20世纪和21世纪经济学界是如何忽视《通论》第21章中凯恩斯的IS-LM (LP)模型的

M. E. Brady
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引用次数: 0

摘要

凯恩斯在《通论》第15章和第21章分别对他的原始IS-LM(LP)模型进行了简要和详细的总结,但由于三个主要原因,20世纪和21世纪的经济学专业人士忽视了这一点。第一个原因是凯恩斯原教旨主义者琼·罗宾逊(Joan Robinson)和GL S沙克尔(GL S Shackle)的主张,他们认为凯恩斯对不确定性的假定定义是对未来的完全无知,排除了对宏观经济的正式数学和统计模型的使用。因此,通论中的任何IS-LM模型都是不可能的。第二个原因是基于巴克斯豪斯、杨、迪芒和鲁宾提出的假设,即凯恩斯是马绍尔形式数学论述观点的追随者,这种观点强调只呈现基于数学分析的口头论述链,然后从出版的作品中删除。因此,尽管凯恩斯在1933年、1934年和1935年创建了早期版本的IS-LM模型,但凯恩斯决定在1936年将他的IS-LM模型的三个组成部分分散到通论中,从而删除他的正式IS-LM模型。凯恩斯用严格的口头、文学、散文分析取代了它。第三个原因是基于Hawtrey、Robertson、Robinson、Viner、Hansen和Ahiakpor的主张,即凯恩斯的流动性偏好分析仅限于《通论》第13章,其中关键的分析是基于《通论》第168页指定的方程M=L(r),因此货币的需求和供给与流动性的需求和供给是相同的。凯恩斯第15章对流动性偏好的定义在第199页被忽略了。这种观点的拥护者同样忽略了凯恩斯在《通论》第15章207-209页和第21章298-306页的分析。这三个理由都存在严重缺陷,因为它们都忽略了凯恩斯在《通论》第15章199页、207-209页和第21章298-306页的分析。一旦仔细研究这些页面,就会发现凯恩斯在《通论》中加入了一个改进的IS-LM(LP)模型,该模型优于他在学生讲座中提出的1933年、1934年和1935年的版本,以及1934年中期的《通论》草稿。凯恩斯在298-299页的讨论中清楚地表明,他提出了一个具有以下特征的数学模型:•人们可以使用它来计算定量答案•该模型由三个元素组成a), b)和c)。a)是消费函数c, mpc和投资乘数都指定。b)是投资函数I,它是利率r的一个向下倾斜的函数。c)是第15章第199页的流动性偏好方程,它是Y和r的函数,其中Y= c +I。•这三个元素提供了一个分析,是有价值的介绍秩序和方法的查询•这三个元素定义了一组联立方程•方程提供了一个确定的答案或结果。•在凯恩斯的is - lm (LP)第21章模型中没有不确定性/预期。凯恩斯在第298-299页的通论中完美地描述了他的is - lm (LP)模型。这是对他早前的1933、1934和1935年版本的重大改进。希克斯的is - lm版本,就像哈罗德的版本一样,凯恩斯的通论,发表在1937年的《计量经济学》上,是凯恩斯的is - lm模型在《通论》第21章的低劣版本,因为希克斯的版本没有支持,微观的,D-Z分析,包括预期和不确定性,正如凯恩斯在《通论》第20章和第21章中提出的那样。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
How the Economics Profession Overlooked Keynes’s IS-LM (LP) Model in Chapter 21 of the General Theory in the 20th and 21st Centuries
J M Keynes’s brief and detailed summaries of his original IS-LM(LP) models in Chapters 15 and 21, respectively, of the General Theory were overlooked by the economics profession in the 20th and 21st centuries due to three main reasons.

The first reason was the claims made by the Keynesian fundamentalists,Joan Robinson and GL S Shackle, that Keynes’s supposed definition of uncertainty as complete and total ignorance of the future precluded the use of formal mathematical and statistical models of the macro economy. Therefore, any IS-LM model in the General Theory was an impossibility.

The second reason was based on the supposed claim ,made by Backhouse,Young, Dimand, and Rubin, that Keynes was an adherent of the Marshallian view of formal mathematical exposition, which supposedly emphasized presenting only verbal chains of exposition that were based on mathematical analysis, which was then removed from the published work. Therefore, although Keynes created earlier versions of IS-LM to work with in 1933,1934, and 1935, Keynes decided to remove his formal IS-LM model by scattering the three components of his IS-LM model throughout the General Theory in 1936. Keynes substituted a strictly verbal, literary, prose analysis in its place.

The third reason was based on the claim, made by Hawtrey, Robertson, Robinson, Viner, Hansen and Ahiakpor, that Keynes’s liquidity preference analysis was restricted only to chapter 13 of the General Theory alone ,where the crucial analysis was based on the equation specified on page 168 of the General Theory, M=L(r),so that the demand and supply for money is identical to the demand and supply for liquidity. Keynes’s chapter 15 definition of liquidity preference on p.199 is ignored. Adherents of this view likewise overlooked Keynes’s analysis on pages 207-209 of chapter 15 and pages 298-306 of chapter 21 of the General Theory.

All three of these reasons are badly flawed because they all ignore Keynes’s analysis on pages 199, 207-209 of Chapter 15 and pages 298-306 of chapter 21 of the General Theory. Once these pages are studied carefully, it becomes clear that Keynes incorporated an improved IS-LM(LP) model in the General Theory that was superior to the earlier 1933,1934,and 1935 versions he had presented in his student lectures and the mid 1934 draft copy of the General Theory.

Keynes makes it crystal clear in his discussion on pages 298-299 that he was presenting a mathematical model that had the following characteristics :
• One can calculate a quantitative answer using it
• The model is composed of three elements a), b), and c). a) is the consumption function, C, with both the mpc and investment multiplier specified. b) is the Investment function, I, which is a downward sloping function of the rate of interest, r. c) is the Liquidity Preference equation from page 199 of chapter 15, which is a function of both of Y and r, where Y=C+I.
• The three elements provide an analysis that is valuable in introducing order and method to the enquiry
• The three elements define a set of simultaneous equations
• The equations provide a determinate answer or result.
• This result is an equilibrium position
• There is no uncertainty /expectations in Keynes’s chapter 21 model of IS-LM(LP)
Keynes perfectly described his IS-LM(LP) model in the General Theory on pp.298-299. It is a major improvement over his earlier 1933, 1934, and 1935 versions.

The Hicksian IS-LM version, like Harrod’s version, of Keynes’s General Theory, which was published in Econometrica,1937, is an inferior version of Keynes’s IS-LM model in chapter 21 of the General Theory because the Hicksian version has no supporting, micro, D-Z analysis that incorporates expectations and uncertainty, as presented by Keynes in chapters 20 and 21 of the General Theory.
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