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have the advantage." Claude Shannon [Tribus & Mclrvine 1971]. I find the last quote very reassuring. In my own opinion, though less well known than Einstein, Von Neumann ranked close to Einstein in terms of genius. Like Einstein, he didn't merely bring in a single profound new idea; but seemed to change
st is in that of finance. The earliest work on random walks was that done by the mathematician Bachelier on stock prices. Bachelier's work predates Einstein's own random walk model of Brownian motion. For half a century Bachelier's work was largely forgotten. The use of random walks in finance was rekin
this is a chaotic model, not a stochastic one. There is no stochasticity in this model. All fluctuations in the model are created endogenously from the Lotka-Volterra like differential equations in the model. Figure 4.3.4 shows the detail of couple of cycles. Figure 4.3.4 here These are real live Minskian / Aus
nd demand. In Handbook of Financial Markets: Dynamics and Evolution, ed. T Hens, KR Schenkhoppe, pp. 57-130. Amsterdam: Elsevier Bray A, Graham 3, Harvey C, Michaely R, 2005. Payout policy in the 21st century. Journal of Financial Economics 77,483-527. van den Berg H, 2010. Mathematical Models of Biolo
d 'common sense' and simply worked out the mathematical consequences of this fact. Thus was relativity born. Economists seem to prefer the route of Einstein's peers, forever producing more complex theories to substantiate the existence of a hypothetical aether. Science can not be built simply on common
al and ecological scientists have the right mathematical tools for creating a radical and effective new economics, both specifically in the form of the Lotka-Volterra and maximum entropy production models, and more generally in their understanding of complex inter-related evolving systems. Ultimately this maths f
ke this naïve approach as it stands and follow the consequences through the model. With regard to management behaviour, research from Bray, Graham, Harvey and Michaely [Bray et al 2005] support the contention that maintenance of a constant dividend stream is an important priority for managers of corpo
rom top to bottom. But this still results in a distribution with a large bias giving most of the wealth to a minority of individuals. Going back to the Lotka-Volterra and GLV models discussed in section 1.2, it is better to abandon the predator-prey model of foxes killing rabbits, and instead think in terms of a '
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