历史”的最后一章已经写在1921年的《概率论》的第26章中

M. E. Brady
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引用次数: 0

摘要

R·J·肯特(R J Kent)在2007年发表的《政治经济史》(History Of Political economics)文章最后写道:“……但是,关于凯恩斯在乘数发展过程中所扮演的角色,肯定还有许多悬而未决的问题……”佩斯·肯特,任何读过凯恩斯在1921年的《概率论》第26章,并将其中提供的数学分析与理查德·卡恩1931年6月发表在《经济杂志》上的文章进行比较的人,都会立即意识到,除了凯恩斯和卡恩使用的特定变量(q代表凯恩斯,k代表卡恩)之外,卡恩的形式表示与凯恩斯的形式表示是相同的。不再有“关于凯恩斯在乘数发展中的作用的悬而未决的问题……”。正如肯特在他的论文中所示,凯恩斯在卡恩的文章发表至少10年前就提出了乘数的逻辑和数学理论,并在1929年5月通过提供乘数理论的应用来应用他的知识,至少比卡恩的文章发表早两年。保罗·萨缪尔森(Paul Samuelson)在1977年的《经济文献杂志》(Journal of Economic Literature)上错失了终结乘数之谜的黄金机会,但在《通论》第26章对凯恩斯风险分析的分析中,却忽略了凯恩斯的技术分析。真正没有答案的问题是,为什么经济学家花了90年时间才认识到,是凯恩斯向卡恩展示了如何应用乘数,而不是相反。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Final Chapter in Keynes's 'History of the Multiplier Doctrine' Had Already Been Written in the 'A Treatise on Probability' in 1921 in Chapter 26
R J Kent’s 2007 History Of Political Economy article ends with the claim that “…But there certainly are many unanswered questions concerning Keynes’s role in the development of the multiplier…”. Pace Kent, anyone who has read Keynes’s chapter 26 in the A Treatise on Probability in 1921 and compared the mathematical analysis provided there with the mathematical analysis presented in Richard Kahn’s June, 1931 Economic Journal article, will immediately recognize that Kahn’s formal representation is identical to Keynes’s except for the specific variables used by Keynes and Kahn, q for Keynes and k for Kahn.

There are no more “unanswered questions concerning Keynes’s role in the development of the multiplier…”. Keynes developed the logical and mathematical theory of the multiplier at least 10 years before the publication of Kahn’s article and applied his knowledge by providing an application of the multiplier theory in May of 1929, at least two years before the publication of Kahn’s article, as shown by Kent in his paper.

Paul Samuelson missed a golden opportunity in his 1977 Journal of Economic Literature to end the mystery of the multiplier, but overlooked Keynes’s technical analysis in his analysis of Keynes’s risk analysis in chapter 26 of the General Theory. The real unanswered question is why it took nine decades for economists to recognize that it was Keynes who showed Kahn how to apply the multiplier and not the other way around.
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