凯恩斯从来不是“第12章”的凯恩斯主义者:他是“第12章”凯恩斯主义者的说法是琼·罗宾逊和g·l·s·沙克尔在他死后将凯恩斯的不确定性定义改为激进的不确定性而制造出来的

M. E. Brady
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引用次数: 0

摘要

凯恩斯认为自己是“第12章”凯恩斯主义者的说法是不准确和误导的。凯恩斯在《通论》中第12章对不确定性的讨论和定义只是他在1921年《概率论》第26章中对不确定性进行的更一般的理论讨论的一个脚注,第309-312页专门集中在经济学上。这在1937年至1938年的凯恩斯-汤森通信中得到了证明,其中没有讨论1937年QJE的文章或激进的不确定性。凯恩斯在《通论》中有两个相互关联的模型。它们是处理预期总需求的D- z模型D和处理实际或已实现总需求的IS-LM(LP)模型y。凯恩斯在《通论》第3章向读者简要介绍有效需求理论后,将不确定性和期望纳入了第20章和第21章的D- z模型。凯恩斯在第15章(第199-209页)中使用了他的IS-LM(LP)模型,为他在第21章中最后完整的IS-LM(LP)模型提供了一个简短的介绍,凯恩斯在第21章的第四节中把构成IS-LM(LP)模型的所有元素结合在一起。这一分析纳入了凯恩斯在1935年8月27日写给哈罗德的信中向哈罗德证明的古典和新古典利率(r)模型中缺失的LM(LP)方程,即在(r,Y)空间中只有一条向下倾斜的曲线,没有相交,因此在(r,Y)空间中古典和新古典理论中存在定量决定性均衡是不可能的。哈罗德在1935年8月30日写给凯恩斯的信中完全投降了,他承认凯恩斯确实提出了一个非常重要的缺失方程,并在经济理论方面取得了重大进展。凯恩斯在《通论》第179-182页的第14章中引用了他8月27日的分析,使用了哈罗德原始图表的一个版本。凯恩斯用图表表明,古典和新古典的利率理论相当于(r,Y)空间中的一条不相交的IS曲线。数据(在他1937年2月发表的《QJE》文章中,他恢复了“缺失方程”的描述)缺失了,只能由LM(LP)曲线提供,以便有一个定量的、确定的、唯一的均衡,正如凯恩斯在《通论》第299页明确指出的那样。这些相互关联和相互联系的模型相互协调地工作。使用其中一个而不使用另一个,并期望完全掌握凯恩斯的数学技术分析是完全不可能的。D-Z模型将期望和不确定性结合在一起,以分析预期或期望的有效需求量d。基于这种分析,得出具体的实际或实现的有效需求量Y。凯恩斯然后结合Y和r来说明为什么如果流动性偏好在LM(LP)曲线的高弹性范围内成为绝对,货币政策可以被完全中和。凯恩斯决定在《通论》第207-208页以及他在1937年2月《QJE》上给维纳的回复中提出这一结果。希克斯版本的凯恩斯的is - lm分析在任何类型的D-Z模型中都没有基础,因此是不完整的,因为它没有提供企业理论、总生产函数、劳动力市场或凯恩斯在第20章中明确提供的最优性的必要和充分的一阶和二阶条件的微观基础。
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J. M Keynes Was Never a ‘Chapter 12’ Keynesian: The Claim That He Was a ‘Chapter 12’ Keynesian Was Manufactured by Joan Robinson and G. L. S. Shackle After His Death by Changing Keynes’s Definition of Uncertainty to Radical Uncertainty
The claim that Keynes regarded himself as a “Chapter 12" Keynesian is inaccurate and misleading. Keynes’s chapter 12 discussion and definition of uncertainty in the General Theory is simply a footnote to his much more general theoretical discussion about uncertainty made in chapter 26 of the A Treatise on Probability in 1921 pages 309-312 which concentrated on economics specifically. This was demonstrated in the 1937-38 Keynes-Townshend correspondence, where there is no discussion of the 1937 QJE article or radical uncertainty.

Keynes had two interrelated and interconnected models in the General Theory. They were the D-Z model, which dealt with expected aggregate demand, D, and the IS-LM(LP) model, which dealt with actual or realized aggregate demand, Y. Keynes incorporated uncertainty and expectations into his D-Z model of chapters 20 and 21 after having provided readers of the General Theory with a very brief introduction to the Theory of Effective Demand in Chapter 3 of the General Theory. Keynes’s use of his IS-LM(LP) model in chapter 15 (pp.199-209) provided a brief introduction to the final, complete presentation of his IS-LM(LP) model in Chapter 21 where Keynes brought all of the elements that made up the IS-LM(LP) model together in Section Four of Chapter 21.

This analysis incorporated the LM(LP) equation missing from the classical and neoclassical model of the rate of interest (r) that Keynes had demonstrated to Harrod, in his letter of August 27th,1935, was only a single downward sloping curve in (r,Y) space that intersected nothing, so that the existence of a quantitative determinate equilibrium in classical and neoclassical theory was an impossibility in (r,Y) space. Harrod capitulated completely in his letter to Keynes of August 30th,1935 and acknowledged that Keynes had indeed come up with a very important missing equation and had made a major advance in economic theory. Keynes incorporated his August 27th analysis, using a version of Harrod’s original diagram, in chapter 14 of the General Theory on pages 179-182. Keynes showed diagrammatically that the classical and neoclassical theory of the rate of interest amounted to a single IS curve in (r,Y) space that intersected nothing. Data (in his February, 1937 QJE article, he reverts to a "missing equation” characterization) was missing that could only be provided by the LM(LP) curve in order to have a quantitative, determinate, unique equilibrium as stated explicitly by Keynes on page 299 of the General Theory.

These interrelated and interconnected models work in harmony together with each other. It is quite impossible to use one without the other and expect to fully grasp Keynes’s mathematical, technical analysis. The D-Z model incorporated expectations and uncertainty in order to analyze the anticipated or expected amount of Effective Demand, D. Based on this analysis, a specific actual or realized amount of Effective Demand, Y, results. Keynes then combines Y with r to show why monetary policy can be completely neutralized if liquidity preference becomes absolute in the highly elastic range of the LM(LP) curve. Keynes decided to present this result on pp.207-208 of the General Theory, as well as in his reply to Viner in the February, 1937 QJE article.

Hicks’s version of Keynes’s IS-LM analysis has no foundation in any type of D-Z model and hence is incomplete, as it provided no microfoundations in the theory of the firm, aggregate production function, labor market or necessary and sufficient first and second order conditions for optimality as provided by Keynes in chapter 20 explicitly.
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