From[Peter Small 30th April 2004]
Sorry Bill. Chen's papers contain some interesting comments and
observations, but the theory is based upon a false premise. Chen
writes:
" Living systems, as non-equilibrium systems, need to extract
low entropy from the environment to compensate for continuous dissipation.
This process is the most fundamental property of life. It can be represented
mathematically by geometric Brownian motion. From the entropy law, the
thermodynamic diffusion of an organic or economic system is spontaneous. The
extraction of low entropy from the environment, however, depends on specific
biological or institutional structures that incur fixed or maintenance
costs"
The idea that you can represent the extraction of low entropy
mathematically, from geometric Brownian motion is absolute nonsense.
Brownian motion is about randomness. There is no way you can explain
a decrease in entropy through considering randomness. The "extraction
of low entropy" by living systems is based upon CHAOS and not
randomness.
Chaos is a phased space that describes all the possible states that a
dynamic system can be in. Most of the states are unstable, but within
this space there are many states that are stable (called attractors).
Evolution is about jumping between these stable states.
Evolution (extracting low entropy) is about a strategy that causes
these jumps to proceed in a direction that decreases the entropy of a
system. This is arranged by allowing a system to be easily disturbed
so that it will jump out of stable states from time to time. A
selection process (survival of the fittest) ensures that the system
is allowed to resettle only into new stable states that have lower
entropy.
Any economic theory that isn't based upon the concept of chaos and
attractors is doomed to failure. In other words, the idea of
describing the economy by means of deterministic formulae is "pie in
the sky" because it is not possible to predict the behavior of
complex dynamic systems using mathematical formulae.
Peter Small
Author of: Lingo Sorcery, Magical A-Life Avatars, The Entrepreneurial
Web, The Ultimate Game of Strategy and Web Presence
http://www.stigmergicsystems.com
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