A Comparison of Keynes’s General Theory Model of IS – LM in Chapter 21 and the 1934 Draft Copy of the General Theory: Keynes Made a Major Conceptual Improvement

M. E. Brady
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Abstract

Keynes made major improvements in the manner in which he presented his IS-LM model in the General Theory in February 1936 when compared to the 1934 Draft copy of June–July Keynes’s improvements were with respect to the specification of the Consumption function, marginal propensity to consume, and investment multiplier and removing the variable, W, which stood for the impact of the "the state of the News", which actually measured the change in the weight of the argument (evidence).

Keynes correctly substituted “expectation(confidence)” in the 1934 draft, instead of using “the state of the news”. This was still not correct as Keynes is still incorporating and mixing up expectational and actual variables in the same set of equations. Keynes got it correct in the General Theory when he defined uncertainty as an inverse function of the weight of the argument and confidence as a negative function of uncertainty, which makes confidence a positive function of the weight of the argument, in the General Theory. The reader should note that Keynes never defined the weight of the argument, V(a/h)=w, until page 315 in chapter 26 of the A Treatise on Probability.

Keynes‘s comments to his students about the role of mathematical equations in macroeconomics has been severely and badly misinterpreted to mean that no formal mathematical analysis of macroeconomics was possible. Keynes was always aware of the fact that no mathematical model alone was capable of representing the macro economy in its entirety. He spent pages 300-303 of the General Theory listing the types of important analysis that were not considered or taken into account in the IS-LM model itself. However, the IS-LM model,while being presented on pp.298-299 of the General Theory as being “…valuable in introducing order and method into our enquiry., "however," presents a deceptive simplicity, if we forget that the three elements (a), (b) and (c) are themselves partly dependent on the complicating factors (2), (3), (4) and (5) which we have not yet considered…” (Keynes,1936,p.298).

All of macroeconomic history needs to be rewritten in order to incorporate Keynes’s use of an explicit IS-LM model in chapter 21 of the General Theory.
第21章凯恩斯的IS - LM通论模型与1934年《通论》草稿的比较:凯恩斯在概念上作了重大改进
凯恩斯在1936年2月的《通论》中提出了他的IS-LM模型,与1934年6 - 7月凯恩斯的草案相比,他在消费函数、边际消费倾向和投资乘数的规范方面做出了重大改进,并删除了代表“新闻状态”影响的变量W,它实际上衡量了论点(证据)权重的变化。凯恩斯在1934年的草案中正确地用“预期(信心)”代替了“新闻现状”。这仍然是不正确的,因为凯恩斯仍然将预期变量和实际变量合并并混合在同一套方程中。凯恩斯在《通论》中将不确定性定义为论点权重的反函数,将信心定义为不确定性的负函数,这使得信心在《通论》中成为论点权重的正函数。读者应该注意到,凯恩斯直到《概率论》第26章第315页才定义了这个论点的权重V(a/h)=w。凯恩斯对他的学生们关于数学方程在宏观经济学中的作用的评论,被严重误解为不可能对宏观经济学进行正式的数学分析。凯恩斯一直意识到这样一个事实,即没有一个数学模型能够单独代表宏观经济的整体。他在《通论》的300-303页中列出了IS-LM模型本身没有考虑或考虑到的重要分析类型。然而,IS-LM模型在《通论》第298-299页中被描述为“……在为我们的研究引入秩序和方法方面很有价值”。然而,“呈现出一种欺骗性的简单,如果我们忘记三个要素(a), (b)和(c)本身部分依赖于我们尚未考虑的复杂因素(2),(3),(4)和(5)……”(凯恩斯,1936年,第298页)。所有的宏观经济历史都需要重写,以便将凯恩斯在通论第21章中使用的明确的IS-LM模型纳入其中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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