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city. However, while a few contractors (including GM Hughes, Grumman, and McDonnell Douglas) have div
figures 1.1.1-3 above. This data suggests that a Maxwell-Boltzmann distribution also provides a very good
rprising, as it is known that the log- normal and the Maxwell-Boltzmann have exponential tails, and so are not
These ideas include recent research in market microstructure, liquidity, post-Keynesian pricing theory as well as the work of Foley, Keen, Smithers, Shiller, Cooper, Pettis, Pepper & Oliver, Mehrling, Lyons and others. Neoclassical economics, while forming an intellectually beautiful framework, has prov
tly following the dramatic changes in value during the dotcom and housing booms of the last decade, and secondly because of the detailed research of Shiller, Smithers and others that both disprove a purely stochastic basis for stock market movements and also give substantial evidence for long term rever
ssipative structure approach, presumably there is a negentropy flow associated with 'maintaining' the dissipative structure in its low entropy form; Maxwell's demon is continually at work narrowing the spread of the distribution. However if this negentropy flow is smaller than the entropy flow through t
distribution [Levy & Solomon 1996]. In contrast the Maxwell-Boltzmann distribution of a normal thermodynamic
hree factor' model. This then becomes much more significant at the level of the whole stockmarket, especially in the light of the extensive work by Shiller and Smithers regarding the long-term valuation of stock markets. This work is very well summed up in 'Wall Street Revalued' [Smithers 2009]. The ce
olio of investments. Interestingly, this should act in a strongly counter-cyclical manner. Given the mean reversion properties of the market as per Shiller and Smithers, liquidity protection of this type should be cheap at historical liquidity lows, but increasingly expensive as liquidity bubbles formed
e should fit together in this way, and in fact it wasn't until many years later that the equation was independently explained at an atomic level by Maxwell and Boltzmann. Thirdly, the equations do not refer to underlying microscopic mechanisms or variables. In equation (4.7a) there are no references to
l regularity and predictability in the aggregate. The Maxwell-Boltzmann-Gibbs methods of statistical mechanics
ish to remain working in finance. They are obliged to adopt rules of thumb that work. Some of the more thoughtful financiers, people such as Pettis, Shiller, Smithers, Cooper, Pepper & Oliver have then made insightful attempts to explain why these rules of thumb work in practice. In the field of market
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