Abstract
Lawrence Klein was a follower of the Limiting Frequency Interpretation of probability. This concept of probability requires that probability must always be a precise, exact mathematical probability. This meant that additivity was always the case. His acceptance of Kolmogorov’s axiom of countable additivity meant that he had no idea whatsoever about the concept of interval valued probability espoused by Boole and Keynes using upper and lower probability bounds. Klein’s belief in the limiting frequency interpretation of probability meant that there can be no such things as imprecise and/or indeterminate probabilities. This view impacts Klein’s understanding of economic statistics and Econometrics. Klein builds his approach to economic statistics and Econometrics on the application of the Multivariate Normal probability distribution a la Tinbergen in 1939-40. There is no evidence that Klein was familiar with Mandelbrot’s demonstration, starting in the late 1950’s, that the Normal Distribution is not supported by any empirical evidence or Keynes’s point that it was impossible to use a Normal Distribution to account for changes in the demand (supply) of durable, physical capital goods, due to the impact of future technological change, innovation (obsolescence), and advance that impacted the expectations of those investing in such producer goods. However, Klein’s approach could be used to analyze the consumption function and inventory changes over time since these are stable, linear functions. Klein misunderstood Keynes’s comments about mathematical economics in the General Theory in the appendix to chapter 19 and chapter 21 of the General Theory. Keynes’s comments were a critique of Pigou’s use of Marshallian mathematics, based on ceteris paribus, partial equilibrium models that did not take into account the interdependencies and complex, complicated interactions between variables caused by the positive feedback effects emanating from, for one example, the interactions of the multiplier and accelerator. Klein also failed to recognize that Keynes was the creator, developer and innovator of the IS-LM (LP) model, which Keynes presented as a three equation system on pp. 298-299 of the General Theory in 1936. Hicks’s and Harrod’s versions of IS-LM were just inferior versions of Keynes’s original model that left out expectations and uncertainty considerations, which Keynes had incorporated in his supporting D-Z model of chapters 20 and 21 (there is no D-Z model in chapter 3 of the GT).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.