For a while I have been thinking about how to mathematically describe a hypothesis I had about 5 years ago about calculating the entropic rate of a game system, as in the rate at which the game tends towards disorder, so that it could be testable.
Last night I came up with this and I am wondering what people here think. I am sure you will all savage me but what the hell 🙂
(This is very back of the envelope)
D = Difficulty: The energy or force required to fulfill the goal
V = Verifiability: The energy or force required to verify that the goal was fulfilled
U = Universality: The rate of inclusion
I = Independence: the inverse of the influence of third parties
D can be normalised, so:
d = 1
v = 1-V/D
U and u can be calculated by somehow counting the numbers of players excluded or who suffer penalty for reasons unrelated to the goal out of the total number of actual players. (For example, how many women or men without land were excluded from voting pre universal suffrage.) 'u' is the percentage rate of inclusion, or 1 – e/p, where e is the amount of exclusion and p is the number of players. U = p – e.
u = 1 – e/p
'I' could be calculated by the topology of the influence of third parties on the verification process. The more evenly distributed across players energy of verification is the more flat the topology and thus the less influential third party experts and authorities are. So maybe the mean (mn) energy exerted by a party in verification over the max (mx), or…
i = mm/mx
So the entropy of a game system can be calculated as:
d × v × u × i, where closer to 1 is less entropic, or more meta stable.
In practice it is almost impossible to calculate these values in the real world, but the interesting thing is that the difficulty in calculating the entropic rate of a game system is proportional to the entropic rate. With Bitcoin's proof of work algorithm it's trivial to calculate each of these numbers, and the rate of entropy is, for all intents and purposes, 1 – i.e. metastable.
Where as try to calculate the entropic rate of democracy. And which system seems more entropic?
submitted by /u/CiaranCarroll
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