[br]Click to enlarge[/br]
This table is quite telling I think. The first resource has a tt of 78 pecs/unit and the second has a tt of 96 pecs.
So there are two large tt resources. The size of one unit puts constraints on how many pecs a claim can be worth (multiples of unit tt value).
Let's consider the model I've been working with, namely classes with uniform distributions. For 104-amped enmatter, the first three classes correspond to (approximately)
C1 1.96 to 3.24 peds (~48% frequency)
C2 4.72 to 10.00 peds (~48% frequency)
C3 22.8 to 28.4 peds (~2% frequency)
These ranges should shift down a bit if taxed. But we will ignore tax for now.
An obvious question immediately arises: How can you get 3.84 peds of a tt=96 pec resource (the only claim size for size V in Steffel's data), which is not inside any of the proposed class ranges?
Answer: (here's a scenario) Two possible claim sizes for this resource are 2.88 peds (3 units) and 3.84 peds (4 units). Assume the loot algorithm randomly assigns a class and value within the class to a particular claim. What happens if the loot algorithm assigns C1, 3.02 peds (or any number above 2.88 peds) to the value of the claim?
Obviously, you cannot dig up 3.15 units (3.02 peds) of a resource. So you either get 3 or 4 units. If you always got 3 (2.88 peds), that would be unfair. Though it could be a hidden source of "decay" for MA, if they chose to do it that way. If you always got 4 units, then MA would presumably lose consistently.
(here's the hypothesis) To circumvent this problem, MA randomly gives 3 or 4 units, in a weighted manner. Since 3.02 peds is closer to 2.88 peds (3 units) than 3.84 peds (4 units), you are more likely to get 3 vs 4 units. For a 3.02 ped claim assignment, you then have a
(3.02-2.88)/0.96 = 14.6%
chance of getting 4 units, and an 85.4% chance of getting 3 units.
If you follow through on this hypothesis, and play around with falkao's table of steffel's data, you can reach the following comparison.
Code:
# units observed calculated
2 38 30.5
3 57 53.5
4 6 4.8
5 6 9.4
6 14 16.1
7 16 16.1
8 21 16.1
9-12 22 31.1
Larger 5 7.4
Total 185 185
The agreement is obviously not perfect, but seems reasonable given only 185 loots.
Is this hypothesis the answer? I don't know, but it's the best so far, in my opinion. It should also be noted that the simulation would give no size 12 (and few size 11) claims, but those cannot be discerned from the real data.
I will try to do a similar table for the 78 pec resource; we'll see . . .