Comparing the Original 1933, IS-LM (LP) Model of Keynes With the Advanced Version of February, 1936 Contained in Chapter 21 of the General Theory

M. E. Brady
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Abstract

Keynes’s original IS-LM (LP) model of 1933, although a major conceptual breakthrough, was technically and mathematically flawed because Keynes incorporated realized and expected variables in the same set of equations.

Keynes had solved this problem by early 1936 by formulating a completely new model that David Champernowne and Brian Reddaway had never seen or heard of before in Keynes’s lectures between 1933 and 1935 – the D-Z model of chapters 20 and 21. Keynes provided a brief introduction, outline and summary of the D-Z model on pages 24-32 of chapter 3 of the General Theory. The D-Z model focused exclusively on expectations and uncertainty. The IS-LM (LP) model focused exclusively on the realized, actual outcomes taking place in the economy in the Goods and Money sectors. The labor market, production function, marginal optimizing conditions and theory of the firm, with uncertainty and profit expectations integrated into the formal model, was done within the framework of the D-Z model in chapters 20 and 21. Both Kahn and Joan Robinson had no inkling about what was transpiring in chapters 20 and 21 of the General Theory.

Keynes’s final IS-LM(LP) model represents a major improvement over Keynes’s first exposition of his IS-LM model in December, 1933. Keynes’s consumption function, C, has an explicit marginal propensity to consume incorporated and investment multiplier defined. The variable, Y, is explicitly incorporated into the LM (LP) equation,M=L, as M=L(Y,r).
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凯恩斯1933年的IS-LM (LP)模型与《通论》第21章1936年2月的先进版本的比较
凯恩斯最初于1933年提出的IS-LM (LP)模型虽然在概念上取得了重大突破,但在技术上和数学上都存在缺陷,因为凯恩斯在同一组方程中纳入了已实现和预期变量。凯恩斯在1936年初解决了这个问题,他提出了一个全新的模型,这个模型是大卫·尚佩诺内和布莱恩·雷德韦在1933年至1935年凯恩斯的演讲中从未见过或听说过的,即第20章和第21章的D-Z模型。凯恩斯在《通论》第三章24-32页对D-Z模型做了简要的介绍、提纲和总结。D-Z模型只关注预期和不确定性。IS-LM (LP)模型只关注经济中商品和货币部门发生的已实现的实际结果。第20章和第21章在D-Z模型的框架内对劳动力市场、生产函数、边际优化条件和企业理论进行了研究,并将不确定性和利润预期纳入正式模型。卡恩和琼·罗宾逊都不知道《通论》第20章和第21章发生了什么。凯恩斯最后的IS-LM(LP)模型代表了凯恩斯在1933年12月首次阐述他的IS-LM模型的重大改进。凯恩斯的消费函数C具有明确的边际消费倾向,并定义了投资乘数。变量Y显式地并入LM (LP)方程M=L,即M=L(Y,r)。
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