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mon sense notion that stock-market returns are more appropriate than interest rates for 'r'.) As discussed above, intuitively it is not obvious why Bowley's law holds and the ratios of returns to capital are not much higher than the returns to labour. Using the basic ideas of classical economics we wo
the last two hundred years. Neoclassical ideas of utility and marginality have no theory to explain this. What equation (4.5a) says clearly is that Bowley's ratio will always be less than one, and given that rates of return are generally much lower than consumption rates, the value will be closer to o
sive bubbles just from the basic pricing system of capitalism. There is finally one important thing worth noting about the models. The value of the Bowley ratios, (3, for the first four models were as follows: Figure 4.3.7 13 Model 4A 0.75 (exactly) Model 46 0.92 Model 4C 0.78 Model 4D 0.85 T
nsense. However the concept of absolute value is not nonsense, it is in fact very powerful. The concept of 'negentropy' as value, as articulated by Ayres & Nair [Ayres & Nair 1984] for example, is not just basic common sense; it works as a theoretical approach, as evidenced by the models in part A. Once the
lin 2002]. Figure 1.3.8 here [St Louis Fed 2004] We will come back to Bowley's Law in some depth in sections 1.6 and 4.5-4.8 as it turns out that Bowley's law is of some importance. Because of this importance, it is useful to define some ratios. We already have: Profit rate r = Tr W (1.3r) Where
enerates endogenous boom and bust business cycles of the sort described by Minsky and Austrian economists. From this model an exact formula for the Bowley ratio; the ratio of returns to labour to total returns, is derived. This formula is also derived trivially algebraically. This derivation is extend
negentropy created in the products of the firms. Essentially figures 1.3.5 to 1.3.7 bring together the economic and physical diagrams discussed in Ayres & Nair [Ayres & Nair 1984]; so that the circulation of wealth and money complies with the laws of physics as well as the laws of finance. The discussions o
(1-r/Q) gave us our definition of ce. the exponent of the powertail, included in equation (4.5q). Equation (7.4f) itself is just a restatement of Bowley's law as defined in section 4.5 of this paper. These relations imply that the suggested approach in this section may have promise. A second observa
mple, in 2005 and 2006 the stock market was booming, with very high liquidity, even though the economy as a whole was struggling (as expected in the Bowley squared predator-prey model of section 4.9). In such circumstances, central bankers face acute problems. With the single tool of interest rates, g
ropy, first proposed by Georgescu-Roegen have been treated as fundamental truths. Unfortunately these precepts are trivially mistaken. The paper of Ayres & Nair [Ayres & Nair 1984] provides a typical example. I have found this paper profoundly useful in guiding my ideas as to how to link the mathematics of e
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