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Kolmogorov complexity is useful to talk about because Kolmogorov complexity is easy to bound. It is always less than or equal to the length of the string.

Economics is really a study of organisms. Biologists often make the mistake of trying to define adaptiveness, but there probably is no such thing. In a universe of rock and scissors, it's clear which organism is best, but when paper comes along, suddenly they're equal.

Attempts at formalism come with the caveat that equilibrium strategies, (strategies such that, if all organisms use them, no organism can improve) generally require the zero cost generation of random numbers.

What does this mean for our function which assigns economic value to programs? Non-trivial (not zero everywhere) solutions are not guaranteed to exist, and indeed the case for their existence doesn't look hopeful.




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