Keynes Rejected Kalecki’s Theory of Investment Because There Is No Major Difference Between Kalecki’s and Tinbergen’s Theories of Investment: Both Kalecki and Tinbergen Accepted Precise Theories of Probability Because They Were Frequentists

M. E. Brady
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引用次数: 1

Abstract

It is quite impossible for Kalecki’s Theory of Effective Demand to have anything to do with Keynes’s Theory of Effective Demand because Kalecki, like Tinbergen, was a frequentist who accepted only precise, exact, additive numerical probability as the general case. For Keynes, probability was generally imprecise, inexact, non additive and non numerical (interval).

The belief that there is some kind of connection between Kalecki’s frequentist theory of investment and Keynes’s non frequentist theory is due to the false claims made by Joan Robinson, a mathematically and statistically illiterate economist, who did not realize that Kalecki’s theory of investment is in all major respects, just another version of Tinbergen’s theory based on frequentist, precise probability.

Lopez and Mott (1999) and Mott (2009) do not seem to have any knowledge of the fact that Kalecki’s theory of investment and Tinbergen’s theory of investment are, in all major respects, identical:

“Investment, and the level of employment in capitalism, are highly volatile. In part, investment volatility stemmed from psychological factors, such as 'animal spirits,’ expectations and conventions. But it was due also to an assumption that the 'decision period’ for capitalists (i.e. a period long enough for capitalists to take new decisions) was a very short one. Capitalists were viewed as taking decisions almost on a day-to-day basis.

Kalecki never denied that psychological factors do influence investment decisions or that investment might be volatile. In fact, in several works he actually made reference to a 'crisis of confidence’. But in his theory the weight is given entirely to 'objective’ factors. He insisted that capitalists did not react solely, or mainly, to their expectations, but rather to the 'hard fact’ of realized profits; and he assumed the investment function to be relatively stable in the sense that investment will not fall or rise due to events with a very short life.” (Lopez and Mott, 1999, pp.293-294; boldface and underline added).

The boldfaced and underlined sentences above are identical to the position that Tinbergen defended against Keynes in the Economic Journal in the period 1938-1940.

Lopez and Mott (1999),as well as Mott (2009), appear to be completely unaware that their second paragraph would be an excellent summary of Tinbergen’s critique of Keynes that he made in 1940. It should not be as surprising, then, that Tinbergen and Kalecki, who are both Frequentists and both advocates of precise probability, have theories of investment completely different from Keynes’s theory, which is built on imprecise probability, inexact measurement, and approximation, which allows for evidence to be incorporated in probability assessments in the form of propositions that allows a decision maker to consider evidence which is infrequent and nonfrequent, as well as frequent, evidence as opposed to Kalecki and Tinbergen, where the only evidence allowed is relative (statistical) frequencies.

Lopez and Mott (1999),as well as Mott (2009), are thus completely unaware that the basic, fundamental conflict between Tinbergen and Kalecki on the one hand, and Keynes on the other hand, is over the application of probability to conduct (decision making). Kalecki and Tinbergen are both frequentists, who believe in precise and exact, additive probability. Keynes is a logicist who, with George Boole, is the founder of the logical approach to logical theories of probability that are inexact, non additive and imprecise. Keynes’s explicit discussion of approximation and inexact measurement on pp.39-40 and pp.43-44 of the General Theory in chapter Four are taken directly from Part II of the A Treatise on Probability, 1921.
凯恩斯拒绝卡莱茨基的投资理论,因为卡莱茨基和丁伯根的投资理论之间没有重大区别:卡莱茨基和丁伯根都接受精确的概率论,因为他们是频率主义者
卡莱茨基的有效需求理论不可能与凯恩斯的有效需求理论有任何联系,因为卡莱茨基和丁伯根一样,是一个频率论者,他只接受精确的、精确的、可加的数值概率作为一般情况。对凯恩斯来说,概率通常是不精确的、不精确的、非加性的、非数值的(区间)。认为卡莱茨基的频率论投资理论和凯恩斯的非频率论投资理论之间存在某种联系,是由于琼·罗宾逊(Joan Robinson)的错误主张,她是一个不懂数学和统计的经济学家,她没有意识到卡莱茨基的投资理论在所有主要方面都只是丁伯根基于频率论的精确概率理论的另一个版本。Lopez和Mott(1999)以及Mott(2009)似乎并不知道Kalecki的投资理论和Tinbergen的投资理论在所有主要方面都是相同的:“资本主义的投资和就业水平是高度不稳定的。在某种程度上,投资波动源于“动物精神”、预期和传统等心理因素。但这也是由于一个假设,即资本家的“决策期”(即资本家做出新决策的时间足够长)非常短。资本家被视为几乎每天都在做决定。卡莱茨基从不否认心理因素确实会影响投资决策,或者投资可能会波动。事实上,他在几部作品中提到了“信任危机”。但在他的理论中,权重完全被赋予了“客观”因素。他坚持认为,资本家并不完全或主要对他们的期望作出反应,而是对已实现利润的“硬事实”作出反应;他假设投资函数是相对稳定的,即投资不会因为寿命很短的事件而下降或上升。(Lopez and Mott, 1999,第293-294页;加粗和下划线)。上面黑体字和下划线的句子与1938年至1940年期间丁伯根在《经济杂志》(Economic Journal)上反对凯恩斯的立场相同。洛佩兹和莫特(1999)以及莫特(2009)似乎完全没有意识到,他们的第二段将是对丁伯根在1940年对凯恩斯的批评的一个很好的总结。因此,丁伯根和卡莱茨基都是频率主义者,都是精确概率的倡导者,他们的投资理论与凯恩斯的理论完全不同,这一点也不奇怪,凯恩斯的理论建立在不精确的概率、不精确的测量和近似的基础上,它允许证据以命题的形式被纳入概率评估,允许决策者考虑不频繁和不频繁的证据,以及频繁的证据,与Kalecki和Tinbergen相反的证据,在Kalecki和Tinbergen中,唯一允许的证据是相对(统计)频率。因此,Lopez和Mott(1999)以及Mott(2009)完全没有意识到,Tinbergen和Kalecki与凯恩斯之间的基本冲突是关于概率在行为(决策)中的应用。卡莱茨基和丁伯根都是频率论者,他们相信精确和精确的加性概率。凯恩斯是一位逻辑学家,他与乔治·布尔(George Boole)共同创立了用逻辑方法研究不精确、非加性和不精确的概率逻辑理论。凯恩斯在《通论》第四章第39-40页和第43-44页对近似和不精确测量的明确讨论直接取自1921年《概率论》第二部分。
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