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Showing posts from May, 2011

Fractal Monopoly vs Perfect Competition or Knowledge

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Fractal analysis demonstrates  Information asymmetry :  Monopoly and Perfect Competition The diagram below shows the development of the fractal Koch Snowflake. Shape equilibrium (Perfect Knowledge) - but not absolute information as the fractal is infinite in detail or size - is reached at iteration 4 -  where the marginal benefit equals marginal cost.  Perfect Knowledge or ‘perfect information'  is achieved only with free, open, competitive, or unobstructed feedback. Any obstruction to 'iteration' in achieving this equilibrium—due to what may be termed a knowledge monopoly—will produce an incomplete fractal shape, imperfect knowledge, and asymmetric information. At some stage in the future, when things calm down, I plan to come back to this entry and update and further explain it: there is just so much to do.

Evolution and the fractal

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Evolution and the fractal Many references from leading biologists and mathematicians suggest that evolution has (often) found fractal ways or has used fractal ways.  This is totally misleading. Evolution is a feature of the fractal. Evolution is always, and everywhere, fractal.   Dictionary Search Results ev·o·lu·tion noun  /ËŒevəˈlo͞oSHÉ™n/  evolutions, plural The process by which different kinds of living organisms are thought to have developed and diversified from earlier forms during the history of the earth The gradual development of something, esp. from a simple to a more complex form - the forms of written languages undergo constant  evolution Synonyms noun:  development ,  growth ,  progress If evolution is defined as change through time and  fractality: as the ' same' but 'different' - at all scales Then, evolution is a (universal) fractal process, and it can be demonstrated in the fractal - i t is a law

Butterfly Effect a flawed argument; Credit Card Effect better

I think the 'Butterfly effect' has a flaw or is at least misleading. It suggests two attractors: the (flying) butterfly, which is governed by aerodynamics, and the (blowing and turbulent) typhoon, which is governed by thermodynamics.  Chaos theory suggests that each and every attractor demonstrates 'chaos' in a system and that a system (an attractor) in isolation will experience chaos - without any other influences. The real butterfly effect may be more like: ' The flapping of a butterfly's wings could explain the presence, or existence, of the large (747) jet aircraft flying today—which is aerodynamics; or the heat emitted from the butterfly's breath  could explain the typhoon, which is thermodynamics. What do you think? The credit card effect - one person's credit card debt could bankrupt a country - or the world. Dangerous debt burdens migrate from the small scale—individual—to the large scale—country—through moral hazard bail