Tanoujin Milestone wrote: ↑Thu Jul 27, 2017 9:39 pm
I woke up with an example formula:
y = -0.2 * x + 25
with y being the maximal number of parcels you may own and x being the average occupancy (we can take that from the Casper site)
In effect, we would allow 5 parcels at 100% occupancy and 25 at 0%. At the moment we are at 70%. The limit would be 11 parcels.
Now we can play with it and adapt it to our needs.
Edit: sorry for posting so much. I’ll try to keep that short.
I raised the y-offset by one, but kept the gradient:
y = -0.2 * x + 26
To give you a better idea of the graph, i am going to present you a lookup table
26% - 30% -> 20 parcels
31% - 35% -> 19 parcels
36% - 40% -> 18 parcels
41% - 45% -> 17 parcels
46% - 50% -> 16 parcels
51% - 55% -> 15 parcels
56% - 60% -> 14 parcels
61% - 65% -> 13 parcels
66% - 70% -> 12 parcels
71% - 75% -> 11 parcels
76% - 80% -> 10 parcels
81% - 85% -> 9 parcels
86% - 90% -> 8 parcels
91% - 95% -> 7 parcels
96% - 100% -> 6 parcels
Because there is no such thing like half a parcel, we would round down the limit to the next integer.
Occupancy 71% -> 11,8 matches 11 parcels.
There might be a problem if we are close to the threshold. It could occur that I buy my 12th parcel at 70%, but make the occupancy rise to 71% by this, so that I lose my legitimation to have it immediately. No idea how to adress that. Maybe it is a minor problem, I do not know.
Tan, YES!
I love the reasoning here. I could not have come up with the formula, but I understand the formula, and I love this approach because taking the problem as a mathematical challenge means that the solution is fair... it is solved by math, rather than by arbitrary rules.
But some reading this may not be able to translate this into "real world". So let me offer a translation.
The CDS has 226 parcels for occupancy (I'll omit any distinction of normal parcels vs prim parcels for the purpose of this discussion... we can make that distinction later if you wish). At this moment, 176 are occupied, and 52 are empty.
Using Tan's formula, I have converted his lookup chart to "occupied parcels". The following chart shows the range of occupied parcels which would yield how many parcels an owner may own.
Occupied Person Can Own
1-5 ____ 26
6-17 ____ 25
18-28 ____ 24
29-39____ 23
40-51 ____ 22
52-62 ____ 21
63-73 ____20
74-85 ____19
86-96 ____18
97-107 ____17
108-119 ____16
120-130 ____15
131-142 ____14
143-153 ____13
154-164 ____12
165-176 ____11
177-187 ____10
188-198 ____9
199-210 ____8
211-221 ____7
222-226 ____6
So you can see that with 176 parcels occupied, the max ownership would be 11 parcels... which is as Tan said.
So, Tan brings up a complication. What if he owns 10 parcels right now? He's allowed to buy one more. But he buys the one more, and occupied increases to 177. Suddenly he's only allowed to own 10 parcels. Wheee! A black hole of logic!
In fact, using this underlying formula, we could make this much more simple. By applying the realities of our situation to the otherwise purely mathematical formula.
1) In my opinion, if fewer than say.... 190 parcels... are occupied, then we shouldn't need any detailed limitations. We need the money, and we'd like to see occupancy. We should simply apply the maximum cap, in this case 26. That would simplify the chart hugely!
1- 189 ____ 26
190-198 ____9
199-210 ____8
211-221 ____7
222-226 ____6
Then, we don't really need 5 tiers of allowableness. 3 would be plenty. So the table is further simplified.
1- 189 ____26
190-210 ____9
211-226 ____6
We're still using the mathematical formula, but we're simplifying it down to what we actually need. And the simplification makes it much easier to administer... to understand even.
So that would be my suggestion.
Sudane.........................